Item 06a p1916 0657 4004 Calculation Note Short Circuit Currents_c Ifa

ACERGY POLARIS UPGRADE OF ELECTRICAL GENERATION

CALCULATION NOTE SHORT-CIRCUIT CURRENTS

C 09-06-06 ABV Issued for Approval AGU RKA

B 29-03-06 SBT Issued for Approval AGU RKA

A 03-02-06 SBT Issued for Comments AGU RKA

REV DATE BY DESCRIPTION CHECK APPR. SPEC. RESP.

CONTRACTOR APPROVAL COMPANY APPROVAL

STATUS CODE : IFC = Issued for comments – IFA = Issued for approval – AFC = Approved – AB = As built

TOTAL OR PARTIAL REPRODUCTION AND/OR UTILIZATION OF THIS DOCUMENT ARE FORBIDDEN WITHOUT PRIOR WRIITEN AUTHORIZATION OF THE OWNER

ACERGY - ACERGY POLARIS UPGRADE OF ELECTRICAL GENERATION Département IGP Parc Club des Aygalades - Bât. 6 35, Bd du Capitaine Gèze 13015 Marseille Tél. : 33 4 91 61 58 00 Fax : 33 4 91 61 85 74

663, av. de la 1ère Armée Française Zone portuaire de Brégaillon 83500 La Seyne-Sur-Mer Tél. : 33 4 94 11 54 00 Fax : 33 4 94 06 62 67

Acergy S.A.

1 Quai Marcel Dassault92156 Suresnes Cedex

Tél. : 33 1 40 97 60 00 Fax : 33 1 40 97 63 33 P1916 - 06574004

REVISION C

STATUS IFA

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Doc. Title : SHORT-CIRCUIT CURRENTS - CALCULATION NOTE Page 2 of 42

ACERGY POLARIS - UPGRADE OF ELECTRICAL GENERATION Document : P1916 - 06574004 Revision : C Date : 31/05/06

A B C D E F G H A B C D E F G H 1 X X X 51 2 X X X 52 3 X X X 53 4 X X X 54 5 X X X 55 6 X X X 56 7 X X X 57 8 X X X 58 9 X X X 59 10 X X X 60 11 X X X 61 12 X X X 62 13 X X 63 14 X X 64 15 X 65 16 X 66 17 X 67 18 X 68 19 X 69 20 X 70 21 X 71 22 X 72 23 X 73 24 X 74 25 X 75 26 X 76 27 X 77 28 X 78 29 X 79 30 X 80 31 X 81 32 X 82 33 X 83 34 X 84 35 X X X 85 36 X X X 86 37 X X X 87 38 X X X 88 39 X X X 89 40 X X X 90 41 X X X 91 42 X X X 92 43 93 44 94 45 95 46 96 47 97 48 98 49 99 50 100

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TABLE OF CONTENTS

Page No.

1 FOREWORD .................................................................................................................................. 4

2 REFERENCE DOCUMENTS.......................................................................................................... 4

3 SIMPLIFYING ASSUMPTIONS...................................................................................................... 5

4 FORMULA...................................................................................................................................... 5

4.1 ALTERNATOR IMPEDANCE CALCULATION ..................................................................................... 5 4.2 CABLE IMPEDANCE CALCULATION............................................................................................... 6 4.3 CIRCUIT BREAKER IMPEDANCE ................................................................................................... 6 4.4 ASYNCHRONOUS MOTOR REVERSE CURRENT CALCULATION ........................................................ 6 4.5 SHORT-CIRCUIT CALCULATION ................................................................................................... 8

5 NETWORK MODELLING............................................................................................................... 8

5.1 ELECTRICAL NETWORK DATA ..................................................................................................... 8 5.2 NETWORK CONFIGURATIONS ...................................................................................................... 8

6 EQUIPMENT CHARACTERISTICS.............................................................................................. 10

6.1 DIESEL GENERATORS DATA...................................................................................................... 10 6.2 FEEDERS DATA........................................................................................................................ 11 6.3 PROTECTIVE DEVICES DATA ..................................................................................................... 11

7 RESULTS..................................................................................................................................... 12

7.1 CASE 1 – MAXIMUM FAULT LEVELS .......................................................................................... 12 7.2 CASE 2 – MINIMUM FAULT LEVEL IN NORMAL OPERATION............................................................ 12 7.3 CASE 3 – MINIMUM FAULT LEVEL IN EXCEPTIONAL OPERATION.................................................... 12

ATTACHMENTS

APPENDIX A – General Single Line Diagram

APPENDIX B – G1/G2/G3 Alternators Data Sheet

APPENDIX C – G4 Alternator Data Sheet

APPENDIX D – G5 Alternator Data Sheet

APPENDIX E – GS Alternator Data Sheet

APPENDIX F – BV Information Note BV NI 126A Tables

APPENDIX G – Study Case Report

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1 FOREWORD

The purpose of this note is to evaluate the maximum peak short-circuit fault level, the maximum symmetrical short-circuit fault level and the minimum symmetrical short-circuit fault level involved at the bus bar of the new LV switchboards MS1 and MS2 as well as the existing LV switchboards MS3, MS4 and EMS for the Seaway Polaris Upgrade Of Electrical Generation Project. The overall configuration of the electrical network is shown in Appendix A.

