Dava Arobby

 

 Nama

: Dava Arobby

 NIM

: 180150135

Mata Kuliah

: Analisa Sistem Tenaga

Kelas

: A2

Dose Do sen n Pen Pengam gampu

: Arn Arnawan awan Has Hasib ibu uan an..S.T S.T..M. ..M.T. T.

UJIAN AKHIR SEMESTER 

1. Gambar di bawah memperlihatkan diagram segaris dari system tenaga 5-bus. Data saluran transmisi diperlihatkan pada Tabel. Semua data adalah dalam pu pada dasar  100 MVA.

Gambar Sistem Tenaga 5 Bus

Tabel Data Saluran

Bus-Ke-Bus

Impedansi Seri

 p – q

 z  pq

1–2 1–3 2–3 2–4 2–5 3–4 4–5

0.02 + j0.35 0.08 + j0.24 0.06 + j0.18 0.35 + j0.18 0.04 + j0.12 0.01 + j0.03 0.08 + j0.24

 

Table data bus :. Bus code

ion n Assumade Generatio bus

Load

Voltage MW MVAR ∆MW ∆MVAR 

1 2

1.06 + j0.0 0 1.00 + j0.0 40

0 30

0 20

0 10

3 4 5

1..0 00 0+ + jj0 0..0 0 1 1.00 + j0.0

0 0 0

40 5 4 60

155 10

0 0 0

Berdasarkan data tersebut. tentukan: a.

Admi Admita tans nsii-ad admi mita tans nsii diri diri.. Y11. Y22. Y33. Y44. Y 55.

 b.

Admitansi-admitansi bersama antar bus

c. Matriks admitansi bus Y bus. d. Vektor dari sudut/besar tegangan bus dan selisih daya (power mismatch). e. Tuliskan rumus untuk elemen-elemen dari vektor selisih daya. f. Tuliskan rumus untuk matriks Jacobian. g. Tuliskan persamaan iteratif Newton-Raphson untuk solusi aliran daya. h. Lakukan perhitungan iterasi Newton Raphson sebanyak 5 iterasi (boleh menggunakan Matlab atau Exel).\\ i.Tunjukkan i. Tunjukkan hasil perhitungan aliran daya yang saudara dapatkan dari 5 iterasi tersebut.

Catatan : 

Untuk Impedansi 1 – 2 nilai imajinernya dengan huruf ab merupakan dua angka terakhir NPM masing-masing



Untuk Impedansi 2 – 4 nilai realnya dengan huruf ab merupakan dua angka terakhir  NPM masing-masing

 

Jawab : Admintansi Seri : ypq= 1 ⁄ z pq  p-q

ypq = 1 ⁄  z pq

1 -2

0.162-j2.847

1 -3

1.254 – j3.764

2 -3

1.673 – j5.019

2 -4

2.259 – j1.162

2 -5

2.509 – j7.528

3 -4

10 – j30.021

4 -5

1.25 - j3.76

a.) Admitansi Diri Y11.Y22.Y33.Y44.Y55

Y11

= Y12+Y13 = (0.162-j2.847) + (1.254 – j3.764) = 1.416 – j6.611

Y22

= Y12 + Y23 + Y24 + Y25 = (0.162-j2.847) + (1.673 – j5.019) + (2.259 – j1.162)+(2.509 –   j7.528) = 6.603 – j16.556

Y33

= Y13+ Y23+ Y 34 = (1.254 – j3.764) + (1.673 – j5.019) + (10 – j30.021) =12.927 – j38.804

Y44

= Y24+ Y34+ Y 45 = (2.259 – j1.162) + (10 – j30.021) + (1.25-j3.76) = 13.509 – j34.943

Y55

= Y25 + Y45 = (2.509 – j7.528) + ( 1.25-j3.76 ) = 3.759 – j11.288

 

 b) Admitansi – admitansi bersama antar bus

Y12 = Y21 = - Y12 = -0.162+j2.847  Y13 = Y31 =- Y13 = -1.254 + j3.764 Y14 = Y41 = 0 Y15 = Y51 = 0

Y23 = Y 32 = - Y23 = -1.673 + j5.019 Y24 = Y42 = - Y24 = -2.259 + j1.162 Y25 = Y52 = -Y25 = -2.509 + j7.528

Y34 = Y43 = - Y34 = -10 + j30.021 Y35 = Y53 = 0

Y45 = Y54 = -Y45 = -1.25 + j3.76

c) Matriks admitansi bus Y bus.

Y=

1.663 – j7 j7.834 j4.507 − 0.409 + j4

0.409 − j4 j 4.507 7.316 – j1 j19.283

1.25 + j3.764 1.673 − j5 j5.019

2.725 − j2 j2.229

2.509 − j7.528

−1.254 + j3 j3.764

12.927 – j3 j38.804 −10 + j3 j30.021

10 − j3 j30.021 13.975 – jj3 36.01

0

0

−1.673 + j5.019 −2.725 + j2 j2.229

1.25 − j3.76

0

−2.509 + j7.528

0

−1.25 + j3. j3.76

3.759 – j11.288]

 

[

0

0

d) Vektor dari sudut/besar tegangan bus dan selisih daya (power mismatch). Jawab: oleh karena bus 1 dengan tegangan 1.06 maka disebut bus slack dan bus 3 adalah  bus PV . maka vector dari sudut/besar tegangann bus bus dan vector dari selisih daya adalah :

 

2 3 4

 

P2  P3  P

4

P  [ … ] = 5   ; […] =  P5  |V| …   …   |V|2

 |V|4

[|V |5]

 

 2 

4   [5]

e)Tuliskan e) Tuliskan rumus untuk elemen-elemen dari vektor selisih s elisih daya. Jawab :   |V2 |Y2 j | P2  =  −PG2 +  PL2 + ∑5  j=1  |V V j |CS  ( 2 −  j  − 2 j )

P3  =  −PG3 +  PL3 + ∑5 P4  =  −PG4 +  PL4 + ∑5 P5  =  −PG5 +  PL5 + ∑5

 

|V3 |Y3 j |  |V V j |CS  ( 3 −  j − 3 j )

 

|V4 |Y4 j |  |V V j |CS  ( 4 −  j − 4 j )

 j=1

 j=1

   j=1

|V5 |Y5 j |  |V V j |CS  ( 5 −  j − 5 j )

 |V 2  =  −G2 +  L2  + ∑5 j=1  |V2 |Y2 j | V j |CS  ( 2 −  j − 2 j )  |V 4  =  −G4 +  L4 + ∑5 j=1  |V4 |Y4 j | V j |CS  ( 4 −  j  − 4 j )  |V V j |CS  ( 5 −  j  − 5 j ) 5  =  −G5 +  L5 + ∑5 j=1  |V5 |Y4 j | f) Tuliskan rumus untuk matriks Jacobian.  P 2 

2

 P 2  P 2 3

4

 P 3 P 3  P 3

2 3

 P 2  P 2   5 : |V 5| P 3

4

5

 P 4   P 4  P 4  P 4

2

J1 J2 Jawab : [J] = [ ]= J 3J 4

…

3

5

|V5|

  P 4    |V5|

∶

P 5  P 5  P 5  P 5  P 5  2 3 4  5 ∶ |V 5|

… … … … … … … …   2  2  2  2   2 

 2

 3  4 ∶5

  4    2  4 

3

[

4

 P 3 

∶

  5     2 5  3

|V 5|

    4   4  4 ∶

 5

|V 5|

4    5

4

  5

5

  5 

∶

|V 5|

]

 

g) Tuliskan persamaan iteratif Newton-Raphson untuk solusi aliran daya Jawab :

  P2 (k)

P2

2

(k)

∆

2

∆

∆ (k )   = 5

4

P2

(k)

:

−1

(k)

P2

2 

|V5|

5

(k) (k)  

P3 |V5|

 

(k) 2

∶

(k)

P

P

(k)

P

(k)

P

(k)

4 

4 

4 

4 

2

3

4

5

(k)

∆4

3

(k)

P2

(k) (k)   P (k) P (k) P (k) P3 3 3 3    5 2 4 3

(k)  3

(k)

P5 

( k)

2

3

(k)

P5 P5   4 …  …   … … …

( k)

P  

(k)

P3

4 

∶

| V5|

(k )

(k)  

(k)  

( k)

P5 P5 ∶   |V |  … … 5… … 5

 P4 (k)  

P5   …

(k)

 |V |  2

  (k )   |V | 4

2

2

[| (k ) V |] 5

(k)

2

)  2

3

4

5

( k)

4

2 (k)

  5 [ 2

(k 

(k) 2

(k )

4

(k)

∶

(k)

 4

 4

(k)

[5 ]

|V5| 

3

4

5

5

5

(k)

(k)

)

3

4

5

5

4 (k)  

∶

(k)  

  2

(k )  

| V5|

(k)

( k)

 4

2

(k 

(k) 

5   |V5| ]

∶

h) Lakukan perhitungan iterasi Newton Raphson sebanyak 5 iterasi (boleh menggunakan Matlab atau Exel).  

Jawab : program menggunakan matlab

 

clear clc format short

   

                

disp ('Data ('Data Bus') Bus') V1 = 1.06 V3 = 1.00 delta1 = 0.00 delta5 = 0.00 Pd2 = 20 Qd2 = 20 Pd3 = 45 Qd3 = 15 Pd4 = 40 Qd4 = 5

 

 

Pd5 = 60 Qd5 = 10

    

%Data admitansi diri Y(1,1)=1.663 Y(1,1)=1.66 3 - 7.834i;

 

       

Y(2,2)=7.316 - 19.283i; Y(2,2)=7.316 Y(3,3)=12.927 - 38.804i; Y(4,4)=13.975 - 36.01i; Y(5,5)=3.759 Y(5,5)=3.75 9 - 11.288i;

        

Y(1,2)=0.409 - 4.507i; Y(1,2)=0.409 Y(1,3)=1.254 Y(1,3)=1.25 4 - 3.764i; Y(1,4)=0; Y(1,5)=0;

        

Y(2,1)=-0.409+4.507i; Y(3,1)=-1.254 +3.764i; Y(4,1)=0; Y(5,1)=0;

      

Y(2,3)=1.673 + 5.019i; Y(2,3)=1.673 Y(2,4)=2.725 Y(2,4)=2.72 5 + 2.229i; Y(2,5)=2.509 Y(2,5)=2.50 9 + 7.528i;

    

Y(3,2)=-1.673 + 5.019i; Y(3,4)=10 - 30.021i;

 

Y(3,5)=0;

 

Y(4,2)=-2.725 + 2.229i; Y(4,3)=-10 + 30.021i; Y(4,5)=-1.25 Y(4,5)=-1.2 5 + 3.76i;



   

      

Y(5,2)=-2.509 + 7.528i; Y(5,3)=0; Y(5,4)=-1.25 Y(5,4)=-1.2 5 + 3.76i;

    



   

disp ('matriks ('matriks admitansi bus') bus') Ybus = [Y(1,1) Y(1,2) Y(1,3) Y(1,4) Y(1,5);Y(2,1) Y(2,2) Y(2,3) Y(2,4) Y(2,5);Y(3,1) Y(3,2) Y(3,3) Y(3,4) Y(3,5);Y(4,1) Y(4,2) Y(4,3) Y(4,4) Y(4,5);Y(5,1) Y(5,2) Y(5,3) Y(5,4) Y(5,5)] Y = abs(Ybus) Teta = angle(Ybus)

                

disp ('Iterasi ('Iterasi ke-0') ke-0') delta2=0.00 delta3=0.00 delta4=0.00 delta5=0.00 V2=1.00 V4=1.00 V5=1.00

  



Vektor_Tegangan_Awal = [delta2;delta3;delta4;delta5;V2;V3;V4;V5]

 

   

disp ('Perhitungan ('Perhitungan Power Mismatch dengan estimasi awal') awal') P2h = (V2*Y(2,1)*(V1)*cos(delta2-delta1-Teta(2,1))) + (V2*Y(2,2)*(V2)*cos(delta2-delta2-Teta(2,2))) + (V2*Y(2,3)*(V3)*cos(delta2-delta3-Teta(2,3))) + (V2*Y(2,4)*(V4)*cos(delta2-delta4-Teta(2,4))) + (V2*Y(2,5)*(V5)*cos(delta2-delta5-Teta(2,5)))

  

P3h = (V3*Y(3,1)*V1*cos(delta3-delta1-Teta(3,1))) + (V3*Y(3,2)*V2*cos(delta3-delta2-Teta(3,2))) + (V3*Y(3,3)*V3*cos(delta3-delta3-Teta(3,3))) + (V3*Y(3,4)*(V4)*cos(delta3-delta4-Teta(3,4))) + (V3*Y(3,5)*(V5)*cos(delta3-delta5-Teta(3,5)))

  

P4h = (V4*Y(4,1)*V1*cos(delta4-delta1-Teta(4,1))) + (V4*Y(4,2)*V2*cos(delta4-delta2-Teta(4,2))) + (V4*Y(4,3)*V3*cos(delta4-delta3-Teta(4,3))) + (V4*Y(4,4)*(V4)*cos(delta4-delta4-Teta(4,4))) + (V4*Y(4,5)*(V5)*cos(delta4-delta5-Teta(4,5)))

  

P5h = (V5*Y(5,1)*V1*cos(delta5-delta1-Teta(5,1))) + (V5*Y(5,2)*V2*cos(delta5-delta2-Teta(5,2))) + (V5*Y(5,3)*V3*cos(delta5-delta3-Teta(5,3))) + (V5*Y(5,4)*(V4)*cos(delta5-delta4-Teta(5,4))) + (V5*Y(5,5)*(V5)*cos(delta5-delta5-Teta(5,5)))

  

Q2h = (V2*Y(2,1)*V1*sin(delta2-delta1-Teta(2,1))) + (V2*Y(2,2)*V2*sin(delta2-delta2-Teta(2,2))) + (V2*Y(2,3)*V3*sin(delta2-delta3-Teta(2,3))) + (V2*Y(2,4)*V4*sin(delta2-delta4-Teta(2,4))) + (V2*Y(2,5)*V5*sin(delta2-delta5-Teta(2,5)))

  

Q3h = (V3*Y(3,1)*V1*sin(delta3-delta1-Teta(3,1))) + (V3*Y(3,2)*V2*sin(delta3-delta2-Teta(3,2))) + (V3*Y(3,3)*V3*sin(delta3-delta3-Teta(3,3))) + (V3*Y(3,4)*V4*sin(delta3-delta4-Teta(3,4))) + (V3*Y(3,5)*V5*sin(delta3-delta5-Teta(3,5)))

  

Q4h = (V4*Y(4,1)*V1*sin(delta4-delta1-Teta(4,1))) + (V4*Y(4,2)*V2*sin(delta4-delta2-Teta(4,2))) + (V4*Y(4,3)*V3*sin(delta4-delta3-Teta(4,3))) + (V4*Y(4,4)*V4*sin(delta4-delta4-Teta(4,4))) + (V4*Y(4,5)*V5*sin(delta4-delta5-Teta(4,5)))

  

Q5h = (V5*Y(5,1)*V1*sin(delta5-delta1-Teta(5,1))) + (V5*Y(5,2)*V2*sin(delta5-delta2-Teta(5,2))) + (V5*Y(5,3)*V3*sin(delta5-delta3-Teta(5,3))) + (V5*Y(5,4)*V4*sin(delta5-delta4-Teta(5,4))) + (V5*Y(2,5)*V5*sin(delta5-delta5-Teta(5,5)))

            

disp ('Menghitung ('Menghitung Perbedaan Daya') Daya') P2d = (Pd2/100) P3d = -(Pd3/100) P4d = -(Pd4/100) P5d = -(Pd5/100) Q2d = (Qd2/100)

 

     

Q3d = -(Qd3/100) Q4d = -(Qd4/100) Q5d = -(Qd5/100)

                  

disp ('Maka ('Maka perbedaan daya diperoleh') diperoleh') P2=P2d-P2h P3=P3d-P3h P4=P4d-P4h P5=P5d-P5h Q2=Q2d-Q2h Q3=Q3d-Q3h Q4=Q4d-Q4h Q5=Q5d-Q5h

  

Vektor_Power_Mismatch = [P2;P3;P4;P5;Q2;Q3;Q4;Q5]

    

       

     

%Sehingga Matrik Jakobian Menjadi : Jakobi_11 = V1*V2*Y(2,1)*sin(Teta(2,1) + delta1 - delta2) + V2*V3*Y(2,3)*sin(Teta(2,3) - delta2 + delta3) + V2*V4*Y(2,4)*sin(Teta(2,4) - delta2 + delta4) + V2*V5*Y(2,5)*sin(Teta(2,5) - delta2 + delta5) Jakobi_12 = V2*V3*Y(2,3)*sin(delta2 - delta3 - Teta(2,3)) Jakobi_13 = V2*V4*Y(2,4)*sin(delta2 - delta4 - Teta(2,4)) Jakobi_14 = V2*V5*Y(2,5)*sin(delta2 - delta5 - Teta(2,5)) Jakobi_15 = V2*Y(2,2)*cos(Teta(2,2)) + V1*Y(2,1)*cos(delta2 - delta1 - Teta(2,1)) + V2*Y(2,2)*cos(delta2 - delta2 - Teta(2,2)) + V3*Y(2,3)*cos(delta2 - delta3 - Teta(2,3)) + V4*Y(2,4)*cos(delta2 delta4 - Teta(2,4)) + V5*Y(2,5)*cos(delta2 - delta5 - Teta(2,5)) Jakobi_16 = V2*Y(2,3)*cos(delta2 - delta3 - Teta(2,3)) Jakobi_17 = V2*Y(2,4)*cos(delta2 - delta4 - Teta(2,4)) Jakobi_18 = V2*Y(2,5)*cos(delta2 - delta5 - Teta(2,5))

    

       

   

Jakobi_21 = -V2*V3*Y(3,2)*sin(Teta(3,2) + delta2 - delta3) Jakobi_22 = V1*V3*Y(3,1)*sin(Teta(3,1) + delta1 - delta3) + V2*V3*Y(3,2)*sin(Teta(3,2) + delta2 - delta3) + V3*V4*Y(3,4)*sin(Teta(3,4) + delta4 - delta3) + V3*V5*Y(3,5)*sin(Teta(3,5) + delta5 - delta3) Jakobi_23 = V3*V4*Y(3,4)*sin(delta3 - delta4 - Teta(3,4)) Jakobi_24 = V3*V5*Y(3,5)*sin(delta3 - delta5 - Teta(3,5)) Jakobi_25 = V3*Y(3,2)*cos(delta3 - delta2 - Teta(3,2)) Jakobi_26 = V3*Y(3,3)*cos(Teta(3,3)) + V1*Y(3,1)*cos(delta3 - delta1 - Teta(3,1)) + V2*Y(3,2)*cos(delta3 - delta2 - Teta(3,2)) + V3*Y(3,3)*cos(delta3 - delta3 - Teta(3,3)) + V4*Y(3,4)*cos(delta3 delta4 - Teta(3,4)) + V5*Y(3,5)*cos(delta3 - delta5 - Teta(3,5)) Jakobi_27 = V3*Y(3,4)*sin(delta3 - delta4 - Teta(3,4)) Jakobi_28 = V3*Y(3,5)*sin(delta3 - delta5 - Teta(3,5))

      

Jakobi_31 = V4*V2*Y(4,2)*sin(delta4 - delta2 - Teta(4,2)) Jakobi_32 = V4*V3*Y(4,3)*sin(delta4 - delta3 - Teta(4,3)) Jakobi_33 = -V4*V1*Y(4,1)*sin(delta4 - delta1 - Teta(4,1)) V4*V2*Y(4,2)*sin(delta V4*V2*Y(4,2 )*sin(delta4 4 - delta2 - Teta(4,2)) V4*V3*Y(4,3)*sin(delta V4*V3*Y(4,3 )*sin(delta4 4 - delta3 - Teta(4,3)) V4*V5*Y(4,5)*sin(delta V4*V5*Y(4,5 )*sin(delta4 4 - delta5 - Teta(4,5))

 

       

 

