SHORT CIRCUIT FORCE FOR EQUIPMENT 

ABB LIMITED 

2x150MW COAL BASED THERMAL POWER PROJECT  M/S SHREE CEMENT LTD.,  BEAWAR, RAJASTHAN (INDIA)  SHORT CIRCUIT FORCE FOR EQUIPMENT                  INTERCONNECTION 

Doc No.  3VYN291401A.R0 Sheet 1 of 17 

SHORT CIRCUIT FORCE FOR   EQUIPMENT INTERCONNECTION 

 

OWNER 

M/S SHREE CEMENT LTD. 

OWNER’S ENGINEER 

Evonik Energy Services (I) Pvt. Ltd.,  Noida 

EPC CONTRACTOR 

Cethar Vessels Limited,   Tiruchirapalli 

eBOP CONTRACTOR 

ABB Limited, Faridabad 

R0 

  21.04.2010   

 

 

RK/RM 

 

Rev  No. 

Date 

Prepared  by 

Reviewed  by 

Approved  by 

Remarks 

We reserve all rights in this document and in the information therein. Reproduction, use or disclosure to third parties without express authority is strictly forbidden. © ABB eBoP.

ABB LIMITED 

2x150MW COAL BASED THERMAL POWER PROJECT  M/S SHREE CEMENT LTD.,  BEAWAR, RAJASTHAN (INDIA)  SHORT CIRCUIT FORCE FOR EQUIPMENT                  INTERCONNECTION 

Doc No.  3VYN291401A.R0 Sheet 2 of 17 

REVISION STATUS SHEET     

  REV. NO. 

  DATE 

DESCRIPTION   

 

R0 

  21.04.2010 

FOR APPROVAL 

 

   

 

We reserve all rights in this document and in the information therein. Reproduction, use or disclosure to third parties without express authority is strictly forbidden. © ABB eBoP.

e-BOP:ABB LIMITED - Faridabad

CUSTOMER: (2x150 MW) M/S SHREE CEMENT LTD.,

Short Circuit Force Calculation (For Equipments)

I System Data: 1.1 Nominal System voltage in kV 1.2 System short circuit current in A 1.3 Factor for peak short circuit current 1.4 Phase spacing in m

= (I"k3) = (κ)

=

(a m) =

1.5 System frequency in Hz

(f)

=

1.6 Auto Reclosing Feature

400 40000 1.81 7 50 YES

II Conductor data: 2 1 Busbar selected 2.1

=

4" IPS (Schedule 80) Al 4

2.2 Outer diameter

(Do)

=

114.3

mm

2.3 Inner Diameter

(Di)

=

97.18

mm

2.4 Area of Cross section

(A)

=

2844

sq.mm

2.5 Moment of inertia

(J)

=

4.00E-06

m^4

2.6 Weight

(m')

=

7.678

kg/m

2.7 Young's Modulus

(E)

=

6.57E+10 N/ sq.m

III Reference 3.1 IEC 865 -1(1993): short circuit current calculation effects

Short Circuit Force For Equipment Interconnection

Page 3 of 17

3VYN291401A-R0

e-BOP:ABB LIMITED - Faridabad

CUSTOMER: (2x150 MW) M/S SHREE CEMENT LTD.,

IV Legend:

Symbol

Unit

4.1 Initial symmetrical short circuit current (r.m.s)

I"k3

Amps

4.2 Peak short circuit current

Ip3

Amps

4.3 Effective distance between main conductors

am

m

4.4 Span between supports

l

m

4.5 Outer Diameter of the conductor

Do

m

4.6 Absolute permeability of vacuum

µo

4.7 Ratio of dynamic and static force on support (As per equation in page no. 107 of IEC 865 -1(1993))

VF

4.8 Ratio of stress for a main conductor with or with out three phase auto reclosing (As per equation in page no. 109 of IEC 865 -1(1993))

Vr

4.9 Factor for force on support (from table 3 of pg. 67 of IEC 865-1(1993))

a

4.10 Factor for relevant natural frequency estimation (From table 3 of pg. 67 of IEC 865-1, 1993)

γ

4.11 Natural frequency of the tube

fc

Hz

4.12 Electromagnetic force

Fm

kg

4.13 Total static weight of bus

M

kg

4.14 Reaction due to electrodynamic force

Fd

kg

4.15 Youngs Modulus of conductor

E

N/m²

4.16 Moment of Inertia of main conductor

J

m^4

Short Circuit Force For Equipment Interconnection

Page 4 of 17

3VYN291401A-R0

e-BOP:ABB LIMITED - Faridabad

V

CUSTOMER: (2x150 MW) M/S SHREE CEMENT LTD.,

Formulae Used

5.1 Peak value of short circuit current (Ip3)

5.2

Electro magnetic force between conductors

= I"k3 x k

x Sqr(2)