2 REFERENCE DOCUMENTS

Manual calculations were carried out in full compliance with the following documents: Rules

Reference Title NR 467.C2 DTM R02 E Bureau Veritas

Rules for the Classification of Steel Ships - PART C Machinery, Electricity, Automation and Fire Protection Chapters 2 – ELECTRICAL INSTALLATIONS

Standards

Reference Title IEC 61363-1 Electrical installations of ships and mobile and fixed offshore

units - Part 1: procedures for calculating short-circuit currents in three-phase a.c.

IEC 60909 Short-circuit calculation in three phase a.c. system IEC 60909-1 Factor for the calculation of Sc current in 3 phase a.c. systems IEC 60909-2 Electrical equipment-data for Scc calculations Project Document

Reference Title 63772-EL-1004 rev. 14 Seaway POLARIS – General Power Distribution

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ACERGY POLARIS- UPGRADE OF ELECTRICAL GENERATION Document : P1916 - 06574004 Revision : C Date : 31/05/06

3 SIMPLIFYING ASSUMPTIONS

The following assumptions have been taken into account to carry out the calculations: a) Calculations are done within the first half-cycle of the fault condition.

b) All the asynchronous motors have been supposed equivalent to one large (as per IEC 61363-1 definition) motor directly connected to the bus bar of the main switchboard MS1, MS4 and EMS.

c) The impedance of all bus bars is negligible.

d) The maximum peak short-circuit fault level, the maximum symmetrical short-circuit fault level and the minimum symmetrical short-circuit fault level involved at the bus bar of the new LV switchboard MS2 is equal to the one of MS1.

e) The maximum peak short-circuit at EMS is calculated when EMS is fed by MS1, considering the Generators on MS1 have a higher rating than the one connected at MS4 and the interlock between CB40 and CB20 at EMS (see APPENDIX A – General Single Line Diagram).

f) Only the minimum symmetrical short-circuit fault level involved at the bus bar of the new LV switchboards MS1/MS2 is calculated. It is considered that the network configuration upgrade has not impact on the existing LV switchboard MS3, MS4 and EMS regarding this case study (G1, G2 and G3 having a higher power rating than the existing generators).

4 FORMULA 4.1 Alternator Impedance calculation

(1)

(2)

where: XG alternator reactance (Ω) RG alternator resistance (Ω) X”dG alternator direct axis subtransient (%) RaG alternator stator resistance (%) Un alternator rated voltage (V) Sn alternator Rated Power (kVA) If the alternator stator resistance is unknown, it will be calculated as follows:

×=

×=

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(3)

4.2 Cable Impedance Calculation

(4)

(5)

where: XCA cable reactance (Ω) RCA cable resistance (Ω) xCA linear reactance for a given section (mΩ/m). Refer to TABLE II of APPENDIX F rCA linear resistance for a given section (mΩ/m). Refer to TABLE II of APPENDIX F LCA cable length (m) nCA number of cables in parallel

4.3 Circuit Breaker Impedance

(6) XCB and RCB are determined according to the TABLE III of APPENDIX F.

where: XCB circuit breaker reactance (Ω) RCB circuit breaker resistance (Ω)

4.4 Asynchronous Motor Reverse Current calculation

As per BV NI-126A note, the following approximate values may be used for the calculation of the rated current of the equivalent asynchronous motor:

(7)

×=

×=

×=

×==

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It is considered that the bus bars at MS1, MS4 and EMS have an asynchronous motor connected, respectively MtrEqMS1, MtrEqMS4 and MtrEMS, where:

Furthermore as per IEC 61363-1 chapter 6.3.3, the following approximate values may be used for large asynchronous motors:

Z”M = 0,16 p.u. X”M = 0,15 p.u. RM = 0,055 p.u.

(8)

(9)

(10)

(11)

(12)

(13)

where: Z”M locked rotor impedance (p.u.) X”M reactance (p.u.) RM resistance (p.u.) IrM rated current (r.m.s.) I”M subtransient short-circuit current (r.m.s.)

×≈×

+=

( )

=×≈×−

=

×≈××=

!

×=

!

+×=

!

+×=

×+++

−+×=

=

"#

×+++

+×=

=

"#

×++++

×==

"#"

$

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IacM symmetrical short-circuit current (r.m.s.) IpM peak value of the short-circuit current (r.m.s.) n number of alternators simultaneously in service IGi rated current of the alternator No. i running (r.m.s.)

4.5 Short-circuit Calculation

(11)

(12)

where: Xt total reactance of the single-phase circuit up to the fault location Rt total resistance of the single-phase circuit up to the fault location I”k symmetrical short-circuit current (r.m.s.) Ip peak value of the short-circuit current (r.m.s.) IacM symmetrical short-circuit current of the equivalent asynchronous motor (r.m.s.) Un rated voltage (V) c short-circuit current voltage factor according to IEC 60909 Table 1.