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Jakobi_34 = V4*V5*Y(4,5)*sin(delta4 - delta5 - Teta(4,5)) Jakobi_35 = V4*Y(4,2)*cos(delta4 - delta2 - Teta(4,2)) Jakobi_36 = V4*Y(4,3)*cos(delta4 - delta3 - Teta(4,3)) Jakobi_37 = V4*Y(4,4)*cos(Teta(4,4)) + V1*Y(4,1)*cos(delta4 - delta1 - Teta(4,1)) + V2*Y(4,2)*cos(delta4 - delta2 - Teta(4,2)) + V3*Y(4,3)*cos(delta4 - delta3 - Teta(4,3)) + V4*Y(4,4)*cos(delta4 delta4 - Teta(4,4)) + V5*Y(4,5)*cos(delta4 - delta5 - Teta(4,5)) Jakobi_38 = V4*Y(4,5)*cos(delta4 - delta5 - Teta(4,5)) Jakobi_41 = V5*V2*Y(5,2)*sin(delta5 - delta2 - Teta(5,2)) Jakobi_42 = V5*V3*Y(5,3)*sin(delta5 - delta3 - Teta(5,3)) Jakobi_43 = V5*V4*Y(5,4)*sin(delta5 - delta4 - Teta(5,4)) Jakobi_44 = -V5*V1*Y(5,1)*sin(delta5 - delta1 - Teta(5,1)) V5*V2*Y(5,2)*sin(delta V5*V2*Y(5,2 )*sin(delta5 5 - delta2 - Teta(5,2)) V5*V3*Y(5,3)*sin(delta V5*V3*Y(5,3 )*sin(delta5 5 - delta3 - Teta(5,3)) V5*V4*Y(5,4)*sin(delta V5*V4*Y(5,4 )*sin(delta5 5 - delta4 - Teta(5,4)) Jakobi_45 = V5*Y(5,2)*cos(delta5 - delta2 - Teta(5,2)) Jakobi_46 = V5*Y(5,3)*cos(delta5 - delta3 - Teta(5,3)) Jakobi_47 = V5*Y(5,4)*cos(delta5 - delta4 - Teta(5,4)) Jakobi_48 = V5*Y(5,5)*cos(Teta(5,5)) + V1*Y(5,1)*cos(delta5 - delta1 - Teta(5,1)) + V2*Y(5,2)*cos(delta5 - delta2 - Teta(5,2)) + V3*Y(5,3)*cos(delta5 - delta3 - Teta(5,3)) + V4*Y(5,4)*cos(delta5 delta4 - Teta(5,4)) + V5*Y(5,5)*cos(delta5 - delta5 - Teta(5,5)) Jakobi_51 = V2*V1*Y(2,1)*cos(delta2 - delta1 - Teta(2,1)) + V2*V3*Y(2,3)*cos(delta V2*V3*Y(2,3 )*cos(delta2 2 - delta3 - Teta(2,3)) + V2*V4*Y(2,4)*cos(delta V2*V4*Y(2,4 )*cos(delta2 2 - delta4 - Teta(2,4))+ V2*V5*Y(2,5)*cos(delta V2*V5*Y(2,5 )*cos(delta2 2 - delta5 - Teta(2,5)) Jakobi_52 = -V2*V3*Y(2,3)*cos(delta2 - delta3 - Teta(2,3)) Jakobi_53 = -V2*V4*Y(2,4)*cos(delta2 - delta4 - Teta(2,4)) Jakobi_54 = -V2*V5*Y(2,5)*cos(delta2 - delta5 - Teta(2,5)) Jakobi_55 = -V2*Y(2,2)*sin(Teta(2,2)) + V1*Y(2,1)*sin(delta2 - delta1 - Teta(2,1)) + V2*Y(2,2)*sin(delta2 - delta2 - Teta(2,2)) + V3*Y(2,3)*sin(delta2 - delta3 - Teta(2,3)) + V4*Y(2,4)*sin(delta2 delta4 - Teta(2,4)) + V5*Y(2,5)*sin(delta2 - delta5 - Teta(2,5)) Jakobi_56 = V2*Y(2,3)*sin(delta2 - delta3 - Teta(2,3)) Jakobi_57 = V2*Y(2,4)*sin(delta2 - delta4 - Teta(2,4)) Jakobi_58 = V2*Y(2,5)*sin(delta2 - delta5 - Teta(2,5))

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Jakobi_61 = V3*V2*Y(3,2)*cos(Teta(3,2) - delta3 + delta2) Jakobi_62 = V3*V1*Y(3,1)*cos(delta3 - delta1 - Teta(3,1)) + V3*V2*Y(2,3)*cos(delta V3*V2*Y(2,3 )*cos(delta3 3 - delta2 - Teta(3,2)) + V3*V4*Y(3,4)*cos(delta V3*V4*Y(3,4 )*cos(delta3 3 - delta4 - Teta(3,4)) + V3*V5*Y(3,5)*cos(delta V3*V5*Y(3,5 )*cos(delta3 3 - delta5 - Teta(3,5)) Jakobi_63 = V3*V4*Y(3,4)*cos(Teta(3,4) - delta3 + delta4) Jakobi_64 = V3*V5*Y(3,5)*cos(Teta(3,5) - delta3 + delta5) Jakobi_65 = V3*Y(3,2)*sin(delta3 - delta2 - Teta(3,2)) Jakobi_66 = -V3*Y(3,3)*sin(Teta(3,3)) + V1*Y(3,1)*sin(delta3 - delta1 - Teta(3,1)) + V2*Y(3,2)*sin(delta3 - delta2 - Teta(3,2)) + V3*Y(3,3)*sin(delta3 - delta3 - Teta(3,3)) + V4*Y(3,4)*sin(delta3 delta4 - Teta(3,4)) + V5*Y(3,5)*sin(delta3 - delta5 - Teta(3,5)) Jakobi_67 = V3*Y(3,4)*sin(delta3 - delta4 - Teta(3,4)) Jakobi_68 = V3*Y(3,5)*sin(delta3 - delta5 - Teta(3,5))

 

     

       

 

Jakobi_71 = V4*V2*Y(4,2)*cos(Teta(4,2) - delta4 + delta2) Jakobi_72 = V4*V3*Y(4,3)*cos(Teta(4,3) - delta4 + delta3) Jakobi_73 = V4*V1*Y(4,1)*cos(delta4 - delta1-Teta(4,1)) + V4*V2*Y(4,2)*cos(delta V4*V2*Y(4,2 )*cos(delta4 4 - delta2 - Teta(4,2)) + V4*V3*Y(4,3)*cos(delta V4*V3*Y(4,3 )*cos(delta4 4 - delta3 - Teta(4,3)) + V4*V5*Y(4,5)*cos(delta4 - delta5-Teta(4,5)) Jakobi_74 = V4*V5*Y(4,5)*cos(Teta(4,5) - delta4 + delta5) Jakobi_75 = V4*Y(4,2)*sin(delta4 - delta2 - Teta(4,2)) Jakobi_76 = V4*Y(4,3)*sin(delta4 - delta3 - Teta(4,3)) Jakobi_77 = -V4*Y(4,4)*sin(Teta(4,4)) + V1*Y(4,1)*sin(delta4 - delta1 - Teta(4,1)) + V2*Y(4,2)*sin(delta4 - delta2 - Teta(4,2)) + V3*Y(4,3)*sin(delta4 - delta3 - Teta(4,3)) + V4*Y(4,4)*sin(delta4 delta4 - Teta(4,4)) + V5*Y(4,5)*sin(delta4 - delta5 - Teta(4,5)) Jakobi_78 = V4*Y(4,5)*sin(delta4 - delta5 - Teta(4,5))

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Jakobi_81 = V5*V2*Y(5,2)*cos(Teta(5,2) - delta5 + delta2) Jakobi_82 = V5*V3*Y(5,3)*cos(Teta(5,3) - delta5 + delta3) Jakobi_83 = V5*V4*Y(5,4)*cos(Teta(5,4) - delta5 + delta4) Jakobi_84 = V5*V1*Y(5,1)*cos(delta5 - delta1 - Teta(5,1)) + V5*V2*Y(5,2)*cos(delta V5*V2*Y(5,2 )*cos(delta5 5 - delta2 - Teta(5,2)) + V5*V3*Y(5,3)*cos(delta V5*V3*Y(5,3 )*cos(delta5 5 - delta3 - Teta(5,3)) + V5*V4*Y(5,4)*cos(delta V5*V4*Y(5,4 )*cos(delta5 5 - delta4 - Teta(5,4)) Jakobi_85 = V5*Y(5,2)*sin(delta5 - delta2 - Teta(5,2)) Jakobi_86 = V5*Y(5,3)*sin(delta5 - delta3 - Teta(5,3)) Jakobi_87 = V5*Y(5,4)*sin(delta5 - delta4 - Teta(5,4)) Jakobi_88 = -V5*Y(5,5)*sin(Teta(5,5)) + V1*Y(5,1)*sin(delta5 - delta1 - Teta(5,1)) + V2*Y(5,2)*sin(delta5 - delta2 - Teta(5,2)) + V3*Y(5,3)*sin(delta5 - delta3 - Teta(5,3)) + V4*Y(5,4)*sin(delta5 delta4 - Teta(5,4)) + V5*Y(5,5)*sin(delta5 - delta5 - Teta(5,5))

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Jakobian = [Jakobi_11 Jakobi_12 Jakobi_13 Jakobi_14 Jakobi_15 Jakobi_16 Jakobi_17 Jakobi_18;Jakobi_21 Jakobi_22 Jakobi_23 Jakobi_24 Jakobi_25 Jakobi_26 Jakobi_27 Jakobi_28;Jakobi_31 Jakobi_32 Jakobi_33 Jakobi_34 Jakobi_35 Jakobi_36 Jakobi_37 Jakobi_38;Jakobi_41 Jakobi_42 Jakobi_43 Jakobi_44 Jakobi_45 Jakobi_46 Jakobi_47 Jakobi_48;Jakobi_51 Jakobi_52 Jakobi_53 Jakobi_54 Jakobi_55 Jakobi_56 Jakobi_57 Jakobi_58;Jakobi_61 Jakobi_62 Jakobi_63 Jakobi_64 Jakobi_65 Jakobi_66 Jakobi_67 Jakobi_68;Jakobi_71 Jakobi_72 Jakobi_73 Jakobi_74 Jakobi_75 Jakobi_76 Jakobi_77 Jakobi_78;Jakobi_81 Jakobi_82 Jakobi_83 Jakobi_84 Jakobi_85 Jakobi_86 Jakobi_87 Jakobi_88 ]

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% Nilai-nilai koreksi untuk estimasi solusi:

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Inverse_Jakobian = inv(Jakobian) Nilai_Koreksi_Vektor_Tegangan = Inverse_Jakobian*Vektor_Power_Mismatch

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% Nilai estimasi Iterasi ke-1 disp ('Iterasi ('Iterasi 1') 1')

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Vektor_Tegangan_Baru = Vektor_Tegangan_Awal + Nilai_Koreksi_Vektor_Tegangan

 

               

delta2 = Vektor_Tegangan_Baru(1,1) delta3 = Vektor_Tegangan_Baru(2,1) delta4 = Vektor_Tegangan_Baru(3,1) delta5 = Vektor_Tegangan_Baru(4,1) V2 = Vektor_Tegangan_Baru(5,1) V3 = Vektor_Tegangan_Baru(6,1) V4 = Vektor_Tegangan_Baru(7,1) V5 = Vektor_Tegangan_Baru(8,1)

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disp ('Perhitungan ('Perhitungan Power Mismatch dengan estimasi awal') awal') P2h = (V2*Y(2,1)*(V1)*cos(delta2-delta1-Teta(2,1))) + (V2*Y(2,2)*(V2)*cos(delta2-delta2-Teta(2,2))) + (V2*Y(2,3)*(V3)*cos(delta2-delta3-Teta(2,3))) + (V2*Y(2,4)*(V4)*cos(delta2-delta4-Teta(2,4))) + (V2*Y(2,5)*(V5)*cos(delta2-delta5-Teta(2,5)))

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P3h = (V3*Y(3,1)*V1*cos(delta3-delta1-Teta(3,1))) + (V3*Y(3,2)*V2*cos(delta3-delta2-Teta(3,2))) + (V3*Y(3,3)*V3*cos(delta3-delta3-Teta(3,3))) + (V3*Y(3,4)*(V4)*cos(delta3-delta4-Teta(3,4))) + (V3*Y(3,5)*(V5)*cos(delta3-delta5-Teta(3,5)))

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P4h = (V4*Y(4,1)*V1*cos(delta4-delta1-Teta(4,1))) + (V4*Y(4,2)*V2*cos(delta4-delta2-Teta(4,2))) + (V4*Y(4,3)*V3*cos(delta4-delta3-Teta(4,3))) + (V4*Y(4,4)*(V4)*cos(delta4-delta4-Teta(4,4))) + (V4*Y(4,5)*(V5)*cos(delta4-delta5-Teta(4,5)))

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P5h = (V5*Y(5,1)*V1*cos(delta5-delta1-Teta(5,1))) + (V5*Y(5,2)*V2*cos(delta5-delta2-Teta(5,2))) + (V5*Y(5,3)*V3*cos(delta5-delta3-Teta(5,3))) + (V5*Y(5,4)*(V4)*cos(delta5-delta4-Teta(5,4))) + (V5*Y(5,5)*(V5)*cos(delta5-delta5-Teta(5,5)))

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Q2h = (V2*Y(2,1)*V1*sin(delta2-delta1-Teta(2,1))) + (V2*Y(2,2)*V2*sin(delta2-delta2-Teta(2,2))) + (V2*Y(2,3)*V3*sin(delta2-delta3-Teta(2,3))) + (V2*Y(2,4)*V4*sin(delta2-delta4-Teta(2,4))) + (V2*Y(2,5)*V5*sin(delta2-delta5-Teta(2,5)))

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Q3h = (V3*Y(3,1)*V1*sin(delta3-delta1-Teta(3,1))) + (V3*Y(3,2)*V2*sin(delta3-delta2-Teta(3,2))) + (V3*Y(3,3)*V3*sin(delta3-delta3-Teta(3,3))) + (V3*Y(3,4)*V4*sin(delta3-delta4-Teta(3,4))) + (V3*Y(3,5)*V5*sin(delta3-delta5-Teta(3,5)))

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Q4h = (V4*Y(4,1)*V1*sin(delta4-delta1-Teta(4,1))) + (V4*Y(4,2)*V2*sin(delta4-delta2-Teta(4,2))) + (V4*Y(4,3)*V3*sin(delta4-delta3-Teta(4,3))) + (V4*Y(4,4)*V4*sin(delta4-delta4-Teta(4,4))) + (V4*Y(4,5)*V5*sin(delta4-delta5-Teta(4,5)))

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Q5h = (V5*Y(5,1)*V1*sin(delta5-delta1-Teta(5,1))) + (V5*Y(5,2)*V2*sin(delta5-delta2-Teta(5,2))) + (V5*Y(5,3)*V3*sin(delta5-delta3-Teta(5,3))) +

 

(V5*Y(5,4)*V4*sin(delta5-delta4-Teta(5,4))) + (V5*Y(2,5)*V5*sin(delta5-delta5-Teta(5,5)))                   

disp ('Menghitung ('Menghitung Perbedaan Daya') Daya') P2d = (Pd2/100) P3d = -(Pd3/100) P4d = -(Pd4/100) P5d = -(Pd5/100) Q2d Q3d Q4d Q5d

= = = =

(Qd2/100) -(Qd3/100) -(Qd4/100) -(Qd5/100)

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disp ('Maka ('Maka perbedaan daya diperoleh') diperoleh') P2=P2d-P2h P3=P3d-P3h P4=P4d-P4h P5=P5d-P5h Q2=Q2d-Q2h Q3=Q3d-Q3h Q4=Q4d-Q4h Q5=Q5d-Q5h

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Vektor_Power_Mismatch = [P2;P3;P4;P5;Q2;Q3;Q4;Q5]

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%Sehingga Matrik Jakobian Menjadi : Jakobi_11 = V1*V2*Y(2,1)*sin(Teta(2,1) + delta1 - delta2) + V2*V3*Y(2,3)*sin(Teta(2,3) - delta2 + delta3) + V2*V4*Y(2,4)*sin(Teta(2,4) - delta2 + delta4) + V2*V5*Y(2,5)*sin(Teta(2,5) - delta2 + delta5) Jakobi_12 = V2*V3*Y(2,3)*sin(delta2 - delta3 - Teta(2,3)) Jakobi_13 = V2*V4*Y(2,4)*sin(delta2 - delta4 - Teta(2,4)) Jakobi_14 = V2*V5*Y(2,5)*sin(delta2 - delta5 - Teta(2,5)) Jakobi_15 = V2*Y(2,2)*cos(Teta(2,2)) + V1*Y(2,1)*cos(delta2 - delta1 - Teta(2,1)) + V2*Y(2,2)*cos(delta2 - delta2 - Teta(2,2)) + V3*Y(2,3)*cos(delta2 - delta3 - Teta(2,3)) + V4*Y(2,4)*cos(delta2 delta4 - Teta(2,4)) + V5*Y(2,5)*cos(delta2 delta5 - Teta(2,5)) Jakobi_16 = V2*Y(2,3)*cos(delta2 - delta3 -- Teta(2,3)) Jakobi_17 = V2*Y(2,4)*cos(delta2 - delta4 - Teta(2,4)) Jakobi_18 = V2*Y(2,5)*cos(delta2 - delta5 - Teta(2,5))

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Jakobi_21 = -V2*V3*Y(3,2)*sin(Teta(3,2) + delta2 - delta3) Jakobi_22 = V1*V3*Y(3,1)*sin(Teta(3,1) + delta1 - delta3) + V2*V3*Y(3,2)*sin(Teta(3,2) + delta2 - delta3) + V3*V4*Y(3,4)*sin(Teta(3,4) + delta4 - delta3) + V3*V5*Y(3,5)*sin(Teta(3,5) + delta5 - delta3) Jakobi_23 = V3*V4*Y(3,4)*sin(delta3 - delta4 - Teta(3,4)) Jakobi_24 = V3*V5*Y(3,5)*sin(delta3 - delta5 - Teta(3,5)) Jakobi_25 = V3*Y(3,2)*cos(delta3 - delta2 - Teta(3,2)) Jakobi_26 = V3*Y(3,3)*cos(Teta(3,3)) + V1*Y(3,1)*cos(delta3 - delta1 - Teta(3,1)) + V2*Y(3,2)*cos(delta3 - delta2 - Teta(3,2)) +

 

   

V3*Y(3,3)*cos(delta3 - delta3 - Teta(3,3)) + V4*Y(3,4)*cos(delta3 delta4 - Teta(3,4)) + V5*Y(3,5)*cos(delta3 - delta5 - Teta(3,5)) Jakobi_27 = V3*Y(3,4)*sin(delta3 - delta4 - Teta(3,4)) Jakobi_28 = V3*Y(3,5)*sin(delta3 - delta5 - Teta(3,5))

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Jakobi_31 = V4*V2*Y(4,2)*sin(delta4 - delta2 - Teta(4,2)) Jakobi_32 = V4*V3*Y(4,3)*sin(delta4 - delta3 - Teta(4,3)) Jakobi_33 = -V4*V1*Y(4,1)*sin(delta4 - delta1 - Teta(4,1)) V4*V2*Y(4,2 V4*V2*Y(4,2)*sin(delta )*sin(delta4 4 V4*V3*Y(4,3)*sin(delta V4*V3*Y(4,3 )*sin(delta4 4 - delta2 delta3 - Teta(4,2)) Teta(4,3)) V4*V5*Y(4,5)*sin(delta V4*V5*Y(4,5 )*sin(delta4 4 - delta5 - Teta(4,5)) Jakobi_34 = V4*V5*Y(4,5)*sin(delta4 - delta5 - Teta(4,5)) Jakobi_35 = V4*Y(4,2)*cos(delta4 - delta2 - Teta(4,2)) Jakobi_36 = V4*Y(4,3)*cos(delta4 - delta3 - Teta(4,3)) Jakobi_37 = V4*Y(4,4)*cos(Teta(4,4)) + V1*Y(4,1)*cos(delta4 - delta1 - Teta(4,1)) + V2*Y(4,2)*cos(delta4 - delta2 - Teta(4,2)) + V3*Y(4,3)*cos(delta4 - delta3 - Teta(4,3)) + V4*Y(4,4)*cos(delta4 delta4 - Teta(4,4)) + V5*Y(4,5)*cos(delta4 - delta5 - Teta(4,5)) Jakobi_38 = V4*Y(4,5)*cos(delta4 - delta5 - Teta(4,5))

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Jakobi_41 = V5*V2*Y(5,2)*sin(delta5 - delta2 - Teta(5,2)) Jakobi_42 = V5*V3*Y(5,3)*sin(delta5 - delta3 - Teta(5,3)) Jakobi_43 = V5*V4*Y(5,4)*sin(delta5 - delta4 - Teta(5,4)) Jakobi_44 =)*sin(delta5 -V5*V1*Y(5,1)*sin(delta5 - delta1 V5*V2*Y(5,2)*sin(delta V5*V2*Y(5,2 5 - delta2 - Teta(5,2)) - Teta(5,1)) V5*V3*Y(5,3)*sin(delta V5*V3*Y(5,3 )*sin(delta5 5 - delta3 - Teta(5,3)) V5*V4*Y(5,4)*sin(delta V5*V4*Y(5,4 )*sin(delta5 5 - delta4 - Teta(5,4)) Jakobi_45 = V5*Y(5,2)*cos(delta5 - delta2 - Teta(5,2)) Jakobi_46 = V5*Y(5,3)*cos(delta5 - delta3 - Teta(5,3)) Jakobi_47 = V5*Y(5,4)*cos(delta5 - delta4 - Teta(5,4)) Jakobi_48 = V5*Y(5,5)*cos(Teta(5,5)) + V1*Y(5,1)*cos(delta5 - delta1 - Teta(5,1)) + V2*Y(5,2)*cos(delta5 - delta2 - Teta(5,2)) + V3*Y(5,3)*cos(delta5 - delta3 - Teta(5,3)) + V4*Y(5,4)*cos(delta5 delta4 - Teta(5,4)) + V5*Y(5,5)*cos(delta5 - delta5 - Teta(5,5))

