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Siemens Power Transmission & Distribution, Inc. Power Technologies International Testing and Model Validation of Cumberland Power Plant Leonardo T. G. Lima, James W. Feltes and F. P. de Mello
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09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

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Page 1: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

Siemens Power Transmission & Distribution, Inc.Power Technologies International

Testing and Model Validation of Cumberland Power PlantLeonardo T. G. Lima, James W. Feltes and F. P. de Mello

Page 2: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

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Cumberland Unit 1

Original analog UNITROL static excitation systemRepresented by SCRX model in PSS™E

Page 3: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

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Simulated Open Circuit Response – Unit 1

CHNL# 1: [EFD 4067 [F1HL CMB20.700] [1 ]]

FILE: C:\LocalDocs\...\MWG runs\ESTR_original.out

2.0000

-0.5000

CHNL# 2: [ETRM 4067 [F1HL CMB20.700] [1 ]]

FILE: C:\LocalDocs\...\MWG runs\ESTR_original.out

1.0900

0.99000

CHNL# 1: [EFD 4067 [F1HL CMB20.700] [1 ]]

FILE: ...\MWG runs\ESTR_original ESST1A.out

2.0000

-0.5000

CHNL# 2: [ETRM 4067 [F1HL CMB20.700] [1 ]]

FILE: ...\MWG runs\ESTR_original ESST1A.out

1.0900

0.99000

CHNL# 1: [EFD 4067 [F1HL CMB20.700] [1 ]]

FILE: ...\MWG runs\ESTR_run P_run F.out

2.0000

-0.5000

CHNL# 2: [ETRM 4067 [F1HL CMB20.700] [1 ]]

FILE: ...\MWG runs\ESTR_run P_run F.out

1.0900

0.99000

CUMBERLAND OSCILLATIONS - SEPTEMBER 18 2006

MACHINE X INFINITE BUS - FROM STATE ESTIMATOR

TUE, APR 10 2007 17:23TIME (SECONDS)

SIEMENS POWER

TECHNOLOGIES

INTERNATIONAL

R

0.00.50000

1.00001.5000

2.00002.5000

3.00003.5000

4.00004.5000

5.0000

ORIGINAL SCRX

ESST1A (ABB)

ESST1A (PTI)

ESTR - UNIT 1

Page 4: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

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Cumberland Unit 2

Original (analog) UNITROL static excitation system replaced by the digital versionRepresented by ESST1A model in PSS™E

Page 5: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

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Cumberland Unit 2

Represented by ESST1A model in PSS™E

Page 6: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

1-6

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Simulated Open Circuit Response – Unit 2

CHNL# 5: [EFD 4068 [F2HL CMB20.700] [1 ]]

FILE: C:\LocalDocs\...\MWG runs\ESTR_original.out

2.5000

0.0

CHNL# 6: [ETRM 4068 [F2HL CMB20.700] [1 ]]

FILE: C:\LocalDocs\...\MWG runs\ESTR_original.out

1.0900

0.99000

CHNL# 5: [EFD 4068 [F2HL CMB20.700] [1 ]]

FILE: ...\MWG runs\ESTR_original ESST1A.out

2.5000

0.0

CHNL# 6: [ETRM 4068 [F2HL CMB20.700] [1 ]]

FILE: ...\MWG runs\ESTR_original ESST1A.out

1.0900

0.99000

CHNL# 5: [EFD 4068 [F2HL CMB20.700] [1 ]]

FILE: ...\MWG runs\ESTR_run P_run F.out

2.5000

0.0

CHNL# 6: [ETRM 4068 [F2HL CMB20.700] [1 ]]

FILE: ...\MWG runs\ESTR_run P_run F.out

1.0900

0.99000

CUMBERLAND OSCILLATIONS - SEPTEMBER 18 2006

MACHINE X INFINITE BUS - FROM STATE ESTIMATOR

TUE, APR 10 2007 17:27TIME (SECONDS)

SIEMENS POWER

TECHNOLOGIES

INTERNATIONAL

R

0.00.50000

1.00001.5000

2.00002.5000

3.00003.5000

4.00004.5000

5.0000

ESST1A (ABB)

ESST1A (PTI)

ESTR - UNIT 2

Page 7: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

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Open Circuit Frequency Response of Excitation System