Amps

(Fm)

= µ x Sqr(3) x ( Ip3) ² x l 2x 2 p x 9.81 x am

kg

5.3 Electro dynamic force on busbar

(Fd)

= Vf x Vr x a x Fm

kg

5.4 Natural Frequency of the tube

(fc)

=

5.5 Calculation of VF As per IEC 865-I (Page-107) fc/f 6

γ x l ²

Sqr ( E J /m') Hz

VF 0.232+3.52*EXP(-1.45*k)+0.166*LOG10(fc/f) MAX(0.839+3.52*EXP(-1.45*k)+0.6*LOG10(fc/f),2.38+6*LOG10(fc/f)) 1.8 1.23+7.2*LOG10(fc/f) 2.7 8.59-15.5*LOG10(fc/f) 8.59-15.5*LOG10(fc/f) 1.5-0.646*LOG(fc/f) 1

5.6 Calculation of Vr fc/f 0.05 and =1

Short Circuit Force For Equipment Interconnection

Vr 1.8 1-0.615Log(fc/f) 1

Page 5 of 17

3VYN291401A-R0

e-BOP:ABB LIMITED - Faridabad

CUSTOMER: (2x150 MW) M/S SHREE CEMENT LTD.,

TYPICAL SHORT CIRCUIT FORCE CALCULATION FOR 400kV ISOLATOR

VI Support Arrangement Refer Figure 1 6.1 Equipment Dimension (Terminal to Terminal) in m

4.8 m Left 9

Right 10.5

4.821

0

6.4 Support type for Equipment

FIXED

SIMPLE

6.5 Support type for other equipment

SIMPLE

FIXED

6.2 Support Span in Metre

(L)

=

6.3 Equipment Dimension (Terminal to Terminal) in m

VII Calculation 7.1 Peak short circuit current

Ip3

=

102389

A

7.2 Factor a at Support A

Left 0.625

Right 0.375

7.3 Factor a at Support B

0.375

0.625

7.4 Factor b

0.73

0.73

7.5 Factor γ

2.45

2.45

7.6 Effective Distance (mts)

l

=

4.19

8.1

Fm

=

110.79

214.18

fc

=

25.824

6.9099

fc / f

=

0.5165

0.1382

7.10 Ratio of dynamic & Static force on supports

VF =

1.0128

0.6692

7.11 Ratio of stress for main conductor with & without 3 phase Auto reclosing

VR =

1.1765

1.5286

0.625

0.375

82.505

82.164

7.7 Electromagnetic forces between conductors 7.8 Natural frequency of the Tube (Hz) 7.9 Ratio

7.12 Factor a 7.13 Dynamic force (Bending Force) (kg) 7.14 Total Dynamic force due to Left & Right spans

Short Circuit Force For Equipment Interconnection

Page 6 of 17

Fd = =

164.67 kg

3VYN291401A-R0

e-BOP:ABB LIMITED - Faridabad

Short Circuit Force For Equipment Interconnection

CUSTOMER: (2x150 MW) M/S SHREE CEMENT LTD.,

Page 7 of 17

3VYN291401A-R0

e-BOP:ABB LIMITED - Faridabad

CUSTOMER: (2x150 MW) M/S SHREE CEMENT LTD.,

TYPICAL SHORT CIRCUIT FORCE CALCULATION FOR 400kV CIRCUIT BREAKER

VI Support Arrangement Refer Figure 2 6.1 Equipment Dimension (Terminal to Terminal) in m

6.2 Support Span in Metre

4.821 m

(L)

