A Simple Lyapunov Function Based Control Strategy for Coordinated Transient Stability Enhancement of Power Systems

Fombu Andrew Muluh, Clotaire Thierry Sanjong Dagang, Pesdjock Mathieu Jean Pierre, Sonfack Lionel Leroy, Kenne Godpromesse

Abstract


Transient stability is still a serious impediment in power system operation due to their highly nonlinear nature. Over the last decades, a vast number of diverse nonlinear control algorithms for sub-controllers located at the generator subsystem and transmission lines have been developed to boost power system stability. However, for an effective and feasible operation of these power systems, coordination of these sub-controllers is very essential. In this paper, a simple direct Lyapunov based approach for coordinated control is proposed for global enhancement of power system stability. The proposed control scheme is achieved through the coordination of Lyapunov based decentralized steam valve, excitation and SSSC adaptive controllers. To test the efficacy of the proposed scheme, several comparisons in multi-machine fault scenarios with other design coordinated approaches are presented. Numerical simulations demonstrate the swiftness and efficacy of the proposed control scheme in boosting global stability.

Keywords


Lyapunov Function; Multi-Machine Power System; Global Stability; Coordinated Control

References


Kanchanaharuthai, “Immersion and invariance-based nonlinear dual-excitation and steam-valving control of synchronous generators,” International Transactions on Electrical Energy Systems, vol. 24, Issue 12, pp. 1671–1687, 2013.

W. Y. Wan, J. Zhao, and G. M. Dimirovski, “Nonlinear adaptive control for multi-machine power systems with boilerturbine-generator unit,” International Transactions on Electrical Energy Systems, vol. 25, Issue 5, pp. 859–875, 2015.

G. Yi, H. David, J., and W. Youyi, “Nonlinear decentralized control of large power systems,” Automatica, vol. 36, pp. 1275–1289, 2000.

A. M. Fombu, G. Kenne, J. d. D. Nguimfack-Ndongmo, and R. Kuate-Fochie, “Decentralized nonlinear coordinated excitation and steam valve adaptive control for multi-machine power system,” Electrical Power and Energy Systems, vol. 75, pp. 117–126, 2016.

G. Kenne, A. M. Fombu, and J. d. D. Nguimfack-Ndongmo, “Coordinated excitation and steam valve control for multimachine power system using high order sliding mode technique,” Electrical Power Systems Research, vol. 131C, pp. 87–95, doi:10.1016/j.epsr.2015.10.003, 2016.

S. Li, X. Liu, and X. Liu, “The coordinated immersion and variance control of power systems with excitation and steamvalve, ”Journal of Dynamic Systems, Measurement, and Control, vol. 140, 2017.

L. Qiang, Nonlinear control system and power system dyanamics. Kluwer Academic Publishers, 2001.

M. Jin, W. Hu, F. Liu, S. Mei, and Q. Lu, “Nonlinear co-ordinated control of excitation and governor for hydraulic power plant,” IEE Proc. Gener. Transm. Distrib., vol