10-3

10-2

10-1

100

101

100

101

102

103

104

Mag

nitu

deOriginal Settings

10-3

10-2

10-1

100

101

-80

-70

-60

-50

-40

-30

-20

-10

0

Pha

se (d

egre

es)

Frequency (Hz)

Page 8: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

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Test Procedure

Focus on excitation system modelNeed to test with the units online

Test procedure based on step changes in excitation system voltage reference TVA agreed to conduct the staged switching of a nearby 500 kV transmission line (Johnsonville – Gleason 500 kV)

Page 9: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

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Switching Off of Johnsonville-Gleason 500 kV

CHNL# 70: [U1A_P]

460.00

410.00

CHNL# 72: [U1B_P]

430.00

380.00

CHNL# 74: [U2A_P]

680.00

630.00

CHNL# 76: [U2B_P]

700.00

650.00

CHNL#’S 52,53,54: ([U1_VAB]+[U1_VBC]+[U1_VCA])/3/21.7

1.0300

0.98000

CHNL#’S 61,62,63: ([U2_VAB]+[U2_VBC]+[U2_VCA])/3/21.7

1.0300

0.98000

OCT 27 2006 18:30:00.000000

WED, MAR 07 2007 18:17TIME (SECONDS)

SIEMENS POWER

TECHNOLOGIES

INTERNATIONAL

R

25.00026.000

27.00028.000

29.00030.000

31.00032.000

33.00034.000

35.000

FILE: C:\LocalDocs\...\TVA\Cumberland Tests\Event Files\1027061830.out

V (UNIT 1)

V (UNIT 2)

U2B

U2A

U1AU1B

Page 10: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

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Switching Off of Johnsonville-Gleason 500 kV

CHNL# 71: [U1A_Q]

80.000

30.000

CHNL# 73: [U1B_Q]

90.000

40.000

CHNL# 75: [U2A_Q]

70.000

20.000

CHNL# 77: [U2B_Q]

90.000

40.000

OCT 27 2006 18:30:00.000000

WED, MAR 07 2007 18:39TIME (SECONDS)

SIEMENS POWER

TECHNOLOGIES

INTERNATIONAL

R

25.00026.000

27.00028.000

29.00030.000

31.00032.000

33.00034.000

35.000

FILE: C:\LocalDocs\...\TVA\Cumberland Tests\Event Files\1027061830.out

U1A

U1B

U2A

U2B

Page 11: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

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5% Step – Unit 2B

CHNL#’S 52,53,54: ([U1_VAB]+[U1_VBC]+[U1_VCA])/3/22

1.0500

0.95000

CHNL# 71: [U1A_Q]

150.00

-100.0

CHNL# 73: [U1B_Q]

150.00

-100.0

CHNL# 70: [U1A_P]

1000.0

0.0

CHNL# 72: [U1B_P]

1000.0

0.0

OCT 27 2006 20:56:25.000000

TUE, NOV 07 2006 9:59TIME (SECONDS)

SIEMENS POWER

TECHNOLOGIES

INTERNATIONAL

R

0.03.5000

7.000010.500

14.00017.500

21.00024.500

28.00031.500

35.000

FILE: 1027062056.OUT

UNIT 1

Page 12: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

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5% Step – Unit 2B

CHNL#’S 61,62,63: ([U2_VAB]+[U2_VBC]+[U2_VCA])/3/22

1.0500

0.95000

CHNL# 75: [U2A_Q]

150.00

-100.0

CHNL# 77: [U2B_Q]

150.00

-100.0

CHNL# 74: [U2A_P]

1000.0

0.0

CHNL# 76: [U2B_P]

1000.0

0.0

OCT 27 2006 20:56:25.000000

TUE, NOV 07 2006 9:59TIME (SECONDS)

SIEMENS POWER

TECHNOLOGIES

INTERNATIONAL

R

0.03.5000

7.000010.500

14.00017.500

21.00024.500

28.00031.500

35.000

FILE: 1027062056.OUT

UNIT 2

Page 13: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

Siemens Power Transmission & Distribution, Inc.Power Technologies International

Identification of Models Cumberland Unit 2

Page 14: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

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Input Data for Optimization6 / NEXT AVAILABLE ICON IN THE SNAPSHOT SMSL.SNP3 / NEXT AVAILABLE VAR IN THE SNAPSHOT SMSL.SNP86 / NEXT AVAILABLE CON IN THE SNAPSHOT SMSL.SNP31 / NEXT AVAILABLE STATE IN THE SNAPSHOT SMSL.SNP15 / NUMBER OF EVENTS3 / NUMBER OF OUTPUT VARIABLES FOR LEAST SQUARE CALCULATION168. / EXCITATION BASE VOLTAGE0.001 / WEIGHT IN FITNESS CALCULATION FOR THE ERROR SQUARED OF OUTPUT #1100.0 / WEIGHT IN FITNESS CALCULATION FOR THE ERROR SQUARED OF OUTPUT #2100.0 / WEIGHT IN FITNESS CALCULATION FOR THE ERROR SQUARED OF OUTPUT #3