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Jakobi_51 = V2*V1*Y(2,1)*cos(delta2 - delta1 - Teta(2,1)) + V2*V3*Y(2,3)*cos(delta V2*V3*Y(2,3 )*cos(delta2 2 - delta3 - Teta(2,3)) + V2*V4*Y(2,4)*cos(delta V2*V4*Y(2,4 )*cos(delta2 2 - delta4 - Teta(2,4))+ V2*V5*Y(2,5)*cos(delta V2*V5*Y(2,5 )*cos(delta2 2 - delta5 - Teta(2,5)) Jakobi_52 = -V2*V3*Y(2,3)*cos(delta2 - delta3 - Teta(2,3)) Jakobi_53 = -V2*V4*Y(2,4)*cos(delta2 - delta4 - Teta(2,4)) Jakobi_54 = -V2*V5*Y(2,5)*cos(delta2 - delta5 - Teta(2,5)) Jakobi_55 = -V2*Y(2,2)*sin(Teta(2,2)) + V1*Y(2,1)*sin(delta2 - delta1 - Teta(2,1)) + V2*Y(2,2)*sin(delta2 - delta2 - Teta(2,2)) + V3*Y(2,3)*sin(delta2 - delta3 - Teta(2,3)) + V4*Y(2,4)*sin(delta2 delta4 - Teta(2,4)) + V5*Y(2,5)*sin(delta2 - delta5 - Teta(2,5)) Jakobi_56 = V2*Y(2,3)*sin(delta2 - delta3 - Teta(2,3)) Jakobi_57 = V2*Y(2,4)*sin(delta2 - delta4 - Teta(2,4)) Jakobi_58 = V2*Y(2,5)*sin(delta2 - delta5 - Teta(2,5))

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Jakobi_61 = V3*V2*Y(3,2)*cos(Teta(3,2) - delta3 + delta2) Jakobi_62 = V3*V1*Y(3,1)*cos(delta3 - delta1 - Teta(3,1)) + V3*V2*Y(2,3)*cos(delta V3*V2*Y(2,3 )*cos(delta3 3 - delta2 - Teta(3,2)) +

 

       

   

V3*V4*Y(3,4)*cos(delta3 V3*V4*Y(3,4)*cos(delta 3 - delta4 - Teta(3,4)) + V3*V5*Y(3,5)*cos(delta V3*V5*Y(3,5 )*cos(delta3 3 - delta5 - Teta(3,5)) Jakobi_63 = V3*V4*Y(3,4)*cos(Teta(3,4) - delta3 + delta4) Jakobi_64 = V3*V5*Y(3,5)*cos(Teta(3,5) - delta3 + delta5) Jakobi_65 = V3*Y(3,2)*sin(delta3 - delta2 - Teta(3,2)) Jakobi_66 = -V3*Y(3,3)*sin(Teta(3,3)) + V1*Y(3,1)*sin(delta3 - delta1 - Teta(3,1)) + V2*Y(3,2)*sin(delta3 - delta2 - Teta(3,2)) + V3*Y(3,3)*sin(delta3 - delta3 - Teta(3,3)) + V4*Y(3,4)*sin(delta3 delta4 - Teta(3,4)) + V5*Y(3,5)*sin(delta3 - delta5 - Teta(3,5)) Jakobi_67 = V3*Y(3,4)*sin(delta3 - delta4 - Teta(3,4)) Jakobi_68 = V3*Y(3,5)*sin(delta3 - delta5 - Teta(3,5))

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Jakobi_71 = V4*V2*Y(4,2)*cos(Teta(4,2) - delta4 + delta2) Jakobi_72 = V4*V3*Y(4,3)*cos(Teta(4,3) - delta4 + delta3) Jakobi_73 = V4*V1*Y(4,1)*cos(delta4 - delta1-Teta(4,1)) + V4*V2*Y(4,2)*cos(delta V4*V2*Y(4,2 )*cos(delta4 4 - delta2 - Teta(4,2)) + V4*V3*Y(4,3)*cos(delta V4*V3*Y(4,3 )*cos(delta4 4 - delta3 - Teta(4,3)) + V4*V5*Y(4,5)*cos(delta4 - delta5-Teta(4,5)) Jakobi_74 = V4*V5*Y(4,5)*cos(Teta(4,5) - delta4 + delta5) Jakobi_75 = V4*Y(4,2)*sin(delta4 - delta2 - Teta(4,2)) Jakobi_76 = V4*Y(4,3)*sin(delta4 - delta3 - Teta(4,3)) Jakobi_77 = -V4*Y(4,4)*sin(Teta(4,4)) + V1*Y(4,1)*sin(delta4 - delta1 - Teta(4,1)) + V2*Y(4,2)*sin(delta4 - delta2 - Teta(4,2)) + V3*Y(4,3)*sin(delta4 - delta3 - Teta(4,3)) + V4*Y(4,4)*sin(delta4 delta4 - Teta(4,4)) + V5*Y(4,5)*sin(delta4 - delta5 - Teta(4,5)) Jakobi_78 = V4*Y(4,5)*sin(delta4 - delta5 - Teta(4,5))

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Jakobi_81 = V5*V2*Y(5,2)*cos(Teta(5,2) - delta5 + delta2) Jakobi_82 = V5*V3*Y(5,3)*cos(Teta(5,3) - delta5 + delta3) Jakobi_83 = V5*V4*Y(5,4)*cos(Teta(5,4) - delta5 + delta4) Jakobi_84 = V5*V1*Y(5,1)*cos(delta5 - delta1 - Teta(5,1)) + V5*V2*Y(5,2)*cos(delta V5*V2*Y(5,2 )*cos(delta5 5 - delta2 - Teta(5,2)) + V5*V3*Y(5,3)*cos(delta V5*V3*Y(5,3 )*cos(delta5 5 - delta3 - Teta(5,3)) + V5*V4*Y(5,4)*cos(delta V5*V4*Y(5,4 )*cos(delta5 5 - delta4 - Teta(5,4)) Jakobi_85 = V5*Y(5,2)*sin(delta5 - delta2 - Teta(5,2)) Jakobi_86 = V5*Y(5,3)*sin(delta5 - delta3 - Teta(5,3)) Jakobi_87 = V5*Y(5,4)*sin(delta5 - delta4 - Teta(5,4)) Jakobi_88 = -V5*Y(5,5)*sin(Teta(5,5)) + V1*Y(5,1)*sin(delta5 - delta1 - Teta(5,1)) + V2*Y(5,2)*sin(delta5 - delta2 - Teta(5,2)) + V3*Y(5,3)*sin(delta5 - delta3 - Teta(5,3)) + V4*Y(5,4)*sin(delta5 delta4 - Teta(5,4)) + V5*Y(5,5)*sin(delta5 - delta5 - Teta(5,5))

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Jakobian = [Jakobi_11 Jakobi_12 Jakobi_13 Jakobi_14 Jakobi_15 Jakobi_16 Jakobi_17 Jakobi_18;Jakobi_21 Jakobi_22 Jakobi_23 Jakobi_24 Jakobi_25 Jakobi_26 Jakobi_27 Jakobi_28;Jakobi_31 Jakobi_32 Jakobi_33 Jakobi_34 Jakobi_35 Jakobi_36 Jakobi_37 Jakobi_38;Jakobi_41 Jakobi_42 Jakobi_43 Jakobi_44 Jakobi_45 Jakobi_46 Jakobi_47 Jakobi_48;Jakobi_51 Jakobi_52 Jakobi_53 Jakobi_54 Jakobi_55 Jakobi_56 Jakobi_57 Jakobi_58;Jakobi_61 Jakobi_62 Jakobi_63 Jakobi_64 Jakobi_65 Jakobi_66 Jakobi_67 Jakobi_68;Jakobi_71 Jakobi_72 Jakobi_73 Jakobi_74 Jakobi_75 Jakobi_76 Jakobi_77 Jakobi_78;Jakobi_81 Jakobi_82 Jakobi_83 Jakobi_84 Jakobi_85 Jakobi_86 Jakobi_87 Jakobi_88 ]

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% Nilai-nilai koreksi untuk estimasi solusi:

 

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Inverse_Jakobian = inv(Jakobian) Nilai_Koreksi_Vektor_Tegangan = Inverse_Jakobian*Vektor_Power_Mismatch

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% Nilai estimasi Iterasi ke-2 disp ('Iterasi ('Iterasi 2') 2')

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Vektor_Tegangan_Baru = Vektor_Tegangan_Awal + Nilai_Koreksi_Vektor_Tegangan

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delta2 = Vektor_Tegangan_Baru(1,1) delta3 = Vektor_Tegangan_Baru(2,1) delta4 = Vektor_Tegangan_Baru(3,1) delta5 = Vektor_Tegangan_Baru(4,1) V2 = Vektor_Tegangan_Baru(5,1) V3 = Vektor_Tegangan_Baru(6,1) V4 = Vektor_Tegangan_Baru(7,1) V5 = Vektor_Tegangan_Baru(8,1)

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disp ('Perhitungan ('Perhitungan Power Mismatch dengan estimasi awal') awal') P2h = (V2*Y(2,1)*(V1)*cos(delta2-delta1-Teta(2,1))) + (V2*Y(2,2)*(V2)*cos(delta2-delta2-Teta(2,2))) + (V2*Y(2,3)*(V3)*cos(delta2-delta3-Teta(2,3))) + (V2*Y(2,4)*(V4)*cos(delta2-delta4-Teta(2,4))) + (V2*Y(2,5)*(V5)*cos(delta2-delta5-Teta(2,5)))

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P3h = (V3*Y(3,1)*V1*cos(delta3-delta1-Teta(3,1))) + (V3*Y(3,2)*V2*cos(delta3-delta2-Teta(3,2))) + (V3*Y(3,3)*V3*cos(delta3-delta3-Teta(3,3))) + (V3*Y(3,4)*(V4)*cos(delta3-delta4-Teta(3,4))) + (V3*Y(3,5)*(V5)*cos(delta3-delta5-Teta(3,5)))

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P4h = (V4*Y(4,1)*V1*cos(delta4-delta1-Teta(4,1))) + (V4*Y(4,2)*V2*cos(delta4-delta2-Teta(4,2))) + (V4*Y(4,3)*V3*cos(delta4-delta3-Teta(4,3))) + (V4*Y(4,4)*(V4)*cos(delta4-delta4-Teta(4,4))) + (V4*Y(4,5)*(V5)*cos(delta4-delta5-Teta(4,5)))

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P5h = (V5*Y(5,1)*V1*cos(delta5-delta1-Teta(5,1))) + (V5*Y(5,2)*V2*cos(delta5-delta2-Teta(5,2))) + (V5*Y(5,3)*V3*cos(delta5-delta3-Teta(5,3))) + (V5*Y(5,4)*(V4)*cos(delta5-delta4-Teta(5,4))) + (V5*Y(5,5)*(V5)*cos(delta5-delta5-Teta(5,5)))

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Q2h = (V2*Y(2,1)*V1*sin(delta2-delta1-Teta(2,1))) + (V2*Y(2,2)*V2*sin(delta2-delta2-Teta(2,2))) + (V2*Y(2,3)*V3*sin(delta2-delta3-Teta(2,3))) + (V2*Y(2,4)*V4*sin(delta2-delta4-Teta(2,4))) + (V2*Y(2,5)*V5*sin(delta2-delta5-Teta(2,5)))

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Q3h = (V3*Y(3,1)*V1*sin(delta3-delta1-Teta(3,1))) + (V3*Y(3,2)*V2*sin(delta3-delta2-Teta(3,2))) + (V3*Y(3,3)*V3*sin(delta3-delta3-Teta(3,3))) +

 

(V3*Y(3,4)*V4*sin(delta3-delta4-Teta(3,4))) + (V3*Y(3,5)*V5*sin(delta3-delta5-Teta(3,5)))   

Q4h = (V4*Y(4,1)*V1*sin(delta4-delta1-Teta(4,1))) + (V4*Y(4,2)*V2*sin(delta4-delta2-Teta(4,2))) + (V4*Y(4,3)*V3*sin(delta4-delta3-Teta(4,3))) + (V4*Y(4,4)*V4*sin(delta4-delta4-Teta(4,4))) + (V4*Y(4,5)*V5*sin(delta4-delta5-Teta(4,5)))

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Q5h = (V5*Y(5,1)*V1*sin(delta5-delta1-Teta(5,1))) + (V5*Y(5,2)*V2*sin(delta5-delta2-Teta(5,2))) + (V5*Y(5,3)*V3*sin(delta5-delta3-Teta(5,3))) + (V5*Y(5,4)*V4*sin(delta5-delta4-Teta(5,4))) + (V5*Y(2,5)*V5*sin(delta5-delta5-Teta(5,5)))

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disp ('Menghitung ('Menghitung Perbedaan Daya') Daya') P2d = (Pd2/100) P3d = -(Pd3/100) P4d = -(Pd4/100) P5d = -(Pd5/100) Q2d = (Qd2/100) Q3d = -(Qd3/100) Q4d = -(Qd4/100)

 

Q5d = -(Qd5/100)

           

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disp ('Maka ('Maka perbedaan daya diperoleh') diperoleh') P2=P2d-P2h P3=P3d-P3h P4=P4d-P4h P5=P5d-P5h Q2=Q2d-Q2h Q3=Q3d-Q3h Q4=Q4d-Q4h Q5=Q5d-Q5h

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Vektor_Power_Mismatch = [P2;P3;P4;P5;Q2;Q3;Q4;Q5]

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%Sehingga Matrik Jakobian Menjadi : Jakobi_11 = V1*V2*Y(2,1)*sin(Teta(2,1) + delta1 - delta2) + V2*V3*Y(2,3)*sin(Teta(2,3) - delta2 + delta3) + V2*V4*Y(2,4)*sin(Teta(2,4) - delta2 + delta4) + V2*V5*Y(2,5)*sin(Teta(2,5) - delta2 + delta5) Jakobi_12 = V2*V3*Y(2,3)*sin(delta2 - delta3 - Teta(2,3)) Jakobi_13 = V2*V4*Y(2,4)*sin(delta2 - delta4 - Teta(2,4)) Jakobi_14 = V2*V5*Y(2,5)*sin(delta2 - delta5 - Teta(2,5)) Jakobi_15 = V2*Y(2,2)*cos(Teta(2,2)) + V1*Y(2,1)*cos(delta2 - delta1 - Teta(2,1)) + V2*Y(2,2)*cos(delta2 - delta2 - Teta(2,2)) + V3*Y(2,3)*cos(delta2 - delta3 - Teta(2,3)) + V4*Y(2,4)*cos(delta2 delta4 - Teta(2,4)) + V5*Y(2,5)*cos(delta2 - delta5 - Teta(2,5)) Jakobi_16 = V2*Y(2,3)*cos(delta2 - delta3 - Teta(2,3)) Jakobi_17 = V2*Y(2,4)*cos(delta2 - delta4 - Teta(2,4)) Jakobi_18 = V2*Y(2,5)*cos(delta2 - delta5 - Teta(2,5))

 

   

       

   

Jakobi_21 = -V2*V3*Y(3,2)*sin(Teta(3,2) + delta2 - delta3) Jakobi_22 = V1*V3*Y(3,1)*sin(Teta(3,1) + delta1 - delta3) + V2*V3*Y(3,2)*sin(Teta(3,2) + delta2 - delta3) + V3*V4*Y(3,4)*sin(Teta(3,4) + delta4 - delta3) + V3*V5*Y(3,5)*sin(Teta(3,5) + delta5 - delta3) Jakobi_23 = V3*V4*Y(3,4)*sin(delta3 - delta4 - Teta(3,4)) Jakobi_24 = V3*V5*Y(3,5)*sin(delta3 - delta5 - Teta(3,5)) Jakobi_25 = V3*Y(3,2)*cos(delta3 - delta2 - Teta(3,2)) Jakobi_26 = V3*Y(3,3)*cos(Teta(3,3)) + V1*Y(3,1)*cos(delta3 - delta1 - Teta(3,1)) + V2*Y(3,2)*cos(delta3 - delta2 - Teta(3,2)) + V3*Y(3,3)*cos(delta3 - delta3 - Teta(3,3)) + V4*Y(3,4)*cos(delta3 delta4 - Teta(3,4)) + V5*Y(3,5)*cos(delta3 - delta5 - Teta(3,5)) Jakobi_27 = V3*Y(3,4)*sin(delta3 - delta4 - Teta(3,4)) Jakobi_28 = V3*Y(3,5)*sin(delta3 - delta5 - Teta(3,5))

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Jakobi_31 = V4*V2*Y(4,2)*sin(delta4 - delta2 - Teta(4,2)) Jakobi_32 = V4*V3*Y(4,3)*sin(delta4 - delta3 - Teta(4,3)) Jakobi_33 = -V4*V1*Y(4,1)*sin(delta4 - delta1 - Teta(4,1)) V4*V2*Y(4,2)*sin(delta V4*V2*Y(4,2 )*sin(delta4 4 - delta2 - Teta(4,2)) V4*V3*Y(4,3)*sin(delta V4*V3*Y(4,3 )*sin(delta4 4 - delta3 - Teta(4,3)) V4*V5*Y(4,5)*sin(delta V4*V5*Y(4,5 )*sin(delta4 4 - delta5 - Teta(4,5)) Jakobi_34 = V4*V5*Y(4,5)*sin(delta4 - delta5 - Teta(4,5)) Jakobi_35 = V4*Y(4,2)*cos(delta4 - delta2 - Teta(4,2)) Jakobi_36 = V4*Y(4,3)*cos(delta4 - delta3 - Teta(4,3)) Jakobi_37 = V4*Y(4,4)*cos(Teta(4,4)) + V1*Y(4,1)*cos(delta4 - delta1 - Teta(4,1)) + V2*Y(4,2)*cos(delta4 - delta2 - Teta(4,2)) + V3*Y(4,3)*cos(delta4 - delta3 - Teta(4,3)) + V4*Y(4,4)*cos(delta4 delta4 - Teta(4,4)) + V5*Y(4,5)*cos(delta4 - delta5 - Teta(4,5)) Jakobi_38 = V4*Y(4,5)*cos(delta4 - delta5 - Teta(4,5))

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Jakobi_41 = V5*V2*Y(5,2)*sin(delta5 - delta2 - Teta(5,2)) Jakobi_42 = V5*V3*Y(5,3)*sin(delta5 - delta3 - Teta(5,3)) Jakobi_43 = V5*V4*Y(5,4)*sin(delta5 - delta4 - Teta(5,4)) Jakobi_44 = -V5*V1*Y(5,1)*sin(delta5 - delta1 - Teta(5,1)) V5*V2*Y(5,2)*sin(delta V5*V2*Y(5,2 )*sin(delta5 5 - delta2 - Teta(5,2)) V5*V3*Y(5,3)*sin(delta V5*V3*Y(5,3 )*sin(delta5 5 - delta3 - Teta(5,3)) V5*V4*Y(5,4)*sin(delta V5*V4*Y(5,4 )*sin(delta5 5 - delta4 - Teta(5,4)) Jakobi_45 = V5*Y(5,2)*cos(delta5 - delta2 - Teta(5,2)) Jakobi_46 = V5*Y(5,3)*cos(delta5 - delta3 - Teta(5,3)) Jakobi_47 = V5*Y(5,4)*cos(delta5 - delta4 - Teta(5,4)) Jakobi_48 = V5*Y(5,5)*cos(Teta(5,5)) + V1*Y(5,1)*cos(delta5 - delta1 - Teta(5,1)) + V2*Y(5,2)*cos(delta5 - delta2 - Teta(5,2)) + V3*Y(5,3)*cos(delta5 - delta3 - Teta(5,3)) + V4*Y(5,4)*cos(delta5 delta4 - Teta(5,4)) + V5*Y(5,5)*cos(delta5 - delta5 - Teta(5,5))

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Jakobi_51 = V2*V1*Y(2,1)*cos(delta2 - delta1 - Teta(2,1)) + V2*V3*Y(2,3)*cos(delta V2*V3*Y(2,3 )*cos(delta2 2 - delta3 - Teta(2,3)) + V2*V4*Y(2,4)*cos(delta V2*V4*Y(2,4 )*cos(delta2 2 - delta4 - Teta(2,4))+ V2*V5*Y(2,5)*cos(delta V2*V5*Y(2,5 )*cos(delta2 2 - delta5 - Teta(2,5)) Jakobi_52 = -V2*V3*Y(2,3)*cos(delta2 - delta3 - Teta(2,3)) Jakobi_53 = -V2*V4*Y(2,4)*cos(delta2 - delta4 - Teta(2,4)) Jakobi_54 = -V2*V5*Y(2,5)*cos(delta2 - delta5 - Teta(2,5)) Jakobi_55 = -V2*Y(2,2)*sin(Teta(2,2)) + V1*Y(2,1)*sin(delta2 - delta1 - Teta(2,1)) + V2*Y(2,2)*sin(delta2 - delta2 - Teta(2,2)) +

 

     

V3*Y(2,3)*sin(delta2 - delta3 - Teta(2,3)) + V4*Y(2,4)*sin(delta2 delta4 - Teta(2,4)) + V5*Y(2,5)*sin(delta2 - delta5 - Teta(2,5)) Jakobi_56 = V2*Y(2,3)*sin(delta2 - delta3 - Teta(2,3)) Jakobi_57 = V2*Y(2,4)*sin(delta2 - delta4 - Teta(2,4)) Jakobi_58 = V2*Y(2,5)*sin(delta2 - delta5 - Teta(2,5))

