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 <0.04 0.04......0.8 0.8.......1.2 1.2.........1.6 1.6.......2.4 2.4......2.74 2.74......3.0 3.0........6.0 >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 >0.05 and <1 >=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