E2A 1.06654 0.01 0.3129 0.0052 2 0.492612 0.389462 3.0 3.5 1. 5. E2B 1.06916 0.01 0.1222 -0.0052 2 0.492734 0.314067 3.0 3.5 1. 5. E3A 1.06639 0.1 0.3721 0.0100 2 0.491483 0.400337 3.0 3.5 1. 5. E4A 1.06636 1.1 0.4000 0.0146 2 0.492808 0.399241 3.0 3.5 1. 5. E4B 1.07399 1.1 0.2993 -0.0146 2 0.493860 0.221049 3.0 3.5 1. 5. E5A 1.06641 20.0 0.4355 0.0256 2 0.493598 0.415792 3.0 3.5 1. 5. E5B 1.07879 20.0 0.3046 -0.0256 2 0.494428 0.17172 3.0 3.5 1. 5. E7A 1.06675 0.1 0.4226 0.0050 1 0.490394 0.423850 3.0 3.5 1. 5. E7B 1.06878 0.1 0.3175 -0.0050 1 0.489567 0.522334 3.0 3.5 1. 5. E8A 1.06575 1.1 0.2815 0.0154 1 0.491083 0.414116 3.0 3.5 1. 5. E8B 1.07407 1.1 0.2703 -0.0154 1 0.491266 0.638026 3.0 3.5 1. 5. E9A 1.06678 20.0 0.2266 0.0248 1 0.490858 0.410618 3.0 3.5 1. 5. E9B 1.07899 20.0 0.3303 -0.0248 1 0.490184 0.722502 3.0 3.5 1. 5. E10A 1.06462 5. 15.000 0.0000 1 0.491432 0.358831 10. 15. 1. 1.E10B 1.06473 5. 15.000 0.0000 1 0.490008 0.395182 10. 15. 1. 1.

Page 15: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

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Performance of Optimization Process

0

500

1000

1500

2000

2500

3000

3500

4000

4500

5000

0 10 20 30 40 50 60 70 80 90 100

Generation

Fitn

ess

average Maximum

Page 16: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

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Optimization Results (Best Run)

EVENT FITNESSTERMINAL VOLTAGE

GEN. A FIELD

VOLTAGE

GEN. B FIELD

VOLTAGEE2_up 1.105 0.000025 0.127 1.283E2_dw 1.239 0.000091 0.120 0.765E3_up 4.920 0.000175 0.072 2.227E4_up 19.209 0.000413 0.154 6.493E4_dw 23.162 0.000292 0.178 5.494E5_up 150.246 0.000524 0.639 17.203E5_dw 155.140 0.000813 0.369 14.951E7_up 24.497 0.000049 0.155 0.291E7_dw 10.193 0.000073 0.799 0.336E8_up 170.802 0.000473 0.455 0.198E8_dw 46.680 0.000069 3.375 0.206E9_up 2530.350 0.000364 0.427 0.381E9_dw 464.908 0.000178 5.283 0.393E10_off 524.884 0.000195 0.350 0.651E10_on 417.506 0.000254 0.504 0.753

TOTAL 4544.8396TOTAL FITNESS= 4544.839 FOR 15_GEN 90

LEAST SQUARE ERROR

Page 17: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

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Results

PARAMETER ORIGINAL RUN F1 TR 0 0.0092 VIMAX 0.098 0.1793 VIMIN -0.083 -0.1244 TC/TB 0.11 0.210855 TB 7.27 6.1296 TC1/TB1 0.1428 0.586517 TB1 0.14 1.5728 KA 500 478.309 TA 0.003 0.00410 VAMAX 5.4 6.9811 VAMIN -4.59 -4.1812 KC 0 0.01013 KLR 55 51.9614 ILR 4.416 3.0536 T'd0 4.4 5.07337 T'q0 0.2 1.27538 T"q0 0.05 0.12739 Xq/Xd 0.9373 0.80340240 X'q/Xq 0.3055 0.375073

