Mode-based Damping Torque Analysis in Power System Low-frequency Oscillations

Jingtian Bi; Huadong Sun; Shiyun Xu; Ruihua Song; Bing Zhao; Qiang Guo

doi:10.17775/CSEEJPES.2020.00990

CSEE Journal of Power and Energy Systems 2023, 9(4): 1337-1347 https://doi.org/10.17775/CSEEJPES.2020.00990

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Open Access | Issue | Published: 06 October 2020

Mode-based Damping Torque Analysis in Power System Low-frequency Oscillations

Show Author's Information Hide Author's Information Jingtian Bi, Huadong Sun(

), Shiyun Xu, Ruihua Song, Bing Zhao, Qiang Guo

State Key Laboratory of Power Grid Safety and Energy Conservation, China Electric Power Research Institute, Beijing 100192, China

Keywords:

Electromechanical oscillation mode, FACTS, interconnection model in the frequency domain, mode-based damping torque analysis (M-DTA), power system low-frequency oscillation, PSS, residue method

Cite this article:

Bi J, Sun H, Xu S, et al. Mode-based Damping Torque Analysis in Power System Low-frequency Oscillations. CSEE Journal of Power and Energy Systems, 2023, 9(4): 1337-1347. https://doi.org/10.17775/CSEEJPES.2020.00990

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Abstract

The mode-based damping torque analysis (M-DTA) method for studying the effect of an external controller on power system low-frequency oscillations is proposed in this paper. First, based on the interconnection model between the system and the controller in the frequency domain, the oscillation loop corresponding to the electromechanical oscillation mode is built, and then the mode-based damping torque of the controller can be calculated. Then, the application of the M-DTA method in the power system is illustrated. The derivation shows that in the single-machine infinite-bus power system, the M-DTA method is completely equivalent to the classical damping torque analysis (C-DTA) method. In the multi-machine power system, the mode-based damping torque directily reflects the effect of the controller on the oscillation mode, overcoming the shortcomings of the C-DTA method in which there is no direct correspondence between the damping torque and the oscillation mode. By deriving the relationship with the residue index, the M-DTA method shows higher accuracy than the residue method in applications, such as controller parameter adjustment. Finally, two example power systems are presented to demonstrate the application of the proposed M-DTA method.

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Mode-based Damping Torque Analysis in Power System Low-frequency Oscillations

Show Author's information Hide Author's Information Jingtian Bi, Huadong Sun(

), Shiyun Xu, Ruihua Song, Bing Zhao, Qiang Guo

State Key Laboratory of Power Grid Safety and Energy Conservation, China Electric Power Research Institute, Beijing 100192, China

Abstract

Keywords: Electromechanical oscillation mode, FACTS, interconnection model in the frequency domain, mode-based damping torque analysis (M-DTA), power system low-frequency oscillation, PSS, residue method

References(29)

[1]

F. P. Demello and C. Concordia, “Concepts of synchronous machine stability as affected by excitation control,” IEEE Transactions on Power Apparatus and Systems, vol. PAS-88, no. 4, pp. 316–329, Apr. 1969.

DOI Google Scholar

[2]

W. G. Heffron and R. A. Phillips, “Effect of a modern amplidyne voltage regulator on underexcited operation of large turbine generators[includes discussion],” Transactions of the American Institute of Electrical Engineers. Part Ⅲ: Power Apparatus and Systems, vol. 71, no. 3, pp. 692–697, Aug. 1952.

DOI Google Scholar

[3]

W. K. Marshall and W. J. Smolinski, “Dynamic stability determination by synchronizing and damping torque analysis,” IEEE Transactions on Power Apparatus and Systems, vol. PAS-92, no. 4, pp. 1239–1246, Jul. 1973.

DOI Google Scholar

[4]

J. Matsuki and T. Okada, “On-line calculation of synchronizing and damping torque coefficients of a synchronous generator,” in Proceedings of the 1st International Conference on Electrical Machines and Drives, 1991, pp. 316–320.

[5]

X. L. Liu, Z. Liu, and H. G. Lou, “Linearized model of the one-machine infinite-bus system considering the effect of damper windings,” Proceedings of the CSEE, vol. 20, no. 10, pp. 41–45, Oct. 2000.

Google Scholar

[6]

J. Liu, X. Y. Li, and G. F. Tang, “Interrelations between SVC voltage control and damping control,” Proceedings of the CSEE, vol. 28, no. 1, pp. 12–17, Jan. 2008.

Google Scholar

[7]

F. P. DeMello and T. F. Laskowski, “Concepts of power system dynamic stability,” IEEE Transactions on Power Apparatus and Systems, vol. 94, no. 3, pp. 827–833, May 1975.

DOI Google Scholar

[8]

H. A. M. Moussa and Y. N. Yu, “Dynamic interaction of multi-machine power system and excitation control,” IEEE Transactions on Power Apparatus and Systems, vol. PAS-93, no. 4, pp. 1150–1158, Jul. 1974.

DOI Google Scholar

[9]

H. B. Gooi, E. F. Hill, M. A. Mobarak, D. H. Thorne, and T. H. Lee, “Coordinated multi-machine stabilizer settings without eigenvalue drift,” IEEE Transactions on Power Apparatus and Systems, vol. PAS-100, no. 8, pp. 3879–3887, Aug. 1981.