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Jakobi_61 = V3*V2*Y(3,2)*cos(Teta(3,2) - delta3 + delta2) Jakobi_62 = V3*V1*Y(3,1)*cos(delta3 - delta1 - Teta(3,1)) + V3*V2*Y(2,3)*cos(delta3 V3*V2*Y(2,3)*cos(delta 3 - delta2 - Teta(3,2)) + V3*V4*Y(3,4)*cos(delta V3*V4*Y(3,4 )*cos(delta3 3 - delta4 - Teta(3,4)) + V3*V5*Y(3,5)*cos(delta V3*V5*Y(3,5 )*cos(delta3 3 - delta5 - Teta(3,5)) Jakobi_63 = V3*V4*Y(3,4)*cos(Teta(3,4) - delta3 + delta4) Jakobi_64 = V3*V5*Y(3,5)*cos(Teta(3,5) - delta3 + delta5) Jakobi_65 = V3*Y(3,2)*sin(delta3 - delta2 - Teta(3,2)) Jakobi_66 = -V3*Y(3,3)*sin(Teta(3,3)) + V1*Y(3,1)*sin(delta3 - delta1 - Teta(3,1)) + V2*Y(3,2)*sin(delta3 - delta2 - Teta(3,2)) + V3*Y(3,3)*sin(delta3 - delta3 - Teta(3,3)) + V4*Y(3,4)*sin(delta3 delta4 - Teta(3,4)) + V5*Y(3,5)*sin(delta3 - delta5 - Teta(3,5)) Jakobi_67 = V3*Y(3,4)*sin(delta3 - delta4 - Teta(3,4)) Jakobi_68 = V3*Y(3,5)*sin(delta3 - delta5 - Teta(3,5))

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Jakobi_71 = V4*V2*Y(4,2)*cos(Teta(4,2) - delta4 + delta2) Jakobi_72 = V4*V3*Y(4,3)*cos(Teta(4,3) - delta4 + delta3) Jakobi_73 = V4*V1*Y(4,1)*cos(delta4 - delta1-Teta(4,1)) + V4*V2*Y(4,2)*cos(delta V4*V2*Y(4,2 )*cos(delta4 4 - delta2 - Teta(4,2)) + V4*V3*Y(4,3)*cos(delta V4*V3*Y(4,3 )*cos(delta4 4 - delta3 - Teta(4,3)) + V4*V5*Y(4,5)*cos(delta4 - delta5-Teta(4,5)) Jakobi_74 = V4*V5*Y(4,5)*cos(Teta(4,5) - delta4 + delta5) Jakobi_75 = V4*Y(4,2)*sin(delta4 - delta2 - Teta(4,2)) Jakobi_76 = V4*Y(4,3)*sin(delta4 - delta3 - Teta(4,3)) Jakobi_77 = -V4*Y(4,4)*sin(Teta(4,4)) + V1*Y(4,1)*sin(delta4 - delta1 - Teta(4,1)) + V2*Y(4,2)*sin(delta4 - delta2 - Teta(4,2)) + V3*Y(4,3)*sin(delta4 - delta3 - Teta(4,3)) + V4*Y(4,4)*sin(delta4 delta4 - Teta(4,4)) + V5*Y(4,5)*sin(delta4 - delta5 - Teta(4,5)) Jakobi_78 = V4*Y(4,5)*sin(delta4 - delta5 - Teta(4,5))

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Jakobi_81 = V5*V2*Y(5,2)*cos(Teta(5,2) - delta5 + delta2) Jakobi_82 = V5*V3*Y(5,3)*cos(Teta(5,3) - delta5 + delta3) Jakobi_83 = V5*V4*Y(5,4)*cos(Teta(5,4) - delta5 + delta4) Jakobi_84 = V5*V1*Y(5,1)*cos(delta5 - delta1 - Teta(5,1)) + V5*V2*Y(5,2)*cos(delta V5*V2*Y(5,2 )*cos(delta5 5 - delta2 - Teta(5,2)) + V5*V3*Y(5,3)*cos(delta V5*V3*Y(5,3 )*cos(delta5 5 - delta3 - Teta(5,3)) + V5*V4*Y(5,4)*cos(delta V5*V4*Y(5,4 )*cos(delta5 5 - delta4 - Teta(5,4)) Jakobi_85 = V5*Y(5,2)*sin(delta5 - delta2 - Teta(5,2)) Jakobi_86 = V5*Y(5,3)*sin(delta5 - delta3 - Teta(5,3)) Jakobi_87 = V5*Y(5,4)*sin(delta5 - delta4 - Teta(5,4)) Jakobi_88 = -V5*Y(5,5)*sin(Teta(5,5)) + V1*Y(5,1)*sin(delta5 - delta1 - Teta(5,1)) + V2*Y(5,2)*sin(delta5 - delta2 - Teta(5,2)) + V3*Y(5,3)*sin(delta5 - delta3 - Teta(5,3)) + V4*Y(5,4)*sin(delta5 delta4 - Teta(5,4)) + V5*Y(5,5)*sin(delta5 - delta5 - Teta(5,5))

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Jakobian = [Jakobi_11 Jakobi_12 Jakobi_13 Jakobi_14 Jakobi_15 Jakobi_16 Jakobi_17 Jakobi_27 Jakobi_18;Jakobi_21 Jakobi_22 Jakobi_32 Jakobi_23 Jakobi_33 Jakobi_24 Jakobi_25 Jakobi_26 Jakobi_28;Jakobi_31

 

Jakobi_34 Jakobi_35 Jakobi_36 Jakobi_37 Jakobi_43 Jakobi_44 Jakobi_45 Jakobi_46 Jakobi_52 Jakobi_53 Jakobi_54 Jakobi_55 Jakobi_58;Jakobi_61 Jakobi_62 Jakobi_63 Jakobi_67 Jakobi_68;Jakobi_71 Jakobi_72 Jakobi_76 Jakobi_77 Jakobi_78;Jakobi_81 Jakobi_85 Jakobi_86 Jakobi_87 Jakobi_88

Jakobi_38;Jakobi_41 Jakobi_42 Jakobi_47 Jakobi_48;Jakobi_51 Jakobi_56 Jakobi_57 Jakobi_64 Jakobi_65 Jakobi_66 Jakobi_73 Jakobi_74 Jakobi_75 Jakobi_82 Jakobi_83 Jakobi_84 ]

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% Nilai-nilai koreksi untuk estimasi solusi:

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Inverse_Jakobian = inv(Jakobian) Nilai_Koreksi_Vektor_Tegangan = Inverse_Jakobian*Vektor_Power_Mismatch

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% Nilai estimasi Iterasi ke-3 disp ('Iterasi ('Iterasi 3') 3')

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Vektor_Tegangan_Baru = Vektor_Tegangan_Awal + Nilai_Koreksi_Vektor_Tegangan

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delta2 = Vektor_Tegangan_Baru(1,1) delta3 = Vektor_Tegangan_Baru(2,1) delta4 = Vektor_Tegangan_Baru(3,1) delta5 = Vektor_Tegangan_Baru(4,1) V2 = Vektor_Tegangan_Baru(5,1) V3 = Vektor_Tegangan_Baru(6,1) V4 = Vektor_Tegangan_Baru(7,1) V5 = Vektor_Tegangan_Baru(8,1)

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disp ('Perhitungan ('Perhitungan Power Mismatch dengan estimasi awal') awal') P2h = (V2*Y(2,1)*(V1)*cos(delta2-delta1-Teta(2,1))) + (V2*Y(2,2)*(V2)*cos(delta2-delta2-Teta(2,2))) + (V2*Y(2,3)*(V3)*cos(delta2-delta3-Teta(2,3))) + (V2*Y(2,4)*(V4)*cos(delta2-delta4-Teta(2,4))) + (V2*Y(2,5)*(V5)*cos(delta2-delta5-Teta(2,5)))

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P3h = (V3*Y(3,1)*V1*cos(delta3-delta1-Teta(3,1))) + (V3*Y(3,2)*V2*cos(delta3-delta2-Teta(3,2))) + (V3*Y(3,3)*V3*cos(delta3-delta3-Teta(3,3))) + (V3*Y(3,4)*(V4)*cos(delta3-delta4-Teta(3,4))) + (V3*Y(3,5)*(V5)*cos(delta3-delta5-Teta(3,5)))

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P4h = (V4*Y(4,1)*V1*cos(delta4-delta1-Teta(4,1))) + (V4*Y(4,2)*V2*cos(delta4-delta2-Teta(4,2))) + (V4*Y(4,3)*V3*cos(delta4-delta3-Teta(4,3))) + (V4*Y(4,4)*(V4)*cos(delta4-delta4-Teta(4,4))) + (V4*Y(4,5)*(V5)*cos(delta4-delta5-Teta(4,5)))

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P5h = (V5*Y(5,1)*V1*cos(delta5-delta1-Teta(5,1))) + (V5*Y(5,2)*V2*cos(delta5-delta2-Teta(5,2))) + (V5*Y(5,3)*V3*cos(delta5-delta3-Teta(5,3))) + (V5*Y(5,4)*(V4)*cos(delta5-delta4-Teta(5,4))) + (V5*Y(5,5)*(V5)*cos(delta5-delta5-Teta(5,5)))

 

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Q2h = (V2*Y(2,1)*V1*sin(delta2-delta1-Teta(2,1))) + (V2*Y(2,2)*V2*sin(delta2-delta2-Teta(2,2))) + (V2*Y(2,3)*V3*sin(delta2-delta3-Teta(2,3))) + (V2*Y(2,4)*V4*sin(delta2-delta4-Teta(2,4))) + (V2*Y(2,5)*V5*sin(delta2-delta5-Teta(2,5)))

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Q3h = (V3*Y(3,1)*V1*sin(delta3-delta1-Teta(3,1))) + (V3*Y(3,2)*V2*sin(delta3-delta2-Teta(3,2))) + (V3*Y(3,3)*V3*sin(delta3-delta3-Teta(3,3))) + (V3*Y(3,4)*V4*sin(delta3-delta4-Teta(3,4))) + (V3*Y(3,5)*V5*sin(delta3-delta5-Teta(3,5)))

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Q4h = (V4*Y(4,1)*V1*sin(delta4-delta1-Teta(4,1))) + (V4*Y(4,2)*V2*sin(delta4-delta2-Teta(4,2))) + (V4*Y(4,3)*V3*sin(delta4-delta3-Teta(4,3))) + (V4*Y(4,4)*V4*sin(delta4-delta4-Teta(4,4))) + (V4*Y(4,5)*V5*sin(delta4-delta5-Teta(4,5)))

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Q5h = (V5*Y(5,1)*V1*sin(delta5-delta1-Teta(5,1))) + (V5*Y(5,2)*V2*sin(delta5-delta2-Teta(5,2))) + (V5*Y(5,3)*V3*sin(delta5-delta3-Teta(5,3))) + (V5*Y(5,4)*V4*sin(delta5-delta4-Teta(5,4))) + (V5*Y(2,5)*V5*sin(delta5-delta5-Teta(5,5))) disp ('Menghitung ('Menghitung Perbedaan Daya') Daya') P2d = (Pd2/100) P3d = -(Pd3/100) P4d = -(Pd4/100) P5d = -(Pd5/100) Q2d = (Qd2/100) Q3d = -(Qd3/100) Q4d = -(Qd4/100) Q5d = -(Qd5/100)

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disp ('Maka ('Maka perbedaan daya diperoleh') diperoleh') P2=P2d-P2h P3=P3d-P3h P4=P4d-P4h P5=P5d-P5h Q2=Q2d-Q2h Q3=Q3d-Q3h Q4=Q4d-Q4h Q5=Q5d-Q5h

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Vektor_Power_Mismatch = [P2;P3;P4;P5;Q2;Q3;Q4;Q5]

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%Sehingga Matrik Jakobian Menjadi : Jakobi_11 = V1*V2*Y(2,1)*sin(Teta(2,1) + delta1 - delta2) + V2*V3*Y(2,3)*sin(Teta(2,3) - delta2 + delta3) + V2*V4*Y(2,4)*sin(Teta(2,4) - delta2 + delta4) + V2*V5*Y(2,5)*sin(Teta(2,5) - delta2 + delta5) Jakobi_12 = V2*V3*Y(2,3)*sin(delta2 - delta3 - Teta(2,3))

 

 

 

Jakobi_13 = V2*V4*Y(2,4)*sin(delta2 - delta4 - Teta(2,4)) Jakobi_14 = V2*V5*Y(2,5)*sin(delta2 - delta5 - Teta(2,5)) Jakobi_15 = V2*Y(2,2)*cos(Teta(2,2)) + V1*Y(2,1)*cos(delta2 - delta1 - Teta(2,1)) + V2*Y(2,2)*cos(delta2 - delta2 - Teta(2,2)) + V3*Y(2,3)*cos(delta2 - delta3 - Teta(2,3)) + V4*Y(2,4)*cos(delta2 delta4 - Teta(2,4)) + V5*Y(2,5)*cos(delta2 - delta5 - Teta(2,5)) Jakobi_16 = V2*Y(2,3)*cos(delta2 - delta3 - Teta(2,3)) Jakobi_17 = V2*Y(2,4)*cos(delta2 - delta4 - Teta(2,4))

 

Jakobi_18 = V2*Y(2,5)*cos(delta2 - delta5 - Teta(2,5))

 

 

Jakobi_21 = -V2*V3*Y(3,2)*sin(Teta(3,2) + delta2 - delta3) Jakobi_22 = V1*V3*Y(3,1)*sin(Teta(3,1) + delta1 - delta3) + V2*V3*Y(3,2)*sin(Teta(3,2) + delta2 - delta3) + V3*V4*Y(3,4)*sin(Teta(3,4) + delta4 - delta3) + V3*V5*Y(3,5)*sin(Teta(3,5) + delta5 - delta3) Jakobi_23 = V3*V4*Y(3,4)*sin(delta3 - delta4 - Teta(3,4)) Jakobi_24 = V3*V5*Y(3,5)*sin(delta3 - delta5 - Teta(3,5)) Jakobi_25 = V3*Y(3,2)*cos(delta3 - delta2 - Teta(3,2)) Jakobi_26 = V3*Y(3,3)*cos(Teta(3,3)) + V1*Y(3,1)*cos(delta3 - delta1 - Teta(3,1)) + V2*Y(3,2)*cos(delta3 - delta2 - Teta(3,2)) + V3*Y(3,3)*cos(delta3 - delta3 - Teta(3,3)) + V4*Y(3,4)*cos(delta3 delta4 - Teta(3,4)) + V5*Y(3,5)*cos(delta3 - delta5 - Teta(3,5)) Jakobi_27 = V3*Y(3,4)*sin(delta3 - delta4 - Teta(3,4))

 

Jakobi_28 = V3*Y(3,5)*sin(delta3 - delta5 - Teta(3,5))

 

Jakobi_31 = V4*V2*Y(4,2)*sin(delta4 - delta2 - Teta(4,2)) Jakobi_32 = V4*V3*Y(4,3)*sin(delta4 - delta3 - Teta(4,3)) Jakobi_33 = -V4*V1*Y(4,1)*sin(delta4 - delta1 - Teta(4,1)) V4*V2*Y(4,2)*sin(delta V4*V2*Y(4,2 )*sin(delta4 4 - delta2 - Teta(4,2)) V4*V3*Y(4,3)*sin(delta V4*V3*Y(4,3 )*sin(delta4 4 - delta3 - Teta(4,3)) V4*V5*Y(4,5)*sin(delta V4*V5*Y(4,5 )*sin(delta4 4 - delta5 - Teta(4,5)) Jakobi_34 = V4*V5*Y(4,5)*sin(delta4 - delta5 - Teta(4,5)) Jakobi_35 = V4*Y(4,2)*cos(delta4 - delta2 - Teta(4,2)) Jakobi_36 = V4*Y(4,3)*cos(delta4 - delta3 - Teta(4,3)) Jakobi_37 = V4*Y(4,4)*cos(Teta(4,4)) + V1*Y(4,1)*cos(delta4 - delta1 - Teta(4,1)) + V2*Y(4,2)*cos(delta4 - delta2 - Teta(4,2)) + V3*Y(4,3)*cos(delta4 - delta3 - Teta(4,3)) + V4*Y(4,4)*cos(delta4 delta4 - Teta(4,4)) + V5*Y(4,5)*cos(delta4 - delta5 - Teta(4,5))

   

 

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Jakobi_38 = V4*Y(4,5)*cos(delta4 - delta5 - Teta(4,5))

 

Jakobi_41 = V5*V2*Y(5,2)*sin(delta5 - delta2 - Teta(5,2)) Jakobi_42 = V5*V3*Y(5,3)*sin(delta5 - delta3 - Teta(5,3)) Jakobi_43 = V5*V4*Y(5,4)*sin(delta5 - delta4 - Teta(5,4)) Jakobi_44 = -V5*V1*Y(5,1)*sin(delta5 - delta1 - Teta(5,1)) V5*V2*Y(5,2)*sin(delta V5*V2*Y(5,2 )*sin(delta5 5 - delta2 - Teta(5,2)) V5*V3*Y(5,3)*sin(delta V5*V3*Y(5,3 )*sin(delta5 5 - delta3 - Teta(5,3)) V5*V4*Y(5,4)*sin(delta V5*V4*Y(5,4 )*sin(delta5 5 - delta4 - Teta(5,4)) Jakobi_45 = V5*Y(5,2)*cos(delta5 - delta2 - Teta(5,2)) Jakobi_46 = V5*Y(5,3)*cos(delta5 - delta3 - Teta(5,3)) Jakobi_47 = V5*Y(5,4)*cos(delta5 - delta4 - Teta(5,4)) Jakobi_48 = V5*Y(5,5)*cos(Teta(5,5)) + V1*Y(5,1)*cos(delta5 - delta1 - Teta(5,1)) + V2*Y(5,2)*cos(delta5 - delta2 - Teta(5,2)) + V3*Y(5,3)*cos(delta5 - delta3 - Teta(5,3)) + V4*Y(5,4)*cos(delta5 delta4 - Teta(5,4)) + V5*Y(5,5)*cos(delta5 - delta5 - Teta(5,5))

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Jakobi_51 = V2*V1*Y(2,1)*cos(delta2 - delta1 - Teta(2,1)) + V2*V3*Y(2,3)*cos(delta V2*V3*Y(2,3 )*cos(delta2 2 - delta3 - Teta(2,3)) + V2*V4*Y(2,4)*cos(delta V2*V4*Y(2,4 )*cos(delta2 2 - delta4 - Teta(2,4))+ V2*V5*Y(2,5)*cos(delta V2*V5*Y(2,5 )*cos(delta2 2 - delta5 - Teta(2,5)) Jakobi_52 = -V2*V3*Y(2,3)*cos(delta2 - delta3 - Teta(2,3)) Jakobi_53 = -V2*V4*Y(2,4)*cos(delta2 - delta4 - Teta(2,4)) Jakobi_54 = -V2*V5*Y(2,5)*cos(delta2 - delta5 - Teta(2,5)) Jakobi_55 = -V2*Y(2,2)*sin(Teta(2,2)) + V1*Y(2,1)*sin(delta2 - delta1 - Teta(2,1)) + V2*Y(2,2)*sin(delta2 - delta2 - Teta(2,2)) + V3*Y(2,3)*sin(delta2 - delta3 - Teta(2,3)) + V4*Y(2,4)*sin(delta2 delta4 - Teta(2,4)) + V5*Y(2,5)*sin(delta2 - delta5 - Teta(2,5)) Jakobi_56 = V2*Y(2,3)*sin(delta2 - delta3 - Teta(2,3)) Jakobi_57 = V2*Y(2,4)*sin(delta2 - delta4 - Teta(2,4)) Jakobi_58 = V2*Y(2,5)*sin(delta2 - delta5 - Teta(2,5))

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Jakobi_61 = V3*V2*Y(3,2)*cos(Teta(3,2) - delta3 + delta2) Jakobi_62 = V3*V1*Y(3,1)*cos(delta3 - delta1 - Teta(3,1)) + V3*V2*Y(2,3)*cos(delta V3*V2*Y(2,3 )*cos(delta3 3 - delta2 - Teta(3,2)) + V3*V4*Y(3,4)*cos(delta V3*V4*Y(3,4 )*cos(delta3 3 - delta4 - Teta(3,4)) + V3*V5*Y(3,5)*cos(delta V3*V5*Y(3,5 )*cos(delta3 3 - delta5 - Teta(3,5)) Jakobi_63 = V3*V4*Y(3,4)*cos(Teta(3,4) - delta3 + delta4) Jakobi_64 = V3*V5*Y(3,5)*cos(Teta(3,5) - delta3 + delta5) Jakobi_65 = V3*Y(3,2)*sin(delta3 - delta2 - Teta(3,2)) Jakobi_66 = -V3*Y(3,3)*sin(Teta(3,3)) + V1*Y(3,1)*sin(delta3 - delta1 - Teta(3,1)) + V2*Y(3,2)*sin(delta3 - delta2 - Teta(3,2)) + V3*Y(3,3)*sin(delta3 - delta3 - Teta(3,3)) + V4*Y(3,4)*sin(delta3 delta4 - Teta(3,4)) + V5*Y(3,5)*sin(delta3 - delta5 - Teta(3,5)) Jakobi_67 = V3*Y(3,4)*sin(delta3 - delta4 - Teta(3,4)) Jakobi_68 = V3*Y(3,5)*sin(delta3 - delta5 - Teta(3,5))