Page 18: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

1-18

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Cumberland – Unit 2 – Event E9up

CHNL# 6: [OUTPUT # 1]

FILE: E9A_CASE_ 15_GEN 90.OUT

1.0850

1.0600

CHNL# 12: [ETRM BUS 1 MACH ’1 ’]

FILE: E9A_CASE_ 15_GEN 90.OUT

1.0850

1.0600

CHNL# 12: [ETRM BUS 1 MACH ’1 ’]

FILE: ORIGINAL_E9A.OUT

1.0850

1.0600

CUMBERLAND OSCILLATIONS - SEPTEMBER 18 2006

MACHINE X INFINITE BUS - FROM STATE ESTIMATOR

WED, APR 11 2007 14:35TIME (SECONDS)

SIEMENS POWER

TECHNOLOGIES

INTERNATIONAL

R

0.00.30000

0.600000.90000

1.20001.5000

1.80002.1000

2.40002.7000

3.0000

TERMINAL VOLTAGE

Page 19: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

1-19

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Cumberland – Unit 2 – Event E9up

CHNL# 7: [OUTPUT # 2]

FILE: E9A_CASE_ 15_GEN 90.OUT

5.0000

0.0

CHNL# 13: [EFD BUS 1 MACH ’1 ’]

FILE: E9A_CASE_ 15_GEN 90.OUT

5.0000

0.0

CHNL# 13: [EFD BUS 1 MACH ’1 ’]

FILE: ORIGINAL_E9A.OUT

5.0000

0.0

CUMBERLAND OSCILLATIONS - SEPTEMBER 18 2006

MACHINE X INFINITE BUS - FROM STATE ESTIMATOR

WED, APR 11 2007 14:35TIME (SECONDS)

SIEMENS POWER

TECHNOLOGIES

INTERNATIONAL

R

0.00.30000

0.600000.90000

1.20001.5000

1.80002.1000

2.40002.7000

3.0000

EFD GEN. 2A

Page 20: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

1-20

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Cumberland – Unit 2 – Event E9up

CHNL# 8: [OUTPUT # 3]

FILE: E9A_CASE_ 15_GEN 90.OUT

5.0000

0.0

CHNL# 28: [EFD BUS 1 MACH ’2 ’]

FILE: E9A_CASE_ 15_GEN 90.OUT

5.0000

0.0

CHNL# 28: [EFD BUS 1 MACH ’2 ’]

FILE: ORIGINAL_E9A.OUT

5.0000

0.0

CUMBERLAND OSCILLATIONS - SEPTEMBER 18 2006

MACHINE X INFINITE BUS - FROM STATE ESTIMATOR

WED, APR 11 2007 14:35TIME (SECONDS)

SIEMENS POWER

TECHNOLOGIES

INTERNATIONAL

R

0.00.30000

0.600000.90000

1.20001.5000

1.80002.1000

2.40002.7000

3.0000

EFD GEN. 2B

Page 21: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

1-21

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Cumberland – Unit 2 –Event E10off

CHNL# 6: [OUTPUT # 1]

FILE: E10A_CASE_ 15_GEN 90.OUT

1.0850

1.0600

CHNL# 12: [ETRM BUS 1 MACH ’1 ’]

FILE: E10A_CASE_ 15_GEN 90.OUT

1.0850

1.0600

CHNL# 12: [ETRM BUS 1 MACH ’1 ’]

FILE: ORIGINAL_E10A.OUT

1.0850

1.0600

CUMBERLAND OSCILLATIONS - SEPTEMBER 18 2006

MACHINE X INFINITE BUS - FROM STATE ESTIMATOR

WED, APR 11 2007 14:36TIME (SECONDS)

SIEMENS POWER

TECHNOLOGIES

INTERNATIONAL

R

0.01.0000

2.00003.0000

4.00005.0000

6.00007.0000

8.00009.0000

10.000

TERMINAL VOLTAGE

Page 22: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

1-22

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Cumberland – Unit 2 – Event E10off

CHNL# 7: [OUTPUT # 2]

FILE: E10A_CASE_ 15_GEN 90.OUT

5.0000

0.0

CHNL# 13: [EFD BUS 1 MACH ’1 ’]