The maximum factor is 1.00 for 230 and 400 V, 1.05 for other LV system and 1.10 for MV system

K Impedance corrective factor according to the ratio Xt/Rt (see figure 1 of APPENDIX F).

5 NETWORK MODELLING 5.1 Electrical Network Data

Frequency : 60 Hz Voltage : 460 Vac Phases : 3 ph. Grounding System : IT

5.2 Network configurations

Refer to Appendix A – General Single Line Diagram As per BV document “Rules for the Classification of Steel Ships - PART C Machinery, Electricity, Automation and Fire Protection Chapters 2 – ELECTRICAL INSTALLATIONS” at section 3, the maximum number of generators are to be evaluated without taking into consideration short-term parallel operation (e.g. for load transfer). The 3 new generators G1, G2 and G3 being operated in a 2 of 3 mode, only G1 and G2 are taken into consideration in the calculation.

%

+

××

+=

% & ××=

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The following cases have been examined : Case 1 – Calculation of the maximum peak and symmetrical short-circuit currents at MS1, MS4, MS3 and EMS bus bars:

' G1, G2, G4 and G5 running in parallel ' CB1, CB2, CB4 and CB5 closed ' CB10 and CB11 closed ' All continuous / intermittent motor loads are connected to their respective switchboard

(MS1, MS4 and EMS) and represented by an equivalent motor MtrEqMS1, MtrEqMS4 and MtrEqEMS

' EMS switchboard fed by MS1/MS4

Case 2 – Calculation of the minimum symmetrical short-circuit current at MS1 bus bar: ' G4 or G5 running only and respectively CB4 or CB5 closed ' CB10 and CB11 closed

Case 3 - Calculation of the exceptional minimum symmetrical short-circuit current at MS1 bus bar:

' GS running only ' CB1, CB2, CB3 and CB10 opened ' MS1 fed by EMS: CB6, CB20 and CB21 closed

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6 EQUIPMENT CHARACTERISTICS 6.1 Diesel Generators data

Refer to APPENDIX B, C, D and E.

ELECTRICAL

CHARACTERISTICS

G1 G2 G3 G4 G5 GS

Rated voltage [v] V 460 460 460 460 460 460

Frequency [Hz] F 60 60 60 60 60 60

Rated Power [kVA] S 1 987 1 987 1 987 1 800 1 800 800

Rated Mechanical Power [kW] P 1 665 1 665 1 665 - - -

Rated Electrical Power [kW] P 1 590 1 590 1 590 - - -

Rated power factor [%] Pf 0.8 0.8 0.8 0.8 0.8 0.8

Rated current [A] In 2 390 2 390 2 390 2 165 2 165 1004

Rated speed [rpm] N 900 900 900 1 800 1 800 1 200

Engine Type - Diesel Diesel Diesel Diesel Diesel Diesel

Phase Number φ 3 3 3 3 3 3

Efficiency η

at 0.8 PF

Load at 100 % [%] 95.5 95.5 95.5 94.8 95.2 -

Load at 75 % [%] 95.7 95.7 95.7 94.9 95 -

Load at 50 % [%] 95.5 95.5 95.5 94.4 - -

Load at 25 % [%] 93.5 93.5 93.5 91.6 - -

at 1.0 PF

Load at 100 % [%] 96.7 96.7 96.7 96 96.3 -

Load at 75 % [%] 96.7 96.7 96.7 95.8 95.9 -

Load at 50 % [%] 96.2 96.2 96.2 95.1 - -

Load at 25 % [%] 94 94 94 91.9 - -

Direct axis reactance ( % ) [%] Xd 154 154 154 315 351 174

Direct axis transient ( % ) [%] X’d 19.5 19.5 19.5 24.5 29 13

Direct axis sub-transient ( % ) [%] X”d 16.5 16.5 16.5 14.5 16 9

Quad. axis synchronous ( % ) [%] Xq 65.7 65.7 65.7 190 - 111

Quad. axis sub-transient ( % ) [%] X”q 19.6 19.6 19.6 19.5 - 28

Negative Sequence ( % ) [%] X2 18.1 18.1 18.1 17 - 16

Zero Sequence ( % ) [%] Xo 13 13 13 2.9 - 2

R / X"d - 0.084 0.084 0.084 0.08 0.08

Grounding - Open Open Open Open Open Open

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6.2 Feeders data

6.3 Protective Devices data

Nota : NWxx H2 circuit breaker: Icu = 85kA at 500/690V NS100L circuit breaker: Icu = 100kA at 500/525V

ELECTRICAL

CHARACTERISTICS

Type Section

mm² Nb.