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Jakobi_71 = V4*V2*Y(4,2)*cos(Teta(4,2) - delta4 + delta2) Jakobi_72 = V4*V3*Y(4,3)*cos(Teta(4,3) - delta4 + delta3) Jakobi_73 = V4*V1*Y(4,1)*cos(delta4 - delta1-Teta(4,1)) + V4*V2*Y(4,2)*cos(delta V4*V2*Y(4,2 )*cos(delta4 4 - delta2 - Teta(4,2)) + V4*V3*Y(4,3)*cos(delta V4*V3*Y(4,3 )*cos(delta4 4 - delta3 - Teta(4,3)) + V4*V5*Y(4,5)*cos(delta4 - delta5-Teta(4,5)) Jakobi_74 = V4*V5*Y(4,5)*cos(Teta(4,5) - delta4 + delta5) Jakobi_75 = V4*Y(4,2)*sin(delta4 - delta2 - Teta(4,2)) Jakobi_76 = V4*Y(4,3)*sin(delta4 - delta3 - Teta(4,3)) Jakobi_77 = -V4*Y(4,4)*sin(Teta(4,4)) + V1*Y(4,1)*sin(delta4 - delta1 - Teta(4,1)) + V2*Y(4,2)*sin(delta4 - delta2 - Teta(4,2)) + V3*Y(4,3)*sin(delta4 - delta3 - Teta(4,3)) + V4*Y(4,4)*sin(delta4 delta4 - Teta(4,4)) + V5*Y(4,5)*sin(delta4 - delta5 - Teta(4,5)) Jakobi_78 = V4*Y(4,5)*sin(delta4 - delta5 - Teta(4,5))

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Jakobi_81 = V5*V2*Y(5,2)*cos(Teta(5,2) - delta5 + delta2) Jakobi_82 = V5*V3*Y(5,3)*cos(Teta(5,3) - delta5 + delta3) Jakobi_83 = V5*V4*Y(5,4)*cos(Teta(5,4) - delta5 + delta4) Jakobi_84 = V5*V1*Y(5,1)*cos(delta5 - delta1 - Teta(5,1)) + V5*V2*Y(5,2)*cos(delta V5*V2*Y(5,2 )*cos(delta5 5 - delta2 - Teta(5,2)) + V5*V3*Y(5,3)*cos(delta V5*V3*Y(5,3 )*cos(delta5 5 - delta3 - Teta(5,3)) + V5*V4*Y(5,4)*cos(delta V5*V4*Y(5,4 5 - delta4 - Teta(5,4)) Jakobi_85 =)*cos(delta5 V5*Y(5,2)*sin(delta5 delta2 - Teta(5,2))

 

     

Jakobi_86 = V5*Y(5,3)*sin(delta5 - delta3 - Teta(5,3)) Jakobi_87 = V5*Y(5,4)*sin(delta5 - delta4 - Teta(5,4)) Jakobi_88 = -V5*Y(5,5)*sin(Teta(5,5)) + V1*Y(5,1)*sin(delta5 - delta1 - Teta(5,1)) + V2*Y(5,2)*sin(delta5 - delta2 - Teta(5,2)) + V3*Y(5,3)*sin(delta5 - delta3 - Teta(5,3)) + V4*Y(5,4)*sin(delta5 delta4 - Teta(5,4)) + V5*Y(5,5)*sin(delta5 - delta5 - Teta(5,5))

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Jakobian = [Jakobi_11 Jakobi_12 Jakobi_13 Jakobi_14 Jakobi_15 Jakobi_16 Jakobi_22 Jakobi_23 Jakobi_25 Jakobi_17 Jakobi_26 Jakobi_18;Jakobi_21 Jakobi_27 Jakobi_28;Jakobi_31 Jakobi_32 Jakobi_24 Jakobi_33 Jakobi_34 Jakobi_35 Jakobi_36 Jakobi_37 Jakobi_38;Jakobi_41 Jakobi_42 Jakobi_43 Jakobi_44 Jakobi_45 Jakobi_46 Jakobi_47 Jakobi_48;Jakobi_51 Jakobi_52 Jakobi_53 Jakobi_54 Jakobi_55 Jakobi_56 Jakobi_57 Jakobi_58;Jakobi_61 Jakobi_62 Jakobi_63 Jakobi_64 Jakobi_65 Jakobi_66 Jakobi_67 Jakobi_68;Jakobi_71 Jakobi_72 Jakobi_73 Jakobi_74 Jakobi_75 Jakobi_76 Jakobi_77 Jakobi_78;Jakobi_81 Jakobi_82 Jakobi_83 Jakobi_84 Jakobi_85 Jakobi_86 Jakobi_87 Jakobi_88 ]

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% Nilai-nilai koreksi untuk estimasi solusi:

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Inverse_Jakobian = inv(Jakobian) Nilai_Koreksi_Vektor_Tegangan =

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Inverse_Jakobian*Vektor_Power_Mismatch

 

% Nilai estimasi Iterasi ke-4 disp ('Iterasi ('Iterasi 4') 4')

 

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Vektor_Tegangan_Baru = Vektor_Tegangan_Awal + Nilai_Koreksi_Vektor_Tegangan

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delta2 = Vektor_Tegangan_Baru(1,1) delta3 = Vektor_Tegangan_Baru(2,1) delta4 = Vektor_Tegangan_Baru(3,1) delta5 = Vektor_Tegangan_Baru(4,1) V2 = Vektor_Tegangan_Baru(5,1) V3 = Vektor_Tegangan_Baru(6,1)

   

V4 = Vektor_Tegangan_Baru(7,1) V5 = Vektor_Tegangan_Baru(8,1)

       

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disp ('Perhitungan ('Perhitungan Power Mismatch dengan estimasi awal') awal') P2h = (V2*Y(2,1)*(V1)*cos(delta2-delta1-Teta(2,1))) + (V2*Y(2,2)*(V2)*cos(delta2-delta2-Teta(2,2))) + (V2*Y(2,3)*(V3)*cos(delta2-delta3-Teta(2,3))) + (V2*Y(2,4)*(V4)*cos(delta2-delta4-Teta(2,4))) + (V2*Y(2,5)*(V5)*cos(delta2-delta5-Teta(2,5)))

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P3h = (V3*Y(3,1)*V1*cos(delta3-delta1-Teta(3,1))) + (V3*Y(3,2)*V2*cos(delta3-delta2-Teta(3,2))) + (V3*Y(3,3)*V3*cos(delta3-delta3-Teta(3,3))) + (V3*Y(3,4)*(V4)*cos(delta3-delta4-Teta(3,4))) + (V3*Y(3,5)*(V5)*cos(delta3-delta5-Teta(3,5)))

 

 

P4h = (V4*Y(4,1)*V1*cos(delta4-delta1-Teta(4,1))) + (V4*Y(4,2)*V2*cos(delta4-delta2-Teta(4,2))) + (V4*Y(4,3)*V3*cos(delta4-delta3-Teta(4,3))) + (V4*Y(4,4)*(V4)*cos(delta4-delta4-Teta(4,4))) + (V4*Y(4,5)*(V5)*cos(delta4-delta5-Teta(4,5)))

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P5h = (V5*Y(5,1)*V1*cos(delta5-delta1-Teta(5,1))) + (V5*Y(5,2)*V2*cos(delta5-delta2-Teta(5,2))) + (V5*Y(5,3)*V3*cos(delta5-delta3-Teta(5,3))) + (V5*Y(5,4)*(V4)*cos(delta5-delta4-Teta(5,4))) + (V5*Y(5,5)*(V5)*cos(delta5-delta5-Teta(5,5)))

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Q2h = (V2*Y(2,1)*V1*sin(delta2-delta1-Teta(2,1))) + (V2*Y(2,2)*V2*sin(delta2-delta2-Teta(2,2))) + (V2*Y(2,3)*V3*sin(delta2-delta3-Teta(2,3))) + (V2*Y(2,4)*V4*sin(delta2-delta4-Teta(2,4))) + (V2*Y(2,5)*V5*sin(delta2-delta5-Teta(2,5)))

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Q3h = (V3*Y(3,1)*V1*sin(delta3-delta1-Teta(3,1))) + (V3*Y(3,2)*V2*sin(delta3-delta2-Teta(3,2))) + (V3*Y(3,3)*V3*sin(delta3-delta3-Teta(3,3))) + (V3*Y(3,4)*V4*sin(delta3-delta4-Teta(3,4))) + (V3*Y(3,5)*V5*sin(delta3-delta5-Teta(3,5)))

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Q4h = (V4*Y(4,1)*V1*sin(delta4-delta1-Teta(4,1))) + (V4*Y(4,2)*V2*sin(delta4-delta2-Teta(4,2))) + (V4*Y(4,3)*V3*sin(delta4-delta3-Teta(4,3))) + (V4*Y(4,4)*V4*sin(delta4-delta4-Teta(4,4))) + (V4*Y(4,5)*V5*sin(delta4-delta5-Teta(4,5)))

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Q5h = (V5*Y(5,1)*V1*sin(delta5-delta1-Teta(5,1))) + (V5*Y(5,2)*V2*sin(delta5-delta2-Teta(5,2))) + (V5*Y(5,3)*V3*sin(delta5-delta3-Teta(5,3))) + (V5*Y(5,4)*V4*sin(delta5-delta4-Teta(5,4))) + (V5*Y(2,5)*V5*sin(delta5-delta5-Teta(5,5)))

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disp ('Menghitung ('Menghitung Perbedaan Daya') Daya') P2d = (Pd2/100) P3d = -(Pd3/100) P4d P5d Q2d Q3d Q4d Q5d

= = = = = =

-(Pd4/100) -(Pd5/100) (Qd2/100) -(Qd3/100) -(Qd4/100) -(Qd5/100)

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disp ('Maka ('Maka perbedaan daya diperoleh') diperoleh') P2=P2d-P2h P3=P3d-P3h P4=P4d-P4h P5=P5d-P5h Q2=Q2d-Q2h Q3=Q3d-Q3h

 

Q4=Q4d-Q4h

         

 

 

Q5=Q5d-Q5h

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Vektor_Power_Mismatch = [P2;P3;P4;P5;Q2;Q3;Q4;Q5]

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%Sehingga Matrik Jakobian Menjadi : Jakobi_11 = V1*V2*Y(2,1)*sin(Teta(2,1) + delta1 - delta2) + V2*V3*Y(2,3)*sin(Teta(2,3) - delta2 + delta3) + V2*V4*Y(2,4)*sin(Teta(2,4) - delta2 + delta4) + V2*V5*Y(2,5)*sin(Teta(2,5) - delta2 + delta5) Jakobi_12 = V2*V3*Y(2,3)*sin(delta2 - delta3 - Teta(2,3)) Jakobi_13 = V2*V4*Y(2,4)*sin(delta2 - delta4 - Teta(2,4)) Jakobi_14 = V2*V5*Y(2,5)*sin(delta2 - delta5 - Teta(2,5)) Jakobi_15 = V2*Y(2,2)*cos(Teta(2,2)) + V1*Y(2,1)*cos(delta2 - delta1 - Teta(2,1)) + V2*Y(2,2)*cos(delta2 - delta2 - Teta(2,2)) + V3*Y(2,3)*cos(delta2 - delta3 - Teta(2,3)) + V4*Y(2,4)*cos(delta2 delta4 - Teta(2,4)) + V5*Y(2,5)*cos(delta2 - delta5 - Teta(2,5)) Jakobi_16 = V2*Y(2,3)*cos(delta2 - delta3 - Teta(2,3)) Jakobi_17 = V2*Y(2,4)*cos(delta2 - delta4 - Teta(2,4)) Jakobi_18 = V2*Y(2,5)*cos(delta2 - delta5 - Teta(2,5))

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Jakobi_21 = -V2*V3*Y(3,2)*sin(Teta(3,2) + delta2 - delta3) Jakobi_22 = V1*V3*Y(3,1)*sin(Teta(3,1) + delta1 - delta3) + V2*V3*Y(3,2)*sin(Teta(3,2) + delta2 - delta3) + V3*V4*Y(3,4)*sin(Teta(3,4) + delta4 - delta3) + V3*V5*Y(3,5)*sin(Teta(3,5) + delta5 - delta3) Jakobi_23 = V3*V4*Y(3,4)*sin(delta3 - delta4 - Teta(3,4)) Jakobi_24 = V3*V5*Y(3,5)*sin(delta3 - delta5 - Teta(3,5)) Jakobi_25 = V3*Y(3,2)*cos(delta3 - delta2 - Teta(3,2)) Jakobi_26 = V3*Y(3,3)*cos(Teta(3,3)) + V1*Y(3,1)*cos(delta3 - delta1 - Teta(3,1)) + V2*Y(3,2)*cos(delta3 - delta2 - Teta(3,2)) + V3*Y(3,3)*cos(delta3 - delta3 - Teta(3,3)) + V4*Y(3,4)*cos(delta3 delta4 - Teta(3,4)) + V5*Y(3,5)*cos(delta3 - delta5 - Teta(3,5)) Jakobi_27 = V3*Y(3,4)*sin(delta3 - delta4 - Teta(3,4)) Jakobi_28 = V3*Y(3,5)*sin(delta3 - delta5 - Teta(3,5))

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Jakobi_31 = V4*V2*Y(4,2)*sin(delta4 - delta2 - Teta(4,2)) Jakobi_32 = V4*V3*Y(4,3)*sin(delta4 - delta3 - Teta(4,3)) Jakobi_33 = -V4*V1*Y(4,1)*sin(delta4 - delta1 - Teta(4,1)) V4*V2*Y(4,2)*sin(delta V4*V2*Y(4,2 )*sin(delta4 4 - delta2 - Teta(4,2)) V4*V3*Y(4,3)*sin(delta V4*V3*Y(4,3 )*sin(delta4 4 - delta3 - Teta(4,3)) V4*V5*Y(4,5)*sin(delta V4*V5*Y(4,5 )*sin(delta4 4 - delta5 - Teta(4,5)) Jakobi_34 = V4*V5*Y(4,5)*sin(delta4 - delta5 - Teta(4,5)) Jakobi_35 = V4*Y(4,2)*cos(delta4 - delta2 - Teta(4,2)) Jakobi_36 = V4*Y(4,3)*cos(delta4 - delta3 - Teta(4,3)) Jakobi_37 = V4*Y(4,4)*cos(Teta(4,4)) + V1*Y(4,1)*cos(delta4 - delta1 - Teta(4,1)) + V2*Y(4,2)*cos(delta4 - delta2 - Teta(4,2)) + V3*Y(4,3)*cos(delta4 - delta3 - Teta(4,3)) + V4*Y(4,4)*cos(delta4 delta4 - Teta(4,4)) + V5*Y(4,5)*cos(delta4 - delta5 - Teta(4,5)) Jakobi_38 = V4*Y(4,5)*cos(delta4 - delta5 - Teta(4,5))

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Jakobi_41 = V5*V2*Y(5,2)*sin(delta5 - delta2 - Teta(5,2)) Jakobi_42 = V5*V3*Y(5,3)*sin(delta5 - delta3 - Teta(5,3))

 

Jakobi_43 = V5*V4*Y(5,4)*sin(delta5 - delta4 - Teta(5,4))

 

 

       

Jakobi_44 = -V5*V1*Y(5,1)*sin(delta5 - delta1 - Teta(5,1)) V5*V2*Y(5,2)*sin(delta V5*V2*Y(5,2 )*sin(delta5 5 - delta2 - Teta(5,2)) V5*V3*Y(5,3)*sin(delta V5*V3*Y(5,3 )*sin(delta5 5 - delta3 - Teta(5,3)) V5*V4*Y(5,4)*sin(delta V5*V4*Y(5,4 )*sin(delta5 5 - delta4 - Teta(5,4)) Jakobi_45 = V5*Y(5,2)*cos(delta5 - delta2 - Teta(5,2)) Jakobi_46 = V5*Y(5,3)*cos(delta5 - delta3 - Teta(5,3)) Jakobi_47 = V5*Y(5,4)*cos(delta5 - delta4 - Teta(5,4)) Jakobi_48 = V5*Y(5,5)*cos(Teta(5,5)) + V1*Y(5,1)*cos(delta5 - delta1 - Teta(5,1)) + V2*Y(5,2)*cos(delta5 - delta2 Teta(5,2)) + V3*Y(5,3)*cos(delta5 - delta3 - Teta(5,3)) + V4*Y(5,4)*cos(delta5 delta4 - Teta(5,4)) + V5*Y(5,5)*cos(delta5 - delta5 - Teta(5,5))

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Jakobi_51 = V2*V1*Y(2,1)*cos(delta2 - delta1 - Teta(2,1)) + V2*V3*Y(2,3)*cos(delta V2*V3*Y(2,3 )*cos(delta2 2 - delta3 - Teta(2,3)) + V2*V4*Y(2,4)*cos(delta V2*V4*Y(2,4 )*cos(delta2 2 - delta4 - Teta(2,4))+ V2*V5*Y(2,5)*cos(delta V2*V5*Y(2,5 )*cos(delta2 2 - delta5 - Teta(2,5)) Jakobi_52 = -V2*V3*Y(2,3)*cos(delta2 - delta3 - Teta(2,3)) Jakobi_53 = -V2*V4*Y(2,4)*cos(delta2 - delta4 - Teta(2,4)) Jakobi_54 = -V2*V5*Y(2,5)*cos(delta2 - delta5 - Teta(2,5)) Jakobi_55 = -V2*Y(2,2)*sin(Teta(2,2)) + V1*Y(2,1)*sin(delta2 - delta1 - Teta(2,1)) + V2*Y(2,2)*sin(delta2 - delta2 - Teta(2,2)) + V3*Y(2,3)*sin(delta2 - delta3 - Teta(2,3)) + V4*Y(2,4)*sin(delta2 delta4 - Teta(2,4)) + V5*Y(2,5)*sin(delta2 - delta5 - Teta(2,5)) Jakobi_56 Jakobi_57 = = V2*Y(2,3)*sin(delta2 V2*Y(2,4)*sin(delta2 - delta3 delta4 - Teta(2,3)) Teta(2,4)) Jakobi_58 = V2*Y(2,5)*sin(delta2 - delta5 - Teta(2,5))

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Jakobi_61 = V3*V2*Y(3,2)*cos(Teta(3,2) - delta3 + delta2) Jakobi_62 = V3*V1*Y(3,1)*cos(delta3 - delta1 - Teta(3,1)) + V3*V2*Y(2,3)*cos(delta V3*V2*Y(2,3 )*cos(delta3 3 - delta2 - Teta(3,2)) + V3*V4*Y(3,4)*cos(delta V3*V4*Y(3,4 )*cos(delta3 3 - delta4 - Teta(3,4)) + V3*V5*Y(3,5)*cos(delta V3*V5*Y(3,5 )*cos(delta3 3 - delta5 - Teta(3,5)) Jakobi_63 = V3*V4*Y(3,4)*cos(Teta(3,4) - delta3 + delta4) Jakobi_64 = V3*V5*Y(3,5)*cos(Teta(3,5) - delta3 + delta5) Jakobi_65 = V3*Y(3,2)*sin(delta3 - delta2 - Teta(3,2)) Jakobi_66 = -V3*Y(3,3)*sin(Teta(3,3)) + V1*Y(3,1)*sin(delta3 - delta1 - Teta(3,1)) + V2*Y(3,2)*sin(delta3 - delta2 - Teta(3,2)) + V3*Y(3,3)*sin(delta3 - delta3 - Teta(3,3)) + V4*Y(3,4)*sin(delta3 delta4 - Teta(3,4)) + V5*Y(3,5)*sin(delta3 - delta5 - Teta(3,5)) Jakobi_67 = V3*Y(3,4)*sin(delta3 - delta4 - Teta(3,4)) Jakobi_68 = V3*Y(3,5)*sin(delta3 - delta5 - Teta(3,5))

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Jakobi_71 = V4*V2*Y(4,2)*cos(Teta(4,2) - delta4 + delta2) Jakobi_72 = V4*V3*Y(4,3)*cos(Teta(4,3) - delta4 + delta3) Jakobi_73 = V4*V1*Y(4,1)*cos(delta4 - delta1-Teta(4,1)) + V4*V2*Y(4,2)*cos(delta V4*V2*Y(4,2 )*cos(delta4 4 - delta2 - Teta(4,2)) + V4*V3*Y(4,3)*cos(delta V4*V3*Y(4,3 )*cos(delta4 4 - delta3 - Teta(4,3)) + V4*V5*Y(4,5)*cos(delta4 - delta5-Teta(4,5)) Jakobi_74 = V4*V5*Y(4,5)*cos(Teta(4,5) - delta4 + delta5) Jakobi_75 = V4*Y(4,2)*sin(delta4 - delta2 - Teta(4,2)) Jakobi_76 = V4*Y(4,3)*sin(delta4 - delta3 - Teta(4,3)) Jakobi_77 = -V4*Y(4,4)*sin(Teta(4,4)) + V1*Y(4,1)*sin(delta4 - delta1 - Teta(4,1)) + V2*Y(4,2)*sin(delta4 - delta2 - Teta(4,2)) +

 

 