FILE: E10A_CASE_ 15_GEN 90.OUT

5.0000

0.0

CHNL# 13: [EFD BUS 1 MACH ’1 ’]

FILE: ORIGINAL_E10A.OUT

5.0000

0.0

CUMBERLAND OSCILLATIONS - SEPTEMBER 18 2006

MACHINE X INFINITE BUS - FROM STATE ESTIMATOR

WED, APR 11 2007 14:36TIME (SECONDS)

SIEMENS POWER

TECHNOLOGIES

INTERNATIONAL

R

0.01.0000

2.00003.0000

4.00005.0000

6.00007.0000

8.00009.0000

10.000

EFD GEN. 2A

Page 23: 09-Cumberlin Testing & Model Validation Analysis and Modeling Subcommitte… · Original analog UNITROL static excitation system ... (ABB) ESST1A (PTI) ... 1000.0 OCT 27 2006 20:56:25.000000

© 2007 Siemens Power Transmissions & Distribution, Inc. All rights reserved Power Technologies International

1-23

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Cumberland – Unit 2 – Event E10off

CHNL# 8: [OUTPUT # 3]

FILE: E10A_CASE_ 15_GEN 90.OUT

5.0000

0.0

CHNL# 28: [EFD BUS 1 MACH ’2 ’]

FILE: E10A_CASE_ 15_GEN 90.OUT

5.0000

0.0

CHNL# 28: [EFD BUS 1 MACH ’2 ’]

FILE: ORIGINAL_E10A.OUT

5.0000

0.0

CUMBERLAND OSCILLATIONS - SEPTEMBER 18 2006

MACHINE X INFINITE BUS - FROM STATE ESTIMATOR

WED, APR 11 2007 14:36TIME (SECONDS)

SIEMENS POWER

TECHNOLOGIES

INTERNATIONAL

R

0.01.0000

2.00003.0000

4.00005.0000

6.00007.0000

8.00009.0000

10.000

EFD GEN. 2B

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Siemens Power Transmission & Distribution, Inc.Power Technologies International

Identification of Models Cumberland Unit 1

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ResultsEVENT ID FITNESS

VOLTAGE ERROR

GEN. A EFD

ERROR

GEN. B EFD

ERROR E2A 0.026 0.000198 22.582 21.458E2B 0.020 0.000253 33.519 14.175E3A 0.010 0.000517 20.149 25.569E3B 0.012 0.000437 38.585 12.616E4A 0.021 0.002648 14.267 42.567E4B 0.015 0.003764 69.030 6.008E5A 0.005 0.012670 22.950 73.918E5B 0.005 0.012260 139.929 4.083E6A 0.875 0.035628 76.756 211.029E6B 0.751 0.042577 278.554 27.650E7A 0.112 0.000456 31.584 16.442E7B 0.145 0.000350 17.996 29.037E8A 2.675 0.010877 102.968 29.980E8B 2.419 0.011853 7.800 153.506E9A 0.181 0.017444 3.074 3.494E9B 0.082 0.011623 13.854 11.932E10A 0.078 0.001415 0.596 1.749E10B 0.079 0.000744 2.647 6.003E11A 0.063 0.002075 0.501 2.052E11B 0.031 0.003170 2.997 3.643E12A 20.643 0.005984 2.206 5.932E12B 45.260 0.001216 8.747 15.390E13A 0.060 0.001323 1.675 2.754E13B 0.025 0.002659 6.984 9.223E14A 0.046 0.002757 2.717 0.923E14B 0.037 0.001819 1.126 9.088E15A 15.987 0.007339 7.999 2.901E15B 9.791 0.007640 5.831 24.970

TOTAL 99.452TOTAL FITNESS= 99.4515 FOR 31_GEN 898

LEAST SQUARE ERROR

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Optimization Results (Best Run)PARAMETER RUN P

1 TR 0.0012 VIMAX 0.1253 VIMIN -0.1364 TC/TB 0.17395 TB 11.4966 TC1/TB1 0.663057 TB1 3.9968 KA 158.929 TA 0.05010 VAMAX 6.4611 VAMIN -3.1012 KC 0.07313 KLR 58.6514 ILR 4.9729 XCOMP 0.04036 T'd0 4.00437 T'q0 0.20038 T"q0 0.16639 Xq/Xd 0.88950140 X'q/Xq 0.576833