cables length

m CABLE1 Three-core 120 12 30

CABLE2 Three-core 120 12 30









ELECTRICAL

CHARACTERISTICS

Type Model Rated current A

Nb. poles

CB1 Circuit breaker

NW25H2 2 500 3

CB2 Circuit breaker

NW25H2 2 500 3

CB3 Circuit breaker

NW25H2 2 500 3

CB4 Circuit breaker

NW25H2 2 500 3

CB5 Circuit breaker

NW25H2 2 500 3

CB6 Circuit breaker

NW10H2 1 000 3

CB10 Circuit breaker

NW40H2 4 000 3


NW40H2 4 000 3


NS1000L 1 000 3


NS1000L 1 000 3


NW32H2 3 200 3


NS1000L 1 000 3

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7 RESULTS 7.1 Case 1 – Maximum Fault Levels

According to IEC 60909 Table 1, the maximum short-circuit current voltage factor is 1.00 for 230 and 400 V, 1.05 for other LV system and 1.10 for MV system.

SWITCHBOARD I" k (kA r.m.s) IP (kA peak)

MS1 81 183 MS2 81 183 MS4 81 183 MS3 70 134 EMS 76 124

7.2 Case 2 – Minimum fault level in normal operation



MS1 21 48

7.3 Case 3 – Minimum fault level in exceptional operation



MS1 12 24

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ACERGY POLARIS - UPGRADE OF ELECTRICAL GENERATION Document : P1916 - 06574004 Revision : B Date : 29/03/06

APPENDIX A GENERAL SINGLE LINE DIAGRAM

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ACERGY POLARIS - UPGRADE OF ELECTRICAL GENERATION Document : P1916 - 06574004 Revision : B Date : 29/03/06

MtrEqMS1

MS4 MS1

CABLE2

G2 1987 kVA

CB2

CABLE3

G3 1987 kVA

CB3

CABLE4

G4 1800 kVA

CB4

CABLE5

G5 1800 kVA

CB5

CB30

CABLE30

MS3MS2

M

CB11 CB10

CABLE10

CB20 CB21

CABLE20

EMS

CABLE6

GS 800 kVA

CB6

CABLE1

G1 1987 kVA

CB1

Existing installation New installation Upgrade of Electrical Generation Project

MtrEqEMS

M

MtrEqMS4

M

CB40

CABLE40

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ACERGY POLARIS - UPGRADE OF ELECTRICAL GENERATION Document : P1916 - 06574004 Revision : A Date : 03/02/06

APPENDIX B

G1, G2 AND G3 DATA SHEET

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APPENDIX C

G4 DATA SHEET

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APPENDIX D

G5 DATA SHEET

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APPENDIX E

GS DATA SHEET

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APPENDIX F

BV NI-126 A TABLES

' Impedance Correction Factor K

' Approximate Minimal Impedances of Protective Devices

' Approximate Minimal Impedance of cables

Approximate minimal impedances of cables

Section mm²

Resistance mΩ/m

Reactance mΩ/m

: The values above correspond to three-core cables. For the single-core cables, the reactances vary according to the conditions of installation, one will be able to take as approximate value 1.5 times the value given for the three-core cables.

Approximate minimal impedances of protective devices

Rated Current

Devices with direct relay

switches or devices with indirect relay

Reactance mΩ/phase

Switches

Devices with relay and

blow-out coil

Resist-ance mΩ/

phase

Reactance mΩ/phase

Resistance mΩ/

phase

values to determine

in each particular

case

values to determine

in each particular

case

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APPENDIX G

STUDY CASE REPORT

Project: SEAWAY POLARIS - UPGRADE OF ELECTRICAL GENERATION Page: 1

Location: SEAWAY POLARIS Date: 31-mai-06

Contract: 57-5E-0230 Revision: C

PROJECT INPUT DATA

Synchronous Generator Input Data

(2) (1)

Generator Type Voltage Power Ra X"d R X Z

ID V kVA % % Ω Ω Ω

G1 Diesel 460 1 987 1,39 16,5 0,0014802 0,0175712 0,0176335

G2 Diesel 460 1 987 1,39 16,5 0,0014802 0,0175712 0,0176335

G3 Diesel 460 1 987 1,39 16,5 0,0014802 0,0175712 0,0176335

G4 Diesel 460 1 800 1,16 14,5 0,0013636 0,0170456 0,0171000

G5 Diesel 460 1 800 1,28 16 0,0015047 0,0188089 0,0188690

GS Diesel 460 800 0,72 9 0,0019044 0,0238050 0,0238811

Line / Cable Input Data

(5) (4)

Line / Cable Section #/phase Length Mat. R X Z

ID mm² m Ω Ω Ω

CABLE1 3 x 120 12 30 copper 0,0003925 0,0001900 0,0004361

CABLE2 3 x 120 12 30 copper 0,0003925 0,0001900 0,0004361

CABLE3 3 x 120 12 30 copper 0,0003925 0,0001900 0,0004361

CABLE4 3 x 120 11 25 copper 0,0003568 0,0001727 0,0003964

CABLE5 3 x 120 11 25 copper 0,0003568 0,0001727 0,0003964

CABLE6 3 x 120 5 25 copper 0,0007850 0,0003800 0,0008721

CABLE10 3 x 120 20 70 copper 0,0005495 0,0002660 0,0006105

CABLE20 3 x 120 5 60 copper 0,0018840 0,0009120 0,0020931

CABLE30 3 x 120 14 70 copper 0,0007850 0,0003800 0,0008721

CABLE40 3 x 120 5 20 copper 0,0006280 0,0003040 0,0006977

Protective Device Input Data

(6) (6)