=

6.3 Equipment Dimension (Terminal to Terminal) in m 6.4 Support type for Equipment 6.5 Support type for other equipment

Left 12

Right 9

0.55

4.8

SIMPLE

SIMPLE

FIXED

FIXED

102389

A

VII Calculation 7.1 Peak short circuit current

Ip3

=

7.2 Factor a at Support A

Left 0.375

Right 0.375

7.3 Factor a at Support B

0.625

0.625

7.4 Factor b

0.73

0.73

7.5 Factor γ

2.45

2.45

7.6 Effective Distance (mts)

l

=

9.315

4.189

Fm

=

246.31

110.77

fc

=

5.2249

25.836

fc / f

=

0.1045

0.5167

7.10 Ratio of dynamic & Static force on supports

VF =

0.5964

1.0129

7.11 Ratio of stress for main conductor with & without 3 phase Auto reclosing

VR =

1.6032

1.1763

0.375

0.375

88.317

49.492

7.7 Electromagnetic forces between conductors 7.8 Natural frequency of the Tube (Hz) 7.9 Ratio

7.12 Factor a 7.13 Dynamic force (Bending Force)

Fd =

7.14 Total Dynamic force due to Left & Right spans

Short Circuit Force For Equipment Interconnection

Page 8 of 17

=

137.81 kg

3VYN291401A-R0

e-BOP:ABB LIMITED - Faridabad

Short Circuit Force For Equipment Interconnection

CUSTOMER: (2x150 MW) M/S SHREE CEMENT LTD.,

Page 9 of 17

3VYN291401A-R0

e-BOP:ABB LIMITED - Faridabad

CUSTOMER: (2x150 MW) M/S SHREE CEMENT LTD.,

TYPICAL SHORT CIRCUIT FORCE CALCULATION FOR 400kV CURRENT TRANSFORMER

VI Support Arrangement Refer Figure 3 6.1 Equipment Dimension (Terminal to Terminal) in m

6.2 Support Span in Metre

0.55 m

(L)

=

6.3 Equipment Dimension (Terminal to Terminal) in m 6.4 Support type for Equipment 6.5 Support type for other equipment

Left 12

Right 5.5

4.82

4.8

FIXED

SIMPLE

SIMPLE

FIXED

VII Calculation 7.1 Peak short circuit current

Ip3

=

102389

A

7.2 Factor a at Support A

Left 0.625

Right 0.375

7.3 Factor a at Support B

0.375

0.625

7.4 Factor b

0.73

0.73

7.5 Factor γ

2.45

2.45

7.6 Effective Distance (mts)

l

=

9.318

2.827

Fm

=

246.39

74.7526

fc

=

5.2215

56.7273

fc / f

=

0.1044

1.13455

7.10 Ratio of dynamic & Static force on supports

VF =

0.5962

1.8

7.11 Ratio of stress for main conductor with & without 3 phase Auto reclosing

VR =

1.6034

1

7.7 Electromagnetic forces between conductors 7.8 Natural frequency of the Tube (Hz) 7.9 Ratio

7.12 Factor a 7.13 Dynamic force (Bending Force) 7.14 Total Dynamic force due to Left & Right spans

Short Circuit Force For Equipment Interconnection

Page 10 of 17

Fd = =

0.625

0.375

147.22

50.458

197.67 kg

3VYN291401A-R0

e-BOP:ABB LIMITED - Faridabad

Short Circuit Force For Equipment Interconnection

CUSTOMER: (2x150 MW) M/S SHREE CEMENT LTD.,

Page 11 of 17

3VYN291401A-R0

e-BOP:ABB LIMITED - Faridabad

CUSTOMER: (2x150 MW) M/S SHREE CEMENT LTD.,

TYPICAL SHORT CIRCUIT FORCE CALCULATION FOR 400kV BUS POST INSULATOR

VI Support Arrangement Refer Figure 4 6.1 Equipment Dimension (Terminal to Terminal) in m

6.2 Support Span in Metre

0m

(L)

=

6.3 Equipment Dimension (Terminal to Terminal) in m 6.4 Support type for Equipment

Left 10.5

Right 0

4.8

0

FIXED

6.5 Support type for other equipment

SIMPLE

VII Calculation 7.1 Peak short circuit current

Ip3

=

102389

A

7.2 Factor a at Support A

Left 0.625

Right 0

7.3 Factor a at Support B

0.375

0

7.4 Factor b

0.73

0

7.5 Factor γ

2.45

0

7.6 Effective Distance (mts)

l

=

8.1

0

Fm

=

214.18

0

fc

=

6.9099

0

fc / f

=

0.1382

0

7.10 Ratio of dynamic & Static force on supports

VF =

0.6692

0

7.11 Ratio of stress for main conductor with & without 3 phase Auto reclosing

VR =

1.529

7.7 Electromagnetic forces between conductors 7.8 Natural frequency of the Tube (Hz) 7.9 Ratio

7.12 Factor a 7.13 Dynamic force (Bending Force) 7.14 Total Dynamic force due to Left span

Short Circuit Force For Equipment Interconnection

Page 12 of 17

Fd = =

0.625

0

136.94

0

136.94 kg

3VYN291401A-R0

e-BOP:ABB LIMITED - Faridabad

Short Circuit Force For Equipment Interconnection

CUSTOMER: (2x150 MW) M/S SHREE CEMENT LTD.,

Page 13 of 17

3VYN291401A-R0

Short Circuit Force For Equipment Interconnection

Page 14 of 17

D

C

B

A

Sl.No.