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Cumberland Unit 1 – Event E15up

CHNL# 6: [OUTPUT # 1]

FILE: E15A_CASE_ 31_GEN 898.OUT

1.1000

1.0500

CHNL# 12: [ETRM BUS 1 MACH ’1 ’]

FILE: E15A_CASE_ 31_GEN 898.OUT

1.1000

1.0500

CHNL# 12: [ETRM BUS 1 MACH ’1 ’]

FILE: ORIGINAL_E15A.OUT

1.1000

1.0500

CHNL# 12: [ETRM BUS 1 MACH ’1 ’]

FILE: ORIGINAL_ESST1A_E15A.OUT

1.1000

1.0500

CUMBERLAND OSCILLATIONS - SEPTEMBER 18 2006

MACHINE X INFINITE BUS - FROM STATE ESTIMATOR

WED, APR 11 2007 9:48TIME (SECONDS)

SIEMENS POWER

TECHNOLOGIES

INTERNATIONAL

R

0.00.50000

1.00001.5000

2.00002.5000

3.00003.5000

4.00004.5000

5.0000

TERMINAL VOLTAGE

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Cumberland Unit 1 – Event E15up

CHNL# 7: [OUTPUT # 2]

FILE: E15A_CASE_ 31_GEN 898.OUT

5.0000

0.0

CHNL# 13: [EFD BUS 1 MACH ’1 ’]

FILE: E15A_CASE_ 31_GEN 898.OUT

5.0000

0.0

CHNL# 13: [EFD BUS 1 MACH ’1 ’]

FILE: ORIGINAL_E15A.OUT

5.0000

0.0

CHNL# 13: [EFD BUS 1 MACH ’1 ’]

FILE: ORIGINAL_ESST1A_E15A.OUT

5.0000

0.0

CUMBERLAND OSCILLATIONS - SEPTEMBER 18 2006

MACHINE X INFINITE BUS - FROM STATE ESTIMATOR

WED, APR 11 2007 9:48TIME (SECONDS)

SIEMENS POWER

TECHNOLOGIES

INTERNATIONAL

R

0.00.50000

1.00001.5000

2.00002.5000

3.00003.5000

4.00004.5000

5.0000

EFD GEN. 1A

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Cumberland Unit 1 – Event E15up

CHNL# 8: [OUTPUT # 3]

FILE: E15A_CASE_ 31_GEN 898.OUT

5.0000

0.0

CHNL# 26: [EFD BUS 1 MACH ’2 ’]

FILE: E15A_CASE_ 31_GEN 898.OUT

5.0000

0.0

CHNL# 26: [EFD BUS 1 MACH ’2 ’]

FILE: ORIGINAL_E15A.OUT

5.0000

0.0

CHNL# 26: [EFD BUS 1 MACH ’2 ’]

FILE: ORIGINAL_ESST1A_E15A.OUT

5.0000

0.0

CUMBERLAND OSCILLATIONS - SEPTEMBER 18 2006

MACHINE X INFINITE BUS - FROM STATE ESTIMATOR

WED, APR 11 2007 9:48TIME (SECONDS)

SIEMENS POWER

TECHNOLOGIES

INTERNATIONAL

R

0.00.50000

1.00001.5000

2.00002.5000

3.00003.5000

4.00004.5000

5.0000

EFD GEN. 1B

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Cumberland Unit 1 – Event E6up

CHNL# 6: [OUTPUT # 1]

FILE: E6A_CASE_ 31_GEN 898.OUT

1.0750

1.0250

CHNL# 12: [ETRM BUS 1 MACH ’1 ’]

FILE: E6A_CASE_ 31_GEN 898.OUT

1.0750

1.0250

CHNL# 12: [ETRM BUS 1 MACH ’1 ’]

FILE: ORIGINAL_E6A.OUT

1.0750

1.0250

CHNL# 12: [ETRM BUS 1 MACH ’1 ’]

FILE: ORIGINAL_ESST1A_E6A.OUT

1.0750

1.0250

CUMBERLAND OSCILLATIONS - SEPTEMBER 18 2006

MACHINE X INFINITE BUS - FROM STATE ESTIMATOR

WED, APR 11 2007 11:46TIME (SECONDS)

SIEMENS POWER

TECHNOLOGIES

INTERNATIONAL

R

0.00.50000

1.00001.5000

2.00002.5000

3.00003.5000

4.00004.5000

5.0000

TERMINAL VOLTAGE

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Cumberland Unit 1 – Event E6up