Prot. Device Type Rating r x R X Z

ID A mΩ/phase mΩ/phase Ω Ω Ω

CB1 Circ. Break. 2 500 0,015 0,025 0,0000150 0,0000250 0,0000292

CB2 Circ. Break. 2 500 0,015 0,025 0,0000150 0,0000250 0,0000292

CB3 Circ. Break. 2 500 0,015 0,025 0,0000150 0,0000250 0,0000292

CB4 Circ. Break. 2 500 0,015 0,025 0,0000150 0,0000250 0,0000292

CB5 Circ. Break. 2 500 0,015 0,025 0,0000150 0,0000250 0,0000292

CB6 Circ. Break. 1 000 0,03 0,04 0,0000300 0,0000400 0,0000500

CB10 Circ. Break. 4 000 0,01 0,02 0,0000100 0,0000200 0,0000224

CB11 Circ. Break. 4 000 0,01 0,02 0,0000100 0,0000200 0,0000224

CB20 Circ. Break. 1 000 0,03 0,04 0,0000300 0,0000400 0,0000500

CB21 Circ. Break. 1 000 0,03 0,04 0,0000300 0,0000400 0,0000500

CB30 Circ. Break. 3 200 0,015 0,025 0,0000150 0,0000250 0,0000292

CB40 Circ. Break. 1 000 0,03 0,04 0,0000300 0,0000400 0,0000500

Nota:

' Sign “ + ” = parallel ' Sign “ . “ = series




Study Case: Case 1

SHORT-CIRCUIT REPORT

3-phase fault at bus: : MS1 / MS2

Nominal kV = 0,460 kV

Voltage c Factor = 1,05

(14) Symmetrical short-circuit current = 81 kA rms

X/R = 6,4

K = 2,26 (APPENDIX F - Impedance Correction Factor K)

(15) Peak short-circuit current = 183 kA rms

Equivalent Asynchronous Motors Contribution

(7) (13) (12) (11)

Motor Current Voltage Power R X Z

ID A V kVA Ω Ω Ω

MtrEqMS1 1 992 460 1 587 0,0114746 0,0312936 0,033330964

MtrEqMS4 2 259 460 1 800 0,0101184 0,0275948 0,029391448

MtrEqEMS 502 460 400 0,0455327 0,1241768 0,132261516

ID From ID To ID R X Z

Ω Ω Ω

L1 G1 CABLE1 0,0014802 0,0175712 0,0176335

CABLE1 CB1 0,0003925 0,0001900 0,0004361

CB1 MS1 0,0000150 0,0000250 0,0000292

0,0018877 0,0177862 0,0178861

L2 G2 CABLE2 0,0014802 0,0175712 0,0176335

CABLE2 CB2 0,0003925 0,0001900 0,0004361

CB2 MS1 0,0000150 0,0000250 0,0000292

0,0018877 0,0177862 0,0178861

L4 G4 CABLE4 0,0013636 0,0170456 0,0171000

CABLE4 CB4 0,0003568 0,0001727 0,0003964

CB4 MS4 0,0000150 0,0000250 0,0000292

0,0017355 0,0172433 0,0173304

L5 G5 CABLE5 0,0015047 0,0188089 0,0188690

CABLE5 CB5 0,0003568 0,0001727 0,0003964

CB5 MS4 0,0000150 0,0000250 0,0000292

0,0018765 0,0190066 0,0190990

L10 CB11 CABLE10 0,0000100 0,0000200 0,0000224

CABLE10 CB10 0,0005495 0,0002660 0,0006105

CB10 MS1 0,0000100 0,0000200 0,0000224

0,0005695 0,0003060 0,0006465

L6 GS CABLE6 0,0019044 0,0238050 0,0238811

CABLE6 CB6 0,0007850 0,0003800 0,0008721

CB6 EMS 0,0000300 0,0000400 0,0000500

0,0027194 0,0242250 0,0243772

L20 CB21 CABLE20 0,0000300 0,0000400 0,0000500

CABLE20 CB20 0,0018840 0,0009120 0,0020931

CB20 MS1 0,0000300 0,0000400 0,0000500

0,0019440 0,0009920 0,0021825

L40 CB40 CABLE40 0,0000300 0,0000400 0,0000500

CABLE40 CB21 0,0006280 0,0003040 0,0006977

CB21 EMS 0,0000300 0,0000400 0,0000500

0,0006880 0,0003840 0,0007879

L1 + L2 + MtrEqMS1 0,0008721 0,0069251 0,0069798

MtrEqEMS . L20 0,0474767 0,1251688 0,1338703

(L4 + L5 + MtrEqMS4) . L10 0,0013974 0,0071159 0,0072518

[L1 + L2 + MtrEqMS1] + [MtrEqEMS . L20 ] + [(L4 + L5 + MtrEqMS4) . L10]