V3*Y(4,3)*sin(delta4 - delta3 - Teta(4,3)) + V4*Y(4,4)*sin(delta4 delta4 - Teta(4,4)) + V5*Y(4,5)*sin(delta4 - delta5 - Teta(4,5)) Jakobi_78 = V4*Y(4,5)*sin(delta4 - delta5 - Teta(4,5))

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Jakobi_81 Jakobi_82 Jakobi_83 Jakobi_84

= = = =

V5*V2*Y(5,2)*cos(Teta(5,2) - delta5 + delta2) V5*V3*Y(5,3)*cos(Teta(5,3) - delta5 + delta3) V5*V4*Y(5,4)*cos(Teta(5,4) - delta5 + delta4) V5*V1*Y(5,1)*cos(delta5 - delta1 - Teta(5,1)) +

V5*V2*Y(5,2)*cos(delta5 V5*V2*Y(5,2)*cos(delta 5 - delta2 - Teta(5,2)) + V5*V3*Y(5,3)*cos(delta V5*V3*Y(5,3 )*cos(delta5 5 - delta3 - Teta(5,3)) + V5*V4*Y(5,4)*cos(delta V5*V4*Y(5,4 )*cos(delta5 5 - delta4 - Teta(5,4)) Jakobi_85 = V5*Y(5,2)*sin(delta5 - delta2 - Teta(5,2)) Jakobi_86 = V5*Y(5,3)*sin(delta5 - delta3 - Teta(5,3)) Jakobi_87 = V5*Y(5,4)*sin(delta5 - delta4 - Teta(5,4)) Jakobi_88 = -V5*Y(5,5)*sin(Teta(5,5)) + V1*Y(5,1)*sin(delta5 - delta1 - Teta(5,1)) + V2*Y(5,2)*sin(delta5 - delta2 - Teta(5,2)) + V3*Y(5,3)*sin(delta5 - delta3 - Teta(5,3)) + V4*Y(5,4)*sin(delta5 delta4 - Teta(5,4)) + V5*Y(5,5)*sin(delta5 - delta5 - Teta(5,5))

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Jakobian = [Jakobi_11 Jakobi_12 Jakobi_13 Jakobi_14 Jakobi_15 Jakobi_16 Jakobi_17 Jakobi_18;Jakobi_21 Jakobi_22 Jakobi_23 Jakobi_24 Jakobi_25 Jakobi_26 Jakobi_27 Jakobi_28;Jakobi_31 Jakobi_32 Jakobi_33 Jakobi_34 Jakobi_35 Jakobi_36 Jakobi_37 Jakobi_38;Jakobi_41 Jakobi_42 Jakobi_43 Jakobi_44 Jakobi_54 Jakobi_45 Jakobi_55 Jakobi_46 Jakobi_52 Jakobi_53 Jakobi_58;Jakobi_61 Jakobi_62 Jakobi_63 Jakobi_67 Jakobi_68;Jakobi_71 Jakobi_72 Jakobi_76 Jakobi_77 Jakobi_78;Jakobi_81 Jakobi_85 Jakobi_86 Jakobi_87 Jakobi_88

Jakobi_47 Jakobi_56 Jakobi_64 Jakobi_73 Jakobi_82 ]

Jakobi_48;Jakobi_51 Jakobi_57 Jakobi_65 Jakobi_66 Jakobi_74 Jakobi_75 Jakobi_83 Jakobi_84

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% Nilai-nilai koreksi untuk estimasi solusi:

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Inverse_Jakobian = inv(Jakobian) Nilai_Koreksi_Vektor_Tegangan = Inverse_Jakobian*Vektor_Power_Mismatch

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% Nilai estimasi Iterasi ke-5

 

disp ('Iterasi ('Iterasi 5') 5')

 

Vektor_Tegangan_Baru = Vektor_Tegangan_Awal + Nilai_Koreksi_Vektor_Tegangan

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delta2 = Vektor_Tegangan_Baru(1,1) delta3 = Vektor_Tegangan_Baru(2,1) delta4 = Vektor_Tegangan_Baru(3,1) delta5 = Vektor_Tegangan_Baru(4,1) V2 = Vektor_Tegangan_Baru(5,1) V3 = Vektor_Tegangan_Baru(6,1) V4 = Vektor_Tegangan_Baru(7,1) V5 = Vektor_Tegangan_Baru(8,1)

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disp ('Perhitungan ('Perhitungan Power Mismatch dengan estimasi awal') awal')

 

 

P2h = (V2*Y(2,1)*(V1)*cos(delta2-delta1-Teta(2,1))) + (V2*Y(2,2)*(V2)*cos(delta2-delta2-Teta(2,2))) + (V2*Y(2,3)*(V3)*cos(delta2-delta3-Teta(2,3))) + (V2*Y(2,4)*(V4)*cos(delta2-delta4-Teta(2,4))) + (V2*Y(2,5)*(V5)*cos(delta2-delta5-Teta(2,5)))

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P3h = (V3*Y(3,1)*V1*cos(delta3-delta1-Teta(3,1))) + (V3*Y(3,2)*V2*cos(delta3-delta2-Teta(3,2))) + (V3*Y(3,3)*V3*cos(delta3-delta3-Teta(3,3))) + (V3*Y(3,4)*(V4)*cos(delta3-delta4-Teta(3,4))) + (V3*Y(3,5)*(V5)*cos(delta3-delta5-Teta(3,5)))

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P4h = (V4*Y(4,1)*V1*cos(delta4-delta1-Teta(4,1))) + (V4*Y(4,2)*V2*cos(delta4-delta2-Teta(4,2))) + (V4*Y(4,3)*V3*cos(delta4-delta3-Teta(4,3))) + (V4*Y(4,4)*(V4)*cos(delta4-delta4-Teta(4,4))) + (V4*Y(4,5)*(V5)*cos(delta4-delta5-Teta(4,5)))

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P5h = (V5*Y(5,1)*V1*cos(delta5-delta1-Teta(5,1))) + (V5*Y(5,2)*V2*cos(delta5-delta2-Teta(5,2))) + (V5*Y(5,3)*V3*cos(delta5-delta3-Teta(5,3))) + (V5*Y(5,4)*(V4)*cos(delta5-delta4-Teta(5,4))) + (V5*Y(5,5)*(V5)*cos(delta5-delta5-Teta(5,5)))

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Q2h = (V2*Y(2,1)*V1*sin(delta2-delta1-Teta(2,1))) + (V2*Y(2,2)*V2*sin(delta2-delta2-Teta(2,2))) + (V2*Y(2,3)*V3*sin(delta2-delta3-Teta(2,3))) + (V2*Y(2,4)*V4*sin(delta2-delta4-Teta(2,4))) + (V2*Y(2,5)*V5*sin(delta2-delta5-Teta(2,5)))

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Q3h = (V3*Y(3,1)*V1*sin(delta3-delta1-Teta(3,1))) + (V3*Y(3,2)*V2*sin(delta3-delta2-Teta(3,2))) + (V3*Y(3,3)*V3*sin(delta3-delta3-Teta(3,3))) + (V3*Y(3,4)*V4*sin(delta3-delta4-Teta(3,4))) + (V3*Y(3,5)*V5*sin(delta3-delta5-Teta(3,5)))

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Q4h = (V4*Y(4,1)*V1*sin(delta4-delta1-Teta(4,1))) + (V4*Y(4,2)*V2*sin(delta4-delta2-Teta(4,2))) + (V4*Y(4,3)*V3*sin(delta4-delta3-Teta(4,3))) + (V4*Y(4,4)*V4*sin(delta4-delta4-Teta(4,4))) + (V4*Y(4,5)*V5*sin(delta4-delta5-Teta(4,5)))

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Q5h = (V5*Y(5,1)*V1*sin(delta5-delta1-Teta(5,1))) + (V5*Y(5,2)*V2*sin(delta5-delta2-Teta(5,2))) + (V5*Y(5,3)*V3*sin(delta5-delta3-Teta(5,3))) + (V5*Y(5,4)*V4*sin(delta5-delta4-Teta(5,4))) + (V5*Y(2,5)*V5*sin(delta5-delta5-Teta(5,5)))

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disp ('Menghitung ('Menghitung Perbedaan Daya') Daya') P2d = (Pd2/100) P3d = -(Pd3/100) P4d = -(Pd4/100) P5d = -(Pd5/100) Q2d = (Qd2/100)

 

Q3d = -(Qd3/100)

       

 

   

Q4d = -(Qd4/100) Q5d = -(Qd5/100)

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disp ('Maka ('Maka perbedaan daya diperoleh') diperoleh') P2=P2d-P2h P3=P3d-P3h P4=P4d-P4h P5=P5d-P5h Q2=Q2d-Q2h Q3=Q3d-Q3h Q4=Q4d-Q4h Q5=Q5d-Q5h

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Vektor_Power_Mismatch = [P2;P3;P4;P5;Q2;Q3;Q4;Q5]

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%Sehingga Matrik Jakobian Menjadi : Jakobi_11 = V1*V2*Y(2,1)*sin(Teta(2,1) + delta1 - delta2) + V2*V3*Y(2,3)*sin(Teta(2,3) - delta2 + delta3) + V2*V4*Y(2,4)*sin(Teta(2,4) - delta2 + delta4) + V2*V5*Y(2,5)*sin(Teta(2,5) - delta2 + delta5) Jakobi_12 = V2*V3*Y(2,3)*sin(delta2 - delta3 - Teta(2,3)) Jakobi_13 = V2*V4*Y(2,4)*sin(delta2 - delta4 - Teta(2,4)) Jakobi_14 = V2*V5*Y(2,5)*sin(delta2 - delta5 - Teta(2,5)) Jakobi_15 = V2*Y(2,2)*cos(Teta(2,2)) + V1*Y(2,1)*cos(delta2 - delta1 - Teta(2,1)) + V2*Y(2,2)*cos(delta2 - delta2 - Teta(2,2)) + V3*Y(2,3)*cos(delta2 - delta3 - Teta(2,3)) + V4*Y(2,4)*cos(delta2 delta4 - Teta(2,4)) + V5*Y(2,5)*cos(delta2 - delta5 - Teta(2,5)) Jakobi_16 = V2*Y(2,3)*cos(delta2 - delta3 - Teta(2,3)) Jakobi_17 = V2*Y(2,4)*cos(delta2 - delta4 - Teta(2,4)) Jakobi_18 = V2*Y(2,5)*cos(delta2 - delta5 - Teta(2,5))

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Jakobi_21 = -V2*V3*Y(3,2)*sin(Teta(3,2) + delta2 - delta3) Jakobi_22 = V1*V3*Y(3,1)*sin(Teta(3,1) + delta1 - delta3) + V2*V3*Y(3,2)*sin(Teta(3,2) + delta2 - delta3) + V3*V4*Y(3,4)*sin(Teta(3,4) + delta4 - delta3) + V3*V5*Y(3,5)*sin(Teta(3,5) + delta5 - delta3) Jakobi_23 = V3*V4*Y(3,4)*sin(delta3 - delta4 - Teta(3,4)) Jakobi_24 = V3*V5*Y(3,5)*sin(delta3 - delta5 - Teta(3,5)) Jakobi_25 = V3*Y(3,2)*cos(delta3 - delta2 - Teta(3,2)) Jakobi_26 = V3*Y(3,3)*cos(Teta(3,3)) + V1*Y(3,1)*cos(delta3 - delta1 - Teta(3,1)) + V2*Y(3,2)*cos(delta3 - delta2 - Teta(3,2)) + V3*Y(3,3)*cos(delta3 - delta3 - Teta(3,3)) + V4*Y(3,4)*cos(delta3 delta4 - Teta(3,4)) + V5*Y(3,5)*cos(delta3 - delta5 - Teta(3,5)) Jakobi_27 = V3*Y(3,4)*sin(delta3 - delta4 - Teta(3,4)) Jakobi_28 = V3*Y(3,5)*sin(delta3 - delta5 - Teta(3,5))

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Jakobi_31 = V4*V2*Y(4,2)*sin(delta4 - delta2 - Teta(4,2)) Jakobi_32 = V4*V3*Y(4,3)*sin(delta4 - delta3 - Teta(4,3)) Jakobi_33 = -V4*V1*Y(4,1)*sin(delta4 - delta1 - Teta(4,1)) V4*V2*Y(4,2)*sin(delta V4*V2*Y(4,2 )*sin(delta4 4 - delta2 - Teta(4,2)) V4*V3*Y(4,3)*sin(delta V4*V3*Y(4,3 )*sin(delta4 4 - delta3 - Teta(4,3)) -

 

V4*V5*Y(4,5)*sin(delta V4*V5*Y(4,5 )*sin(delta4 4 - delta5 - Teta(4,5)) Jakobi_34 = V4*V5*Y(4,5)*sin(delta4 - delta5 - Teta(4,5))

 

 

     

 

Jakobi_35 = V4*Y(4,2)*cos(delta4 - delta2 - Teta(4,2)) Jakobi_36 = V4*Y(4,3)*cos(delta4 - delta3 - Teta(4,3)) Jakobi_37 = V4*Y(4,4)*cos(Teta(4,4)) + V1*Y(4,1)*cos(delta4 - delta1 - Teta(4,1)) + V2*Y(4,2)*cos(delta4 - delta2 - Teta(4,2)) + V3*Y(4,3)*cos(delta4 - delta3 - Teta(4,3)) + V4*Y(4,4)*cos(delta4 delta4 - Teta(4,4)) + V5*Y(4,5)*cos(delta4 - delta5 - Teta(4,5)) Jakobi_38 = V4*Y(4,5)*cos(delta4 - delta5 - Teta(4,5))

        

       

Jakobi_41 = V5*V2*Y(5,2)*sin(delta5 - delta2 - Teta(5,2)) Jakobi_42 = V5*V3*Y(5,3)*sin(delta5 - delta3 - Teta(5,3)) Jakobi_43 = V5*V4*Y(5,4)*sin(delta5 - delta4 - Teta(5,4)) Jakobi_44 = -V5*V1*Y(5,1)*sin(delta5 - delta1 - Teta(5,1)) V5*V2*Y(5,2)*sin(delta V5*V2*Y(5,2 )*sin(delta5 5 - delta2 - Teta(5,2)) V5*V3*Y(5,3)*sin(delta V5*V3*Y(5,3 )*sin(delta5 5 - delta3 - Teta(5,3)) V5*V4*Y(5,4)*sin(delta V5*V4*Y(5,4 )*sin(delta5 5 - delta4 - Teta(5,4)) Jakobi_45 = V5*Y(5,2)*cos(delta5 - delta2 - Teta(5,2)) Jakobi_46 = V5*Y(5,3)*cos(delta5 - delta3 - Teta(5,3)) Jakobi_47 = V5*Y(5,4)*cos(delta5 - delta4 - Teta(5,4)) Jakobi_48 = V5*Y(5,5)*cos(Teta(5,5)) + V1*Y(5,1)*cos(delta5 - delta1 - Teta(5,1)) + V2*Y(5,2)*cos(delta5 - delta2 - Teta(5,2)) + V3*Y(5,3)*cos(delta5 - delta3 - Teta(5,3)) + V4*Y(5,4)*cos(delta5 delta4 - Teta(5,4)) + V5*Y(5,5)*cos(delta5 - delta5 - Teta(5,5))

  

       

     

Jakobi_51 = V2*V1*Y(2,1)*cos(delta2 - delta1 - Teta(2,1)) + V2*V3*Y(2,3)*cos(delta V2*V3*Y(2,3 )*cos(delta2 2 - delta3 - Teta(2,3)) + V2*V4*Y(2,4)*cos(delta V2*V4*Y(2,4 )*cos(delta2 2 - delta4 - Teta(2,4))+ V2*V5*Y(2,5)*cos(delta V2*V5*Y(2,5 )*cos(delta2 2 - delta5 - Teta(2,5)) Jakobi_52 = -V2*V3*Y(2,3)*cos(delta2 - delta3 - Teta(2,3)) Jakobi_53 = -V2*V4*Y(2,4)*cos(delta2 - delta4 - Teta(2,4)) Jakobi_54 = -V2*V5*Y(2,5)*cos(delta2 - delta5 - Teta(2,5)) Jakobi_55 = -V2*Y(2,2)*sin(Teta(2,2)) + V1*Y(2,1)*sin(delta2 - delta1 - Teta(2,1)) + V2*Y(2,2)*sin(delta2 - delta2 - Teta(2,2)) + V3*Y(2,3)*sin(delta2 - delta3 - Teta(2,3)) + V4*Y(2,4)*sin(delta2 delta4 - Teta(2,4)) + V5*Y(2,5)*sin(delta2 - delta5 - Teta(2,5)) Jakobi_56 = V2*Y(2,3)*sin(delta2 - delta3 - Teta(2,3)) Jakobi_57 = V2*Y(2,4)*sin(delta2 - delta4 - Teta(2,4)) Jakobi_58 = V2*Y(2,5)*sin(delta2 - delta5 - Teta(2,5))

    

       

   

Jakobi_61 = V3*V2*Y(3,2)*cos(Teta(3,2) - delta3 + delta2) Jakobi_62 = V3*V1*Y(3,1)*cos(delta3 - delta1 - Teta(3,1)) + V3*V2*Y(2,3)*cos(delta V3*V2*Y(2,3 )*cos(delta3 3 - delta2 - Teta(3,2)) + V3*V4*Y(3,4)*cos(delta V3*V4*Y(3,4 )*cos(delta3 3 - delta4 - Teta(3,4)) + V3*V5*Y(3,5)*cos(delta V3*V5*Y(3,5 )*cos(delta3 3 - delta5 - Teta(3,5)) Jakobi_63 = V3*V4*Y(3,4)*cos(Teta(3,4) - delta3 + delta4) Jakobi_64 = V3*V5*Y(3,5)*cos(Teta(3,5) - delta3 + delta5) Jakobi_65 = V3*Y(3,2)*sin(delta3 - delta2 - Teta(3,2)) Jakobi_66 = -V3*Y(3,3)*sin(Teta(3,3)) + V1*Y(3,1)*sin(delta3 - delta1 - Teta(3,1)) + V2*Y(3,2)*sin(delta3 - delta2 - Teta(3,2)) + V3*Y(3,3)*sin(delta3 - delta3 - Teta(3,3)) + V4*Y(3,4)*sin(delta3 delta4 - Teta(3,4)) + V5*Y(3,5)*sin(delta3 - delta5 - Teta(3,5)) Jakobi_67 = V3*Y(3,4)*sin(delta3 - delta4 - Teta(3,4)) Jakobi_68 = V3*Y(3,5)*sin(delta3 - delta5 - Teta(3,5))

  

Jakobi_71 = V4*V2*Y(4,2)*cos(Teta(4,2) - delta4 + delta2)

 

   

       

 

Jakobi_72 = V4*V3*Y(4,3)*cos(Teta(4,3) - delta4 + delta3) Jakobi_73 = V4*V1*Y(4,1)*cos(delta4 - delta1-Teta(4,1)) + V4*V2*Y(4,2)*cos(delta V4*V2*Y(4,2 )*cos(delta4 4 - delta2 - Teta(4,2)) + V4*V3*Y(4,3)*cos(delta V4*V3*Y(4,3 )*cos(delta4 4 - delta3 - Teta(4,3)) + V4*V5*Y(4,5)*cos(delta4 - delta5-Teta(4,5)) Jakobi_74 = V4*V5*Y(4,5)*cos(Teta(4,5) - delta4 + delta5) Jakobi_75 = V4*Y(4,2)*sin(delta4 - delta2 - Teta(4,2)) Jakobi_76 = V4*Y(4,3)*sin(delta4 - delta3 - Teta(4,3)) Jakobi_77 = -V4*Y(4,4)*sin(Teta(4,4)) + V1*Y(4,1)*sin(delta4 - delta1 - Teta(4,1)) + V2*Y(4,2)*sin(delta4 - delta2 - Teta(4,2)) + V3*Y(4,3)*sin(delta4 - delta3 - Teta(4,3)) + V4*Y(4,4)*sin(delta4 delta4 - Teta(4,4)) + V5*Y(4,5)*sin(delta4 - delta5 - Teta(4,5)) Jakobi_78 = V4*Y(4,5)*sin(delta4 - delta5 - Teta(4,5))

        

       

Jakobi_81 = V5*V2*Y(5,2)*cos(Teta(5,2) - delta5 + delta2) Jakobi_82 = V5*V3*Y(5,3)*cos(Teta(5,3) - delta5 + delta3) Jakobi_83 = V5*V4*Y(5,4)*cos(Teta(5,4) - delta5 + delta4) Jakobi_84 = V5*V1*Y(5,1)*cos(delta5 - delta1 - Teta(5,1)) + V5*V2*Y(5,2)*cos(delta V5*V2*Y(5,2 )*cos(delta5 5 - delta2 - Teta(5,2)) + V5*V3*Y(5,3)*cos(delta V5*V3*Y(5,3 )*cos(delta5 5 - delta3 - Teta(5,3)) + V5*V4*Y(5,4)*cos(delta V5*V4*Y(5,4 )*cos(delta5 5 - delta4 - Teta(5,4)) Jakobi_85 = V5*Y(5,2)*sin(delta5 - delta2 - Teta(5,2)) Jakobi_86 = V5*Y(5,3)*sin(delta5 - delta3 - Teta(5,3)) Jakobi_87 = V5*Y(5,4)*sin(delta5 - delta4 - Teta(5,4)) Jakobi_88 = -V5*Y(5,5)*sin(Teta(5,5)) + V1*Y(5,1)*sin(delta5 - delta1 - Teta(5,1)) + V2*Y(5,2)*sin(delta5 - delta2 - Teta(5,2)) + V3*Y(5,3)*sin(delta5 - delta3 - Teta(5,3)) + V4*Y(5,4)*sin(delta5 delta4 - Teta(5,4)) + V5*Y(5,5)*sin(delta5 - delta5 - Teta(5,5))