CHNL# 7: [OUTPUT # 2]

FILE: E6A_CASE_ 31_GEN 898.OUT

5.0000

0.0

CHNL# 13: [EFD BUS 1 MACH ’1 ’]

FILE: E6A_CASE_ 31_GEN 898.OUT

5.0000

0.0

CHNL# 13: [EFD BUS 1 MACH ’1 ’]

FILE: ORIGINAL_E6A.OUT

5.0000

0.0

CHNL# 13: [EFD BUS 1 MACH ’1 ’]

FILE: ORIGINAL_ESST1A_E6A.OUT

5.0000

0.0

CUMBERLAND OSCILLATIONS - SEPTEMBER 18 2006

MACHINE X INFINITE BUS - FROM STATE ESTIMATOR

WED, APR 11 2007 11:46TIME (SECONDS)

SIEMENS POWER

TECHNOLOGIES

INTERNATIONAL

R

0.00.50000

1.00001.5000

2.00002.5000

3.00003.5000

4.00004.5000

5.0000

EFD GEN. 1A

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Cumberland Unit 1 – Event E6up

CHNL# 8: [OUTPUT # 3]

FILE: E6A_CASE_ 31_GEN 898.OUT

5.0000

0.0

CHNL# 26: [EFD BUS 1 MACH ’2 ’]

FILE: E6A_CASE_ 31_GEN 898.OUT

5.0000

0.0

CHNL# 26: [EFD BUS 1 MACH ’2 ’]

FILE: ORIGINAL_E6A.OUT

5.0000

0.0

CHNL# 26: [EFD BUS 1 MACH ’2 ’]

FILE: ORIGINAL_ESST1A_E6A.OUT

5.0000

0.0

CUMBERLAND OSCILLATIONS - SEPTEMBER 18 2006

MACHINE X INFINITE BUS - FROM STATE ESTIMATOR

WED, APR 11 2007 11:46TIME (SECONDS)

SIEMENS POWER

TECHNOLOGIES

INTERNATIONAL

R

0.00.50000

1.00001.5000

2.00002.5000

3.00003.5000

4.00004.5000

5.0000

EFD GEN. 1B

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Conclusions and Recommendations

Updated simulation models for excitation systems and generators at Cumberland Power PlantSimulation results are still showing more damping than actual eventCumberland Power Plant shows poorly damped oscillations (less than 5% damping ratio) under normal operating conditions (full power output, intact 500 kV system)Power system stabilizers (PSS) are recommended for Cumberland Power Plant

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Siemens Power Transmission & Distribution, Inc.Power Technologies International

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Cumberland versus Infinite System

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Cumberland versus Infinite System

CHNL# 7: [POWR 4067 [F1HL CMB20.700] [1 ]]

FILE: ...\MWG runs\SMIB_run P_run F.out

7.5000

5.0000

CHNL# 7: [POWR 4067 [F1HL CMB20.700] [1 ]]

FILE: ...\MWG runs\SMIB_run P(K=207)_run F.out

7.5000

5.0000

CHNL# 7: [POWR 4067 [F1HL CMB20.700] [1 ]]

FILE: ...\MWG runs\SMIB_run P (TB=8)_run F.out

7.5000

5.0000

CUMBERLAND OSCILLATIONS - SEPTEMBER 18 2006

MACHINE X INFINITE BUS - FROM STATE ESTIMATOR

WED, APR 11 2007 16:56TIME (SECONDS)

SIEMENS POWER

TECHNOLOGIES

INTERNATIONAL

R

0.06.0000

12.00018.000

24.00030.000

36.00042.000

48.00054.000

60.000

ELECTRICAL POWER - U1A

KA = 159 p.u.

TB = 11.5 s

KA = 207 p.u.

TB = 11.5 s

KA = 159 p.u.

TB = 8.0 s

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Siemens Power Transmission & Distribution, Inc.Power Technologies International

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Governor Response and System Droop

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Frequency Response

Cumberland Event\CD of Cumberland\Recorded Oscillations\Frequency plots\Hopkinsville.pptCumberland Event\CD of Cumberland\Recorded Oscillations\Frequency plots\AllUnits_918.pptCumberland Event\CD of Cumberland\Recorded Oscillations\Frequency plots\Nashville.ppt