DOI Google Scholar

[10]

M. J. Gibbard, “Co-ordinated design of multimachine power system stabilisers based on damping torque concepts,” IEE Proceedings C (Generation, Transmission and Distribution), vol. 135, no. 4, pp. 276–284, Jul. 1988.

DOI Google Scholar

[11]

M. J. Gibbard, “Robust design of fixed-parameter power system stabilisers over a wide range of operating conditions,” IEEE Transactions on Power Systems, vol. 6, no. 2, pp. 794–800, May 1991.

DOI Google Scholar

[12]

P. Pourbeik and M. J. Gibbard, “Damping and synchronizing torques induced on generators by FACTS stabilizers in multimachine power systems,” IEEE Transactions on Power Systems, vol. 11, no. 4, pp. 1920–1925, Nov. 1996.

DOI Google Scholar

[13]

P. Pourbeik and M. J. Gibbard, “Simultaneous coordination of power system stabilizers and FACTS device stabilizers in a multimachine power system for enhancing dynamic performance,” IEEE Transactions on Power Systems, vol. 13, no. 2, pp. 473–479, May 1998.

DOI Google Scholar

[14]

M. J. Gibbard, D. J. Vowles, and P. Pourbeik, “Interactions between, and effectiveness of, power system stabilizers and FACTS device stabilizers in multimachine systems,” IEEE Transactions on Power Systems, vol. 15, no. 2, pp. 748–755, May 2000.

DOI Google Scholar

[15]

F. J. Swift and H. F. Wang, “Static VAr compensator to damp system oscillations in multi-machine power systems,” in Proceedings of the 3rd International Conference on Advances in Power System Control, Operation and Management, 1995, pp. 136–141.

DOI

[16]

H. F. Wang, F. J. Swift, and M. Li, “Analysis of thyristor-controlled phase shifter applied in damping power system oscillations,” International Journal of Electrical Power & Energy Systems, vol. 19, no. 1, pp. 1–9, Jan. 1997.

DOI Google Scholar

[17]

H. F. Wang, F. J. Swift, and M. Li, “Unified model for the analysis of FACTS devices in damping power system oscillations. Ⅱ. Multi-machine power systems,” IEEE Transactions on Power Delivery, vol. 13, no. 4, pp. 1355–1362, Oct. 1998.

DOI Google Scholar

[18]

H. F. Wang, “Selection of operating conditions for the co-ordinated setting of robust fixed-parameter stabilisers,” IEE Proceedings – Generation, Transmission and Distribution, vol. 145, no. 2, pp. 111–116, Mar. 1998.

DOI Google Scholar

[19]

H. F. Wang and F. J. Swift, “Multiple stabilizer setting in multi-machine power systems by the phase compensation method,” International Journal of Electrical Power & Energy Systems, vol. 20, no. 4, pp. 241–246, May 1998.

DOI Google Scholar

[20]

H. F. Wang, “A unified model for the analysis of FACTS devices in damping power system oscillations. Ⅲ. Unified power flow controller,” IEEE Transactions on Power Delivery, vol. 15, no. 3, pp. 978–983, Jul. 2000.

DOI Google Scholar

[21]

F. J. Swift and H. F. Wang, “The connection between modal analysis and electric torque analysis in studying the oscillation stability of multi-machine power systems,” International Journal of Electrical Power & Energy Systems, vol. 19, no. 5, pp. 321–330, Jun. 1997.

DOI Google Scholar

[22]

W. J. Du, J. T. Bi, J. Cao, and H. F. Wang, “A method to examine the impact of grid connection of the DFIGs on power system electromechanical oscillation modes,” IEEE Transactions on Power Systems, vol. 31, no. 5, pp. 3775–3784, Sep. 2016.

DOI Google Scholar

[23]

W. J. Du, J. T. Bi, C. Lv, and T. Littler, “Damping torque analysis of power systems with DFIGs for wind power generation,” IET Renewable Power Generation, vol. 11, no. 1, pp. 10–19, Jan. 2017.

DOI Google Scholar

[24]

W. J. Du, J. T. Bi, T. Wang, and H. F. Wang, “Impact of grid connection of large-scale wind farms on power system small-signal angular stability,” CSEE Journal of Power and Energy Systems, vol. 1, no. 2, pp. 83–89, Jun. 2015.

DOI Google Scholar

[25]

W. J. Du, J. T. Bi, and H. F. Wang, “Small-signal angular stability of power system as affected by grid-connected variable speed wind generators-A survey of recent representative works,” CSEE Journal of Power and Energy Systems, vol. 3, no. 3, pp. 223–231, Sep. 2017.

DOI Google Scholar

[26]

X. F. Wang, Y. H. Song, and M. Irving, Modern Power Systems Analysis. Berlin: Springer, 2008.

DOI

[27]

G. Rogers, Power System Oscillations. New York: Springer, 2000.

DOI

[28]

Y. N. Yu, Electric Power System Dynamics. New York: Academic Press, 1983.

[29]

H. F. Wang and W. J. Du, Analysis and Damping Control of Power System Low-frequency Oscillations. New York: Springer, 2016.

DOI

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Received: 28 March 2020

Revised: 14 May 2020

Accepted: 24 June 2020

Published: 06 October 2020

Issue date: July 2023

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This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).