0,0005310 0,0034139 0,0034549




Study Case: Case 1


3-phase fault at bus: : MS4




X/R = 6,6




(7) (13) (12) (11)


ID A V kVA Ω Ω Ω

MtrEqMS1 1 992 460 1 587 0,0114746 0,0312936 0,033330964

MtrEqMS4 2 259 460 1 800 0,0101184 0,0275948 0,029391448

MtrEqEMS 502 460 400 0,0455327 0,1241768 0,132261516


Ω Ω Ω

L1 G1 CABLE1 0,0014802 0,0175712 0,0176335

CABLE1 CB1 0,0003925 0,0001900 0,0004361

CB1 MS1 0,0000150 0,0000250 0,0000292

0,0018877 0,0177862 0,0178861

L2 G2 CABLE2 0,0014802 0,0175712 0,0176335

CABLE2 CB2 0,0003925 0,0001900 0,0004361

CB2 MS1 0,0000150 0,0000250 0,0000292

0,0018877 0,0177862 0,0178861

L4 G4 CABLE4 0,0013636 0,0170456 0,0171000

CABLE4 CB4 0,0003568 0,0001727 0,0003964

CB4 MS4 0,0000150 0,0000250 0,0000292

0,0017355 0,0172433 0,0173304

L5 G5 CABLE5 0,0015047 0,0188089 0,0188690

CABLE5 CB5 0,0003568 0,0001727 0,0003964

CB5 MS4 0,0000150 0,0000250 0,0000292

0,0018765 0,0190066 0,0190990

L10 CB11 CABLE10 0,0000100 0,0000200 0,0000224

CABLE10 CB10 0,0005495 0,0002660 0,0006105

CB10 MS1 0,0000100 0,0000200 0,0000224

0,0005695 0,0003060 0,0006465

L6 GS CABLE6 0,0019044 0,0238050 0,0238811

CABLE6 CB6 0,0007850 0,0003800 0,0008721

CB6 EMS 0,0000300 0,0000400 0,0000500

0,0027194 0,0242250 0,0243772

L20 CB21 CABLE20 0,0000300 0,0000400 0,0000500

CABLE20 CB20 0,0018840 0,0009120 0,0020931

CB20 MS1 0,0000300 0,0000400 0,0000500

0,0019440 0,0009920 0,0021825

L40 CB40 CABLE40 0,0000300 0,0000400 0,0000500

CABLE40 CB21 0,0006280 0,0003040 0,0006977

CB21 EMS 0,0000300 0,0000400 0,0000500

0,0006880 0,0003840 0,0007879

L4 + L5 + MtrEqMS4 0,0008279 0,0068099 0,0068600

MtrEqEMS . L40 0,0462207 0,1245608 0,1328599

(L1 + L2 + MtrEqMS1) . L10 0,0014416 0,0072311 0,0073734

[L4 + L5 + MtrEqMS4] + [MtrEqEMS . L40] + [(L1 + L2 + MtrEqMS1) . L10] 0,0005200 0,0034110 0,0034504




Study Case: Case 1


3-phase fault at bus: : MS3




X/R = 2,9




(7) (13) (12) (11)