FIXED

0 SIMPLE

SIMPLE SIMPLE FIXED

400kV Bus Post Insulator

FIXED

FIXED

0

9

10.5

12

12

Left

0

5.5

9

10.5

Right

Eqpts(m)

Right

Support Left

SIMPLE FIXED

400kV Current Transformer

SIMPLE

Right

Distance between

Other Equipment

SIMPLE SIMPLE FIXED

400kV Circuit Breaker

FIXED

400kV Isolator

Left

Equipment Support

8.1

9.318

9.315

4.19

Left

0

2.827

4.189

8.1

Right

Length(m)

Effective

Right

214.2

0

246.4 74.753

246.3 110.77

110.8 214.18

Left

Fm (Kg)

Left

Right

6.91 1.0128 0.6692

Right

VF

6.91

0 0.6692

5.22 56.73 0.5962

0

1.8

5.22 25.84 0.5964 1.0129

25.8

Left

fc (Hz)

TABLE 1. Bending Force on 400kV Equipments

Right

Left

Right

Fd (Kg)

(Kg)

Total Fd

1.529

1.603

0 136.94

1 147.22

137.809

0 136.9396

50.458 197.6749

1.603 1.176 88.317 49.4919

1.176 1.529 82.505 82.1638 164.6688

Left

Vr

e-BOP:ABB LIMITED - Faridabad CUSTOMER: (2x150 MW) M/S SHREE CEMENT LTD.,

3VYN291401A-R0

e-BOP:ABB LIMITED - Faridabad

CUSTOMER: (2x150 MW) M/S SHREE CEMENT LTD.,

400kV SHREE CEMENT S/S CALCULATION OF SHORT CIRCUIT FORCE FOR TWIN MOOSE ACSR IN 400kV SYSTEM 1. FORMULAE USED

Electro magnetic force on flexible main conductors in 3 Phase System is given by (F') = Mo * 0.75 * (ik3)² /(2 * pi * am) (As per IEC-865-1 Page No. 39) 2. LEGEND F' = Electro magnetic force in N/m ik3 = Initial symmetrical short circuit current in amps Mo = Absolute permeability of vacuum , 4 (pi) x 10^ (-7) in H/m am = Effective distance between main conductor (phase spacing) in metres 3. SYSTEM DATA System short circuit current (ik3) in Amps

=

40000

Phase spacing (am) in metres

=

7

(i.e. 40 kA)

4. CALCULATION Refer Figure No.5 Electromagnetic force on conductor (TWIN Moose ACSR) (Short circuit force) (F') = 34.29 N/m = 3.5 Kg/m Force on CVT (15.13m span) Force on LA (14.75m span)

Short Circuit Force For Equipment Interconnection

Page 15 of 17

= =

52.96 Kg 51.63 Kg

3VYN291401A-R0

e-BOP:ABB LIMITED - Faridabad

Short Circuit Force For Equipment Interconnection

CUSTOMER: (2x150 MW) M/S SHREE CEMENT LTD.,

Page 16 of 17

3VYN291401A-R0

e-BOP:ABB LIMITED - Faridabad

CUSTOMER: (2x150 MW) M/S SHREE CEMENT LTD.,

400kV SHREE CEMENT S/S Summary :

PART A 1.

Calculation of Short Circuit force on Equipments with 4'' IPS Al. Tube

Isolator Force for 400kV

2.

PART B

=

197.67 kg

=

136.94 kg

Calculation of Short Circuit force on Equipments with TWIN MOOSE ACSR

CVT Force for 400kV

1.

137.81 kg

Bus Post Insulator Force for 400kV

1.

=

Current Transformer Force for 400kV

4.

164.67 kg

Circuit Breaker Force for 400kV

3.

=

=

52.96 kg

=

51.63 kg

LA Force for 400kV

Short Circuit Force For Equipment Interconnection

Page 17 of 17

3VYN291401A-R0