  

Jakobian = [Jakobi_11 Jakobi_12 Jakobi_13 Jakobi_14 Jakobi_15 Jakobi_16 Jakobi_17 Jakobi_18;Jakobi_21 Jakobi_22 Jakobi_23 Jakobi_24 Jakobi_25 Jakobi_26 Jakobi_27 Jakobi_28;Jakobi_31 Jakobi_32 Jakobi_33 Jakobi_34 Jakobi_35 Jakobi_36 Jakobi_37 Jakobi_38;Jakobi_41 Jakobi_42 Jakobi_43 Jakobi_44 Jakobi_45 Jakobi_46 Jakobi_47 Jakobi_48;Jakobi_51 Jakobi_52 Jakobi_53 Jakobi_54 Jakobi_55 Jakobi_56 Jakobi_57 Jakobi_58;Jakobi_61 Jakobi_62 Jakobi_63 Jakobi_64 Jakobi_65 Jakobi_66 Jakobi_67 Jakobi_68;Jakobi_71 Jakobi_72 Jakobi_73 Jakobi_74 Jakobi_75 Jakobi_76 Jakobi_77 Jakobi_78;Jakobi_81 Jakobi_82 Jakobi_83 Jakobi_84 Jakobi_85 Jakobi_86 Jakobi_87 Jakobi_88 ]

   

% Nilai-nilai koreksi untuk estimasi solusi:

    

Inverse_Jakobian = inv(Jakobian) Nilai_Koreksi_Vektor_Tegangan = Inverse_Jakobian*Vektor_Power_Mismatch

i) Tunjukkan hasil perhitungan aliran daya yang saudara dapatkan dari 5 iterasi tersebut Data Bus V1 =

 

1.0600 V3 =

1

delta1 =

0

delta5 =

0

Pd2 =

20

d2 =

20

Pd3 =

45

d3 =

15

Pd4 =

40

d4 =

5

Pd5 =

60

d5 =

10

matriks admitansi bus Ybus = Columns 1 through 3 1.66 1.6630 30 - 7.83 7.8340 40ii 0.40 0.4090 90 - 4.5 4.507 070i 0i 1.25 1.2540 40 - 3.76 3.7640 40ii -0.4 -0.409 090 0 + 4.50 4.5070 70ii 7.31 7.3160 60 -19 -19.2 .283 830i 0i 1.67 1.6730 30 + 5.0 5.019 190i 0i -1.254 -1. 2540 0 + 3.7640i 3.7640i -1.673 -1.6730 0 + 5.0190i 5.0190i 12.927 12.9270 0 -38.804 -38.8040i 0i 0.0000 0.000 0 + 0.0000 0.0000ii -2.7250 -2.7250 + 2.229 2.2290i 0i -10.0000 -10.0000 +30.0 +30.0210i 210i 0.0000 + 0.0000i -2.5090 + 7.5280i 0.0000 + 0.0000i Columns 4 through 5 0.0000 + 0.0000i 0.0000i 0.0000 + 0.0000i 2.7250 + 2.2290i 2.2290i 2.5090 + 7.5280i

 

10.0000 -30.0210i 0.0000 + 0.0000i 13.9750 -36.0100i -36.0100i -1.2500 + 3.7600i -1.2500 + 3.7600i 3.7590 -11.2880i Y= 8.0086

4.5255

3.9674

0

4.5255 20.6242

5.2905

3.5205

3.9674

0 7.9351

5.2905 40.9006 31.6427

0

3.5205

0

7.9351

31.6427 38.6267 0

0 3.9623

3.9623 11.8974

Teta = -1.3616 -1.4803 -1.2492 1.6613 -1.2082 1.8924

2.4560

0

1.8925

Iterasi ke-0 delta2 =

0

delta3 =

0

delta4 =

0

delta5 =

0 1

V4 =

1

0.6856

0 1.2491

1.8925 -1.2492 -1.2493

0

V2 =

1.2490

0

1.8923 -1.2006 0

0 1.8917

1.8917 -1.2493

 

V5 =

1

Vektor_Tegangan_Awal = 0 0 0 0 1 1 1 1

Perhitungan Power Mismatch dengan estimasi awal

P2h = 13.7895 P3h = 19.9248 P4h = 2.2 .220 204e 4e-1 -16 6 P5h P5 h = -2.6 -2.664 645e 5e-1 -15 5 2h = -0.2704 3h = 59.8162 4h 4 h = -2.2 -2.220 204e 4e-1 -15 5 5h = -3.7594 Menghitung Perbedaan Daya P2d =

0.2000

 

P3d = -0.4500 P4d = -0.4000 P5d = -0.6000 2d =

0.2000

3d = -0.1500 4d = -0.0500 5d = -0.1000 Maka perbedaan daya diperoleh P2 = -13. -13.58 5895 95 P3 = -20. -20.37 3748 48 P4 = -0.4000 P5 = -0.6000 2 =

0.4704

3 = -59. -59.96 9662 62 4 = -0.0500 5 =

3.6594

Vektor_Power_Mismatch = -13.5895 -20.3748 -0.4000 -0.6000 0.4704 -59.9662

 

-0.0500 3.6594 Jako Jakobi bi_1 _11 1 = 19.5 19.553 534 4 Jako Jakobi bi_1 _12 2 = -5.0 -5.019 190 0 Jako Jakobi bi_1 _13 3 = -2.2 -2.229 290 0 Jako Jakobi bi_1 _14 4 = -7.5 -7.528 280 0 Jako Jakobi bi_1 _15 5 = 21.1 21.105 055 5 Jakobi_16 =

1.6730

Jakobi_17 =

2.7250

Jakobi_18 =

2.5090

Jako Jakobi bi_2 _21 1 = -5.0 -5.019 190 0 Jakobi Jak obi_22 _22 = -21.01 -21.0122 22 Jako Jakobi bi_2 _23 3 = 30.0 30.021 210 0 Jakobi_24 =

0

Jako Jakobi bi_2 _25 5 = -1.6 -1.673 730 0 Jako Jakobi bi_2 _26 6 = 32.8 32.851 518 8 Jako Jakobi bi_2 _27 7 = 30.0 30.021 210 0 Jakobi_28 =

0

Jako Jakobi bi_3 _31 1 = -2.2 -2.229 290 0 Jakobi Jak obi_32 _32 = -30.02 -30.0210 10 Jako Jakobi bi_3 _33 3 = 36.0 36.010 100 0 Jako Jakobi bi_3 _34 4 = -3.7 -3.760 600 0 Jako Jakobi bi_3 _35 5 = -2.7 -2.725 250 0

 

Jakobi Jak obi_36 _36 = -10.00 -10.0000 00 Jako Jakobi bi_3 _37 7 = 13.9 13.975 750 0 Jako Jakobi bi_3 _38 8 = -1.2 -1.250 500 0 Jako Jakobi bi_4 _41 1 = -7.5 -7.528 280 0 Jakobi_42 =

0

Jako Jakobi bi_4 _43 3 = -3.7 -3.760 600 0 Jako Jakobi bi_4 _44 4 = 11.2 11.288 880 0 Jako Jakobi bi_4 _45 5 = -2.5 -2.509 090 0 Jakobi_46 =

0

Jako Jakobi bi_4 _47 7 = -1.2 -1.250 500 0 Jakobi_48 =

3.7590

Jakobi_51 =

6.4735

Jako Jakobi bi_5 _52 2 = -1.6 -1.673 730 0 Jako Jakobi bi_5 _53 3 = -2.7 -2.725 250 0 Jako Jakobi bi_5 _54 4 = -2.5 -2.509 090 0 Jako Jakobi bi_5 _55 5 = 19.0 19.012 126 6 Jako Jakobi bi_5 _56 6 = -5.0 -5.019 190 0 Jako Jakobi bi_5 _57 7 = -2.2 -2.229 290 0 Jako Jakobi bi_5 _58 8 = -7.5 -7.528 280 0 Jako Jakobi bi_6 _61 1 = -1.6 -1.673 730 0 Jakobi_62 =

6.9978

Jakobi_63 =

10

Jakobi_64 =

0

 

Jakobi_65 =

-5.0190

Jakobi_66 =

98.6202

Jakobi_67 =

30.0210

Jakobi_68 =

0

Jakobi_71 =

 

-2.7250

Jakobi_72 =

-10.0000

Jakobi_73 =

-13.9750

Jakobi_74 =

-1.2500

Jakobi_75 =

-2.2290

 

Jakobi_76 =

-30.0210

Jakobi_77 =

36.0100

Jakobi_78 =

-3.7600

Jakobi_81 =

-2.5090

Jakobi_82 =

 

0

Jakobi_83 =

-1.2500

Jakobi_84 =

-3.7590

Jakobi_85 =

-7.5280

Jakobi_86 =

0

 

Jakobi_87 =

-3.7600

Jakobi_88 =

11.2880

Jakobian =

Columns 1 through 6

19.5534 -5.0190 -2.2290 -7.5280 21 21.1055 -5.0190 -21.0122 30.0210

1.6730

0 -1.6730 32 32.8518

-2.2 -2.229 290 0 -30. -30.02 0210 10 36.0 36.010 100 0 -3 -3.7 .760 600 0 -2 -2.7 .725 250 0 -1 -10. 0.00 0000 00 -7.5280

0 -3.7600 11.2880 -2 -2.5090

0

6.4735 -1.6730 -1.6730 -2.7250 -2.5090 -2.5090 19.0126 -5.0190 -1.6730

6.9978 10.0000

0 -5.0190 98.6202

-2.7250 -10.0000 -13.9750 -1.2500 -2.2290 -30.0210 -2.5090

0 -1.2500 -3.7590 -7.5280

0

 

Columns 7 through 8

2.7250 30.0210

2.5090 0

13 13.9 .975 750 0 -1.2 -1.250 500 0 -1.2500

3.7590

-2.2 -2.229 290 0 -7. -7.52 5280 80 30.0210

0

36 36.0 .010 100 0 -3.7 -3.760 600 0 -3.7 -3.760 600 0 11 11.2 .288 880 0

Inverse_Jakobian =

Columns 1 through 6

0.0685 -0.0659

0.0447

0.0115 -0.1004

0.0205

0.0028

0.3330 -0.2801 -0.1476 -0.1124 -0.1616

0.0065

0.2188 -0.1596 -0.0903 -0.0789 -0.1071

0.0383

0.0232 -0.0187

-0.0055

0.1424 -0.1087 -0.0271

-0.0030 -0.0798 0.0099

0.0629

0.0618 -0.0746 -0.0176

0.0334

0.0404 -0.0625 0.0310

0.0472

0.1318 -0.1039 -0.0491 -0.0483 -0.0577

 

0.028 0.0 283 3

0.1561 0.1561 -0.12 -0.1211 11 -0.02 -0.0213 13 -0.04 -0.0450 50 -0.074 -0.0741 1

Columns 7 through 8

0.00 0.0011 11 -0.0 -0.080 807 7 -0. -0.05 0543 43 -0. -0.07 0756 56 -0. -0.04 0456 56 -0. -0.05 0568 68 -0. -0.01 0116 16 -0. -0.08 0848 48 -0.0205

0.0183

0.0081

0.0199

-0. -0.00 0022 22 -0. -0.03 0303 03 -0.0231

0.0383

 Nilai_Koreksi_Vektor_Tegangan =

-1.1874 2.7433 1.7507 -0.3118 1.0706 -1.1225 0.5801

 

1.0575

Iterasi 1

Vektor_Tegangan_Baru =

-1.1874 2.7433 1.7507 -0.3118 2.0706 -0.1225 1.5801 2.0575

delta2 =

-1.1874

delta3 =

 

2.7433

delta4 =

1.7507

delta5 =

-0.3118

V2 =

2.0706

V3 =

-0.1225

 

V4 =

1.5801

V5 =

2.0575

Perhitungan Power Mismatch dengan estimasi awal

P2h =

-6.7338

P3h =

4.2659

P4h =

 

63.7126

P5h =

24.8382

2h =

55.1991

3h =

-5.7988

4h =

98.9906

 

5h =

12.4737

Menghitung Perbedaan Daya

P2d =

0.2000

P3d =

-0.4500

P4d =

-0.4000

P5d =

 

-0.6000

2d =

0.2000

3d =

-0.1500

4d =

-0.0500

5d =

-0.1000

Maka perbedaan daya diperoleh

 

P2 =

6.9338

P3 =

-4.7159

P4 =

-64.1126

P5 =

-25.4382

2 =

 

-54.9991

3 =

5.6488

4 =

-99.0406

5 =

-12.5737

Vektor_Power_Mismatch =

6.9338 -4.7159 -64.1126

 

-25.4382 -54.9991 5.6488 -99.0406 -12.5737

Jakobi_11 =

27.4760

Jakobi_12 =

-1.1977

Jakobi_13 =

5.3412

Jakobi_14 =

 

-28.7517

Jakobi_15 =

11.8966

Jakobi_16 =

4.9352

Jakobi_17 =

-6.4585

Jakobi_18 =

-8.6423

 

Jakobi_21 =

-1.1977

Jakobi_22 =

6.3808

Jakobi_23 =

-4.7958

Jakobi_24 =

0

Jakobi_25 =

 

0.2919

Jakobi_26 =

-36.4153

Jakobi_27 =

-3.0351

Jakobi_28 =

0

Jakobi_31 =

5.3412

 

Jakobi_32 =

1.5548

Jakobi_33 =

-9.0858

Jakobi_34 =

2.1899

Jakobi_35 =

4.9285

Jakobi_36 =

-48.3594

 

Jakobi_37 =

62.4039

Jakobi_38 =

6.1697

Jakobi_41 =

-28.7517

Jakobi_42 =

0

Jakobi_43 =

 

9.3543

Jakobi_44 =

19.3975

Jakobi_45 =

8.5875

Jakobi_46 =

0

Jakobi_47 =

-5.6050

 

Jakobi_48 =

19.8062

Jakobi_51 =

-38.1008

Jakobi_52 =

0.6044

Jakobi_53 =

10.2050

Jakobi_54 =

 

17.7815

Jakobi_55 =

66.5860

Jakobi_56 =

9.7799

Jakobi_57 =

3.3803

Jakobi_58 =

-13.9741

 

Jakobi_61 =

0.6044

Jakobi_62 =

4.0720

Jakobi_63 =

3.8071

Jakobi_64 =

0

Jakobi_65 =

-0.5784

 

Jakobi_66 =

42.5963

Jakobi_67 =

-3.0351

Jakobi_68 =

0

Jakobi_71 =

10.2050

Jakobi_72 =

 

5.9225

Jakobi_73 =

28.8217

Jakobi_74 =

12.6942

Jakobi_75 =

2.5795

Jakobi_76 =

-12.6957

 

Jakobi_77 =

119.5478

Jakobi_78 =

1.0643

Jakobi_81 =

17.7815

Jakobi_82 =

0

Jakobi_83 =

 

-8.8564

Jakobi_84 =

8.9252

Jakobi_85 =

-13.8856

Jakobi_86 =

0

Jakobi_87 =

5.9201

 

Jakobi_88 =

37.0226

Jakobian =

Columns 1 through 6

27.4760 -1.1977

5.3412 -28.7517 11 11.8966

-1.1977

6.3808 -4.7958

0

5.3412

1.5548 -9.0858

2.1899

-28.7517 -38. -38.10 1008 08

0

9.3543 19.3975

0.2919 -36.4153 4.9285 -48 -48.3594 8.5875

0.60 0.6044 44 10.2 10.205 050 0 17.7 17.781 815 5 66. 66.58 5860 60

0.6044

4.0720

10.2 10.205 050 0

5.92 5.9225 25 28.82 28.8217 17 12.69 12.6942 42

17.7815

3.8071

0 -8 -8.8564

Columns 7 through 8

-6.4 -6.45 585 -8.6 -8.642 423 3 -3.0351

0

62.4039

6.1697

4.9352

0 9. 9.77 7799 99

0 -0.5784 42 4 2.5963 2.57 2.5795 95 -1 -12. 2.69 6957 57

8.9252 -13.8856

0

 

-5.6050 19.8062 3.3803 -13.9741 -3.0351

119.5478

0

1.0643

5.9201 37.0226

Inverse_Jakobian =

Columns 1 through 6

-0.0058

0.0121 -0.0365 -0.0430

0.0024

0.0977

0.0155

0.0105 -0.0365

-0.0399

0.0121 -0.0501 -0.0519

0.0238 -0.0419

0.0092

0.0027

0.0003 -0.0064

0.0166 -0.0026

-0.0014 -0.0112

0.0049 -0.0010

0.0002

0.0188

0.0004 -0.0109

0.0175

0.0044 -0.0031

0.0112

0.0195 -0.0035

0.0182

0.0344 -0.0073

0.0151

0.0018

Columns 7 through 8

0.0142

0.0331

0.0153 -0.0297

0.0023 -0.0010

0.0867

0.0182 -0.0039 -0.0272

 

0.00 0.0041 41 -0.0 -0.001 014 4 0.02 0.0205 05 -0.0 -0.002 021 1 0.0184

0.0353

-0.0010

0.0118

-0. -0.00 0024 24 -0. -0.00 0004 04 -0. -0.00 0001 01 -0. -0.00 0064 64 -0.0067

0.0076

 Nilai_Koreksi_Vektor_Tegangan =

0.5027 -0.4584 -0.0096 0.3919 -0.7839 0.0987 -0.8531 -0.8354

Iterasi 2

Vektor_Tegangan_Baru =

 

0.5027 -0.4584

-0.0096 0.3919 0.2161 1.0987 0.1469 0.1646

delta2 =

0.5027

delta3 =

-0.4584

delta4 =

 

-0.0096

delta5 =

0.3919

V2 =

0.2161

V3 =

1.0987

V4 =

0.1469

 

V5 =

0.1646

Perhitungan Power Mismatch dengan estimasi awal

P2h =

2.1901

P3h =

14.7073

P4h =

0.7763

P5h =

 

-0.0088

2h =

-0.6814

3h =

46.8675

4h =

-4.3793

5h =

-0.1478

Menghitung Perbedaan Daya

 

P2d =

0.2000

P3d =

-0.4500

P4d =

-0.4000

P5d =

-0.6000

2d =

 

0.2000

3d =

-0.1500

4d =

-0.0500

5d =

-0.1000

Maka perbedaan daya diperoleh

P2 =

-1.9901

 

P3 =

-15.1573

P4 =

-1.1763

P5 =

-0.5912

2 =

0.8814

3 =

 

-47.0175

4 =

4.3293

5 =

0.0478

Vektor_Power_Mismatch =

-1.9901 -15.1573 -1.1763 -0.5912 0.8814 -47.0175 4.3293 0.0478

 

Jakobi_11 =

1.5821

Jakobi_12 =

-0.3567

Jakobi_13 =

-0.0193

Jakobi_14 =

-0.2562

Jakobi_15 =

 

11.7145

Jakobi_16 =

1.0964

Jakobi_17 =

0.7495

Jakobi_18 =

0.7188

Jakobi_21 =

-0.3567

 

Jakobi_22 =

-0.0231

Jakobi_23 =

3.6646

Jakobi_24 =

0

Jakobi_25 =

-5.5736

Jakobi_26 =

 

27.5890

Jakobi_27 =

24.9506

Jakobi_28 =

0

Jakobi_31 =

-0.0193

Jakobi_32 =

-5.0650

 

Jakobi_33 =

5.1562

Jakobi_34 =

-0.0718

Jakobi_35 =

-0.5093

Jakobi_36 =

0.5899

Jakobi_37 =

7.3377

 

Jakobi_38 =

-0.3848

Jakobi_41 =

-0.2562

Jakobi_42 =

0

Jakobi_43 =

-0.0955

Jakobi_44 =

 

0.3517

Jakobi_45 =

-0.5473

Jakobi_46 =

0

Jakobi_47 =

0.0525

Jakobi_48 =

0.5652

 

Jakobi_51 =

1.8484

Jakobi_52 =

-1.2046

Jakobi_53 =

-0.1101

Jakobi_54 =

-0.1183

Jakobi_55 =

 

1.0148

Jakobi_56 =

-0.3246

Jakobi_57 =

-0.1312

Jakobi_58 =

-1.5571

Jakobi_61 =

-1.2046

 

Jakobi_62 =

-0.8982

Jakobi_63 =

3.5560

Jakobi_64 =

0

Jakobi_65 =

-1.6504

Jakobi_66 =

85.2912

 

Jakobi_67 =

24.9506

Jakobi_68 =

0

Jakobi_71 =

-0.1101

Jakobi_72 =

0.6482

Jakobi_73 =

 

0.4748

Jakobi_74 =

-0.0633

Jakobi_75 =

-0.0891

Jakobi_76 =

-4.6099

Jakobi_77 =

-24.5279

 

Jakobi_78 =

-0.4366

Jakobi_81 =

-0.1183

Jakobi_82 =

0

Jakobi_83 =

0.0077

Jakobi_84 =

 