ID A V kVA Ω Ω Ω

MtrEqMS1 1 992 460 1 587 0,0114746 0,0312936 0,033330964

MtrEqMS4 2 259 460 1 800 0,0101184 0,0275948 0,029391448

MtrEqEMS 502 460 400 0,0455327 0,1241768 0,132261516


Ω Ω Ω

L1 G1 CABLE1 0,0014802 0,0175712 0,0176335

CABLE1 CB1 0,0003925 0,0001900 0,0004361

CB1 MS1 0,0000150 0,0000250 0,0000292

0,0018877 0,0177862 0,0178861

L2 G2 CABLE2 0,0014802 0,0175712 0,0176335

CABLE2 CB2 0,0003925 0,0001900 0,0004361

CB2 MS1 0,0000150 0,0000250 0,0000292

0,0018877 0,0177862 0,0178861

L4 G4 CABLE4 0,0013636 0,0170456 0,0171000

CABLE4 CB4 0,0003568 0,0001727 0,0003964

CB4 MS4 0,0000150 0,0000250 0,0000292

0,0017355 0,0172433 0,0173304

L5 G5 CABLE5 0,0015047 0,0188089 0,0188690

CABLE5 CB5 0,0003568 0,0001727 0,0003964

CB5 MS4 0,0000150 0,0000250 0,0000292

0,0018765 0,0190066 0,0190990

L10 CB11 CABLE10 0,0000100 0,0000200 0,0000224

CABLE10 CB10 0,0005495 0,0002660 0,0006105

CB10 MS1 0,0000100 0,0000200 0,0000224

0,0005695 0,0003060 0,0006465

L6 GS CABLE6 0,0019044 0,0238050 0,0238811

CABLE6 CB6 0,0007850 0,0003800 0,0008721

CB6 EMS 0,0000300 0,0000400 0,0000500

0,0027194 0,0242250 0,0243772

L20 CB21 CABLE20 0,0000300 0,0000400 0,0000500

CABLE20 CB20 0,0018840 0,0009120 0,0020931

CB20 MS1 0,0000300 0,0000400 0,0000500

0,0019440 0,0009920 0,0021825

L30 CB30 CABLE30 0,0000150 0,0000250 0,0000292

CABLE30 MS3 0,0007850 0,0003800 0,0008721

0,0008000 0,0004050 0,0008967

L40 CB40 CABLE40 0,0000300 0,0000400 0,0000500

CABLE40 CB21 0,0006280 0,0003040 0,0006977

CB21 EMS 0,0000300 0,0000400 0,0000500

0,0006880 0,0003840 0,0007879

L4 + L5 + MtrEqMS4 0,0008279 0,0068099 0,0068600

MtrEqEMS . L40 0,0462207 0,1245608 0,1328599

(L1 + L2 + MtrEqMS1) . L10 0,0014416 0,0072311 0,0073734

[[L4 + L5 + MtrEqMS4] + [MtrEqEMS . L40] + [(L1 + L2 + MtrEqMS1) . L10]] .L30 0,0013200 0,0038160 0,0040379




Study Case: Case 1


3-phase fault at bus: : EMS




X/R = 3,9




(7) (13) (12) (11)


ID A V kVA Ω Ω Ω

MtrEqMS1 1 992 460 1 587 0,0114746 0,0312936 0,033330964

MtrEqMS4 2 259 460 1 800 0,0101184 0,0275948 0,029391448

MtrEqEMS 502 460 400 0,0455327 0,1241768 0,132261516


Ω Ω Ω

L1 G1 CABLE1 0,0014802 0,0175712 0,0176335

CABLE1 CB1 0,0003925 0,0001900 0,0004361

CB1 MS1 0,0000150 0,0000250 0,0000292

0,0018877 0,0177862 0,0178861

L2 G2 CABLE2 0,0014802 0,0175712 0,0176335

CABLE2 CB2 0,0003925 0,0001900 0,0004361

CB2 MS1 0,0000150 0,0000250 0,0000292

0,0018877 0,0177862 0,0178861

L4 G4 CABLE4 0,0013636 0,0170456 0,0171000

CABLE4 CB4 0,0003568 0,0001727 0,0003964

CB4 MS4 0,0000150 0,0000250 0,0000292

0,0017355 0,0172433 0,0173304

L5 G5 CABLE5 0,0015047 0,0188089 0,0188690

CABLE5 CB5 0,0003568 0,0001727 0,0003964

CB5 MS4 0,0000150 0,0000250 0,0000292

0,0018765 0,0190066 0,0190990

L10 CB11 CABLE10 0,0000100 0,0000200 0,0000224

CABLE10 CB10 0,0005495 0,0002660 0,0006105

CB10 MS1 0,0000100 0,0000200 0,0000224

0,0005695 0,0003060 0,0006465

L6 GS CABLE6 0,0019044 0,0238050 0,0238811

CABLE6 CB6 0,0007850 0,0003800 0,0008721

CB6 EMS 0,0000300 0,0000400 0,0000500

0,0027194 0,0242250 0,0243772

L20 CB21 CABLE20 0,0000300 0,0000400 0,0000500

CABLE20 CB20 0,0018840 0,0009120 0,0020931

CB20 MS1 0,0000300 0,0000400 0,0000500

0,0019440 0,0009920 0,0021825

L40 CB40 CABLE40 0,0000300 0,0000400 0,0000500

CABLE40 CB21 0,0006280 0,0003040 0,0006977

CB21 EMS 0,0000300 0,0000400 0,0000500

0,0006880 0,0003840 0,0007879

L1 + L2 + MtrEqMS1 0,0008721 0,0069251 0,0069798

L4 + L5 + MtrEqMS4 0,0008279 0,0068099 0,0068600

L20 + L40 0,0005082 0,0002768 0,0005787

[[ L1 + L2 + MtrEqMS1 ] + [ L4 + L5 + MtrEqMS4 ]] . [ L20 + L40 ] 0,0009329 0,0037103 0,0038258

MtrEqEMS + [ [[L1 + L2 + MtrEqMS1] + [L4 + L5 + MtrEqMS4]] . [L20 + L40] ] 0,0009141 0,0036027 0,0037169




Study Case: Case 2






X/R = 6,3




(7) (13) (12) (11)