-0.1106

Jakobi_85 =

-1.1856

Jakobi_86 =

0

Jakobi_87 =

-0.6499

Jakobi_88 =

1.5781

 

Jakobian =

Columns 1 through 6

1.5821 -0.3567 -0.0193 -0.2562 11.7145 -0.3567 -0.0231

3.6646

-0.0193 -5.0650

5.1562 -0.0718 -0.5093

-0.2562

0 -0.0955

1.0964

0 -5.5736 27 27.5890

0.3517 -0.5473

1.848 1.8 484 4 -1.2046 -1.2046 -0.1101 -0.1101 -0.11 -0.1183 83

0.5899 0

1.0148 1.0148 -0.324 -0.3246 6

-1.2046 -0.8982

3.5560

-0.1 -0.110 101 1

0.64 0.6482 82

0.47 0.4748 48 -0 -0.0 .063 633 3 -0 -0.0 .089 891 1 -4 -4.6 .609 099 9

-0.1183

0

0.0077 -0.1106 -1.1856

Columns 7 through 8

0.7495 24.9506

0.7188 0

7.3 7.337 377 7 -0.3 -0.384 848 8 0.0525

0.5652

-0.1 -0.131 312 2 -1.5 -1.557 571 1 24.9506

0

-24. -24.52 5279 79 -0.4 -0.436 366 6 -0.6499

0 -1.6504 85.2912

1.5781

0

 

Inverse_Jakobian =

Columns 1 through 6

0.1011

0.2249 -0.1084

0.3664

0.1051

0.2670 -0.1509

0.0015 -0.0904 -0.0787

0.1134

0.2492

0.0744 -0.0787 -0.0718

0.1044

0.1709 -0.0429

0.0730 -0.0192

0.0481

2.7829

0.5356 -0.0647

0.2574 -0.0478

0.0100 -0.0014 -0.0702

-0.0017 -0.0082 -0.0045

0.0056

0.0111

0.0046 0.0147

0.0030

0.0117 -0.0016 -0.0122 -0.0089 -0.0057

0.0705

0.0180 -0.0045

Columns 7 through 8

0.1221

0.3585

0.15 0.1536 36 -0.1 -0.131 319 9 0.20 0.2012 12 -0.0 -0.088 885 5 0.14 0.1404 04 -0.7 -0.761 619 9 -0. -0.00 0066 66 -0. -0.10 1014 14 0.0049

0.0100

0.2160

0.0022 -0.0068

 

-0.0346 -0.0157 -0.0012

0.5250

 Nilai_Koreksi_Vektor_Tegangan =

0.3588 0.2004 0.0711

-1.3492 -0.1757 -0.5318 -0.0639 -0.1961

Iterasi 3

Vektor_Tegangan_Baru =

0.3588 0.2004 0.0711 -1.3492

 

0.8243 0.4682 0.9361 0.8039

delta2 =

0.3588

delta3 =

0.2004

delta4 =

0.0711

delta5 =

 

-1.3492

V2 =

0.8243

V3 =

0.4682

V4 =

0.9361

V5 =

0.8039

Perhitungan Power Mismatch dengan estimasi awal

 

P2h =

14.1800

P3h =

4.3025

P4h =

6.3547

P5h =

-5.2234

2h =

 

8.7539

3h =

18.3566

4h =

16.6649

5h =

7.7012

Menghitung Perbedaan Daya

P2d =

0.2000

 

P3d =

-0.4500

P4d =

-0.4000

P5d =

-0.6000

2d =

0.2000

3d =

 

-0.1500

4d =

-0.0500

5d =

-0.1000

Maka perbedaan daya diperoleh

P2 =

-13.9800

P3 =

-4.7525

 

P4 =

-6.7547

P5 =

4.6234

2 =

-8.5539

3 =

-18.5066

4 =

 

-16.7149

5 =

-7.8012

Vektor_Power_Mismatch =

-13.9800 -4.7525 -6.7547 4.6234 -8.5539

-18.5066 -16.7149 -7.8012

Jakobi_11 =

4.3470

 

Jakobi_12 =

-1.8111

Jakobi_13 =

-1.0526

Jakobi_14 =

2.3293

Jakobi_15 =

23.2336

Jakobi_16 =

 

2.0140

Jakobi_17 =

2.6751

Jakobi_18 =

5.8638

Jakobi_21 =

-1.8111

Jakobi_22 =

-9.8487

 

Jakobi_23 =

13.6145

Jakobi_24 =

0

Jakobi_25 =

-1.1441

Jakobi_26 =

15.2415

Jakobi_27 =

 

14.5438

Jakobi_28 =

0

Jakobi_31 =

-1.0526

Jakobi_32 =

-12.4837

Jakobi_33 =

14.8906

 

Jakobi_34 =

-1.3543

Jakobi_35 =

-3.0381

Jakobi_36 =

-12.9080

Jakobi_37 =

19.8706

Jakobi_38 =

3.3046

 

Jakobi_41 =

2.3293

Jakobi_42 =

0

Jakobi_43 =

0.5059

Jakobi_44 =

-2.8352

Jakobi_45 =

 

-5.7193

Jakobi_46 =

0

Jakobi_47 =

-3.1393

Jakobi_48 =

-3.4752

Jakobi_51 =

9.2095

 

Jakobi_52 =

-0.9430

Jakobi_53 =

-2.5042

Jakobi_54 =

-4.7142

Jakobi_55 =

26.5145

Jakobi_56 =

 

-3.8678

Jakobi_57 =

-1.1245

Jakobi_58 =

2.8973

Jakobi_61 =

-0.9430

Jakobi_62 =

1.4682

 

Jakobi_63 =

2.6492

Jakobi_64 =

0

Jakobi_65 =

-2.1972

Jakobi_66 =

57.3729

Jakobi_67 =

14.5438

 

Jakobi_68 =

0

Jakobi_71 =

-2.5042

Jakobi_72 =

-6.0441

Jakobi_73 =

-5.8916

Jakobi_74 =

 

2.6567

Jakobi_75 =

-1.2771

Jakobi_76 =

-26.6606

Jakobi_77 =

51.5116

Jakobi_78 =

-1.6846

 

Jakobi_81 =

-4.7142

Jakobi_82 =

0

Jakobi_83 =

-2.9388

Jakobi_84 =

-7.6530

Jakobi_85 =

 

2.8259

Jakobi_86 =

0

Jakobi_87 =

0.5404

Jakobi_88 =

21.6765

Jakobian =

Columns 1 through 6

4.34 4.3470 70 -1.8 -1.811 111 1 -1 -1.0 .052 526 6

2.32 2.3293 93 23.2 23.233 336 6

2.01 2.0140 40

 

-1.8 -1.81 111 -9.8 -9.848 487 7 13.6 3.6145

0 -1.1 -1.14 441 15.24 5.2415 15

-1.0526 -12.4837 14.8906 -1.3543 -3.0381 -12.9080 2.3293

0

0.5059 -2.8352 -5.7193

0

9.20 9.2095 95 -0.9 -0.943 430 0 -2 -2.5 .50 042 -4 -4.7 .71 142 26.51 6.5145 45 -3.8 -3.867 678 8 -0.9430

1.4682

2.6492

-2.5042 -6.0441 -5.8916 -4.7142

0 -2.9388

Columns 7 through 8

2.6751

5.8638

14.5438

0

19.8706

3.3046

-3.1 -3.139 393 3 -3.4 -3.475 752 2 -1.1245

2.8973

14.5438

0

51 51.5 .51 116 -1.6 -1.684 846 6 0.54 0.5404 04 21 21.6 .676 765 5

Inverse_Jakobian =

Columns 1 through 6

0 -2.1972 57 57.3729 2.6567 -1. -1.2771 -26.6606

-7.6530

2.8259

0

 

0.2239 -0.2101

0.1567

0.3276 -0.1097

-0.2876 -0.4160

0.3315 -0.5258

0.1788

0.1739

-0.1725 -0.2228

0.2342 -0.3285

0.1090

0.0962

0.2133 -0.0823

0.0503

0.1203 -0.1553

0.0122

-0.0764

0.0367 -0.0231 -0.1482

0.0258

0.0353 -0.0319

0.0564 -0.0668

0.1115 -0.1081

0.0852

0.0352

0.0902 -0.0739

0.0326

-0. -0.01 0145 45 -0. -0.01 0184 84 -0. -0.07 0718 18 -0. -0.08 0865 65 -0. -0.06 0626 26 -0. -0.06 0611 11

-0. -0.00 0065 65 -0. -0.02 0258 58 -0. -0.00 0024 24 -0. -0.00 0093 93 0.0075

0.00 0.0046 46 -0.0 -0.012 122 2 -0.0137

0.0004

0.0274

Columns 7 through 8

0.0032

0.0718 -0.0086

0.0453 -0.0156

-0.0385 -0.0646

0.0691

0.0262

 Nilai_Koreksi_Vektor_Tegangan =

 

-1.6303 -1.5444 -0.8185 -0.9624 0.0226 -0.0905 -0.7128 -1.1504

Iterasi 4

Vektor_Tegangan_Baru =

-1.6303

-1.5444 -0.8185 -0.9624 1.0226 0.9095 0.2872

-0.1504

 

delta2 =

-1.6303

delta3 =

-1.5444

delta4 =

-0.8185

delta5 =

-0.9624

V2 =

 

1.0226

V3 =

0.9095

V4 =

0.2872

V5 =

-0.1504

Perhitungan Power Mismatch dengan estimasi awal

P2h =

4.4393

 

P3h =

13.0427

P4h =

4.3586

P5h =

-0.2523

2h =

16.2291

3h =

 

32.5582

4h =

-5.4911

5h =

1.4708

Menghitung Perbedaan Daya

P2d =

0.2000

P3d =

-0.4500

 

P4d =

-0.4000

P5d =

-0.6000

2d =

0.2000

3d =

-0.1500

4d =

 

-0.0500

5d =

-0.1000

Maka perbedaan daya diperoleh

P2 =

-4.2393

P3 =

-13.4927

P4 =

-4.7586

 

P5 =

-0.3477

2 =

-16.0291

3 =

-32.7082

4 =

5.4411

5 =

 

-1.5708

Vektor_Power_Mismatch =

-4.2393 -13.4927 -4.7586 -0.3477 -16.0291 -32.7082 5.4411 -1.5708

Jakobi_11 =

3.9346

Jakobi_12 =

-4.7842

 

Jakobi_13 =

-1.0311

Jakobi_14 =

1.1477

Jakobi_15 =

11.8225

Jakobi_16 =

1.2641

Jakobi 17 =

 

0.2639

Jakobi_18 =

-2.7533

Jakobi_21 =

-4.7842

Jakobi_22 =

-0.4591

Jakobi_23 =

4.1306

 

Jakobi_24 =

0

Jakobi_25 =

-1.1243

Jakobi_26 =

26.0976

Jakobi_27 =

14.3834

Jakobi_28 =

 

0

Jakobi_31 =

-1.0311

Jakobi_32 =

-7.5982

Jakobi_33 =

8.4609

Jakobi_34 =

0.1684

 

Jakobi_35 =

-0.0741

Jakobi_36 =

3.5752

Jakobi_37 =

19.1906

Jakobi_38 =

-0.2004

Jakobi_41 =

1.1477

 

Jakobi_42 =

0

Jakobi_43 =

0.1529

Jakobi_44 =

-1.3006

Jakobi_45 =

-0.4048

Jakobi_46

 

0

Jakobi_47 =

0.2671

Jakobi_48 =

1.1128

Jakobi_51 =

-3.2108

Jakobi_52 =

-1.1497

 

Jakobi_53 =

-0.0758

Jakobi_54 =

-0.4140

Jakobi_55 =

35.5892

Jakobi_56 =

-5.2602

Jakobi_57 =

 

-3.5903

Jakobi_58 =

-7.6329

Jakobi_61 =

-1.1497

Jakobi_62 =

2.3494

Jakobi_63 =

7.1586

 

Jakobi_64 =

0

Jakobi_65 =

-4.6786

Jakobi_66 =

71.0901

Jakobi_67 =

14.3834

Jakobi_68 =

0

 

Jakobi_71 =

-0.0758

Jakobi_72 =

3.2517

Jakobi_73 =

3.2060

Jakobi_74 =

0.0301

Jakobi_75 =

 

-1.0083

Jakobi_76 =

-8.3542

Jakobi_77 =

-8.7798

Jakobi_78 =

-1.1201

Jakobi_81 =

-0.4140

 

Jakobi_82 =

0

Jakobi_83 =

0.0767

Jakobi_84 =

-0.3373

Jakobi_85 =

1.1223

Jakobi_86 =

 

0

Jakobi_87 =

0.5325

Jakobi_88 =

-12.0445

Jakobian =

Columns 1 through 6

3.9346 -4.7842 -1.0311 -4.7842 -0.4591

4.1306

-1.0311 -7.5982

8.4609

1.1477

0

1.1477 1 11 1.8225

1.2641

0 -1.1243 26 26.0976 0.1684 --0 0.0741

0.1529 -1.3006 -0.4048

-3.2108 -1.1497 -0.0758 -0.4140 35.5892

3.5752 0 -5.2602

-1.1497

2.3494

7.1586

0 -4.6786 71 71.0901

-0.0758

3.2517

3.2060

0.0301 -1.0083 -8.3542

-0.4140

0

 

0.0767 -0.3373

1.1223

0

Columns 7 through 8

0.26 0.2639 39 -2.7 -2.753 533 3 14.3834

0

19 19.1 .19 906 -0.2 -0.200 004 4 0.2671

1.1128

-3.5 -3.590 903 3 -7. -7.63 6329 29 14.3834

0

-8.7 -8.779 798 8 -1. -1.12 1201 01 0.5325 -12.0445

Inverse_Jakobian =

Columns 1 through 6

-45.9693 -67.7233 -67.7233 22.9667 -43.0343 -43.0343 14.5644 21.6072 -70.8837 -104.0529 35.2798 -66.3696 22.4583 33.2023 0.65 0.6512 12

0.93 0.9360 60 -0 -0.2 .262 629 9

0.62 0.6228 28 -0 -0.1 .199 998 8 -0 -0.2 .284 849 9

-43.7566 -64.4324 -64.4324 21.8633 -41.7119 -41.7119 13.8570 20.5569

 

-8.9435 -13.1509

4.4613 -8.3776

7.387 7.3 876 6 10.84 10.8416 16 -3.68 -3.6873 73

2.8622

4.1973

6.9154 6.9154 -2.338 -2.3388 8 -3.44 -3.4449 49

-31.8432 -46.7458 -46.7458 15.8798 -29.8136 -29.8136 10.0859 14.9073 0.56 0.5682 82

0.84 0.8457 57 -0 -0.2 .285 855 5

0.55 0.5523 23 -0 -0.1 .177 772 2 -0 -0.2 .269 699 9

Columns 7 through 8

-33.9911

0.0815

-52.2833

0.1146

0.6113 -0.0172 -32.3404

0.0111

-6.6 -6.611 111 1 -0.0 -0.00 028 5.4459 -0.0128 -23.5485

0.0587

0.4206 -0.0839

 Nilai_Koreksi_Vektor_Tegangan =

-110.9389 -170.9798 1.5196

-105.1459

 

-22.0923 17.3597 -76.9570 1.4363

Iterasi 5

Vektor_Tegangan_Baru =

-110.9389 -170.9798 1.5196 -105.1459 -21.0923 18.3597 -75.9570 2.4363

delta2 =

-110.9389

 

delta3 =

-170.9798

delta4 =

1.5196

delta5 =

-105.1459

V2 =

-21.0923

V3 =

 

18.3597

V4 =

-75.9570

V5 =

2.4363

Perhitungan Power Mismatch dengan estimasi awal

P2h =

9.7801e+03

P3h =

4.4757e+03

 

P4h =

5.0057e+04

P5h =

443.8985

2h =

6.9445e+03

3h =

5.5586e+04

4h =

 

1.7197e+05

5h =

1.0477e+03

Menghitung Perbedaan Daya

P2d =

0.2000

P3d =

-0.4500

P4d =

-0.4000

 

P5d =

-0.6000

2d =

0.2000

3d =

-0.1500

4d =

-0.0500

5d =

 

-0.1000

Maka perbedaan daya diperoleh

P2 =

-9.7799e+03

P3 =

-4.4761e+03

P4 =

-5.0057e+04

P5 =

-444.4985

 

2 =

-6.9443e+03

3 =

-5.5586e+04

4 =

-1.7197e+05

5 =

-1.0478e+03

Vektor_Power_Mismatch =

 

1.0e+05 *

-0.0978 -0.0448 -0.5006 -0.0044 -0.0694 -0.5559 -1.7197 -0.0105

Jakobi_11 =

1.6343e+03

Jakobi_12 =

-1.6028e+03

Jakobi_13 =

 

-263.7937

Jakobi_14 =

280.5957

Jakobi_15 =

-617.9933

Jakobi_16 =

69.5031

Jakobi_17 =

-74.1748

 

Jakobi_18 =

-121.4413

Jakobi_21 =

-1.6028e+03

Jakobi_22 =

-4.2506e+04

Jakobi_23 =

4.4103e+04

Jakobi_24 =

 

0

Jakobi_25 =

60.4984

Jakobi_26 =

481.1124

Jakobi_27 =

-580.6260

Jakobi_28 =

0

 

Jakobi_31 =

-263.7937

Jakobi_32 =

-3.6175e+04

Jakobi_33 =

3.5785e+04

Jakobi_34 =

653.8740

Jakobi_35 =

267.1155

 

Jakobi_36 =

-1.3764e+03

Jakobi_37 =

-1.7205e+03

Jakobi_38 =

136.1965

Jakobi_41 =

280.5957

Jakobi_42 =

 

0

Jakobi_43 =

722.3909

Jakobi_44 =

-1.0030e+03

Jakobi_45 =

-14.0273

Jakobi_46 =

0

 

Jakobi_47 =

-1.6551

Jakobi_48 =

191.3593

Jakobi_51 =

6.5253e+03

Jakobi_52 =

-1.2761e+03

Jakobi_53 =

 

-5.6341e+03

Jakobi_54 =

295.8685

Jakobi_55 =

-735.9661

Jakobi_56 =

-87.3006

Jakobi_57 =

3.4729

 

Jakobi_58 =

115.1725

Jakobi_61 =

-1.2761e+03

Jakobi_62 =

118.2709

Jakobi_63 =

1.4713e+03

Jakobi_64 =

0

 

Jakobi_65 =

75.9901

Jakobi_66 =

3.7401e+03

Jakobi_67 =

-580.6260

Jakobi_68 =

0

Jakobi_71 =

 

-5.6341e+03

Jakobi_72 =

-2.5269e+04

Jakobi_73 =

-3.0572e+04

Jakobi_74 =

331.8168

Jakobi_75 =

12.5066

 

Jakobi_76 =

-1.9704e+03

Jakobi_77 =

-4.9993e+03

Jakobi_78 =

268.3872

Jakobi_81 =

295.8685

Jakobi_82 =

 

0

Jakobi_83 =

125.7181

Jakobi_84 =

421.5866

Jakobi_85 =

-13.3032

Jakobi_86 =

0

 

Jakobi_87 =

-9.5105

Jakobi_88 =

466.6850

Jakobian =

1.0e+04 *

Columns 1 through 6

0.1634 -0.1603 -0.0264

0.0281 -0.0618

-0.1603 -4.2506

4.4103

0

-0.0264 -3.6175

3.5785

0.0654

0.0281

0

0.0118

0.1471

0.0481

0.0267 -0.1376

0.0722 -0.1003 -0.0014

0.6525 -0.1276 -0.5634 -0.1276

0.0060

0.0070

0

0.0296 --0 0.0736 -0.0087 0

0.0076

0.3740

-0.5634 -2.5269 -3.0572

0.0332

0.0013 -0. -0.1970

 

0.0296

0

0.0126

0.0422 -0.0013

0

Columns 7 through 8

-0. -0.00 0074 74 -0. -0.01 0121 21 -0.0581

0

-0.1721

0.0136

-0.0002

0.0191

0.0003

0.0115

-0.0581

0

-0.4999

0.0268

-0.0010

0.0467

Inverse_Jakobian =

Columns 1 through 6

-0.0002 -0.0000

0.0001 -0.0000

0.0002

0.0000

0.0001 -0.0001

0.0001

0.0000 -0.0000

0.0000

0.0001 -0.0000

0.0001

0.0000 -0.0000

0.0000

0.0000 -0.0000

0.0000 -0.0008

0.0000

0.0000

-0.0023 -0.0000

0.0001 -0.0006

0.0006

0.0001

-0.0001

0.0001 -0.0001 -0.0001

0.0001

0.0002

-0.0005

0.0006 -0.0007 -0.0004

0.0002 -0.0003

0.0000

0.0001 -0.0001

 

0.0007 -0.0001 -0.0000

Columns 7 through 8

-0. -0.00 0000 00 -0. -0.00 0001 01 -0.0000

0.0000

-0.0000

0.0000

-0.0000

0.0003

-0. -0.00 0000 00 -0. -0.00 0005 05 0.0000

0.0000

0.0000

0.0002

0.0000

0.0019

 Nilai_Koreksi_Vektor_Tegangan =

-0.9602 -1.3978 -0.7589 -0.5284

10.0980

 

-7.2800 50.0658 0.3535

>>