ID A V kVA Ω Ω Ω

MtrEqMS1 473 460 377 0,0483244 0,1317902 0,140370573

MtrEqMS4 537 460 428 0,0425650 0,1160834 0,123641119

MtrEqEMS 119 460 95 0,1920792 0,5238383 0,557943537


Ω Ω Ω

L1 G1 CABLE1 0,0014802 0,0175712 0,0176335

CABLE1 CB1 0,0003925 0,0001900 0,0004361

CB1 MS1 0,0000150 0,0000250 0,0000292

0,0018877 0,0177862 0,0178861

L2 G2 CABLE2 0,0014802 0,0175712 0,0176335

CABLE2 CB2 0,0003925 0,0001900 0,0004361

CB2 MS1 0,0000150 0,0000250 0,0000292

0,0018877 0,0177862 0,0178861

L4 G4 CABLE4 0,0013636 0,0170456 0,0171000

CABLE4 CB4 0,0003568 0,0001727 0,0003964

CB4 MS4 0,0000150 0,0000250 0,0000292

0,0017355 0,0172433 0,0173304

L5 G5 CABLE5 0,0015047 0,0188089 0,0188690

CABLE5 CB5 0,0003568 0,0001727 0,0003964

CB5 MS4 0,0000150 0,0000250 0,0000292

0,0018765 0,0190066 0,0190990

L10 CB11 CABLE10 0,0000100 0,0000200 0,0000224

CABLE10 CB10 0,0005495 0,0002660 0,0006105

CB10 MS1 0,0000100 0,0000200 0,0000224

0,0005695 0,0003060 0,0006465

L6 GS CABLE6 0,0019044 0,0238050 0,0238811

CABLE6 CB6 0,0007850 0,0003800 0,0008721

CB6 EMS 0,0000300 0,0000400 0,0000500

0,0027194 0,0242250 0,0243772

L20 CB21 CABLE20 0,0000300 0,0000400 0,0000500

CABLE20 CB20 0,0018840 0,0009120 0,0020931

CB20 MS1 0,0000300 0,0000400 0,0000500

0,0019440 0,0009920 0,0021825

L30 CB30 CABLE30 0,0000150 0,0000250 0,0000292

CABLE30 MS3 0,0007850 0,0003800 0,0008721

0,0008000 0,0004050 0,0008967

MtrEqEMS . L20 0,1940232 0,5248303 0,5595461

(L4 + MtrEqMS4) . L10 0,0022370 0,0153192 0,0154817

[ [MtrEqMS1] + [MtrEqEMS . L20] + [(L4 + MtrEqMS4) . L10] 0,0021147 0,0133742 0,0135404




Study Case: Case 3






X/R = 5,1




(7) (13) (12) (11)


ID A V kVA Ω Ω Ω

MtrEqMS1 210 460 167 0,1088449 0,2968417 0,316168005

MtrEqMS4 239 460 190 0,0956377 0,2608233 0,277804523

MtrEqEMS 53 460 42 0,4312721 1,1761653 1,25274115


Ω Ω Ω

L1 G1 CABLE1 0,0014802 0,0175712 0,0176335

CABLE1 CB1 0,0003925 0,0001900 0,0004361

CB1 MS1 0,0000150 0,0000250 0,0000292

0,0018877 0,0177862 0,0178861

L2 G2 CABLE2 0,0014802 0,0175712 0,0176335

CABLE2 CB2 0,0003925 0,0001900 0,0004361

CB2 MS1 0,0000150 0,0000250 0,0000292

0,0018877 0,0177862 0,0178861

L4 G4 CABLE4 0,0013636 0,0170456 0,0171000

CABLE4 CB4 0,0003568 0,0001727 0,0003964

CB4 MS4 0,0000150 0,0000250 0,0000292

0,0017355 0,0172433 0,0173304

L5 G5 CABLE5 0,0015047 0,0188089 0,0188690

CABLE5 CB5 0,0003568 0,0001727 0,0003964

CB5 MS4 0,0000150 0,0000250 0,0000292

0,0018765 0,0190066 0,0190990

L10 CB11 CABLE10 0,0000100 0,0000200 0,0000224

CABLE10 CB10 0,0005495 0,0002660 0,0006105

CB10 MS1 0,0000100 0,0000200 0,0000224

0,0005695 0,0003060 0,0006465

L6 GS CABLE6 0,0019044 0,0238050 0,0238811

CABLE6 CB6 0,0007850 0,0003800 0,0008721

CB6 EMS 0,0000300 0,0000400 0,0000500

0,0027194 0,0242250 0,0243772

L20 CB21 CABLE20 0,0000300 0,0000400 0,0000500

CABLE20 CB20 0,0018840 0,0009120 0,0020931

CB20 MS1 0,0000300 0,0000400 0,0000500

0,0019440 0,0009920 0,0021825

L30 CB30 CABLE30 0,0000150 0,0000250 0,0000292

CABLE30 MS3 0,0007850 0,0003800 0,0008721

0,0008000 0,0004050 0,0008967

(MtrEqEMS + L6) . L20 0,0046464 0,0247281 0,0251609

[MtrEqMS1] + [(MtrEqEMS + L6) . L20] 0,0044561 0,0228266 0,0232575

Documents

Item 06a p1916 0657 4004 Calculation Note Short Circuit Currents_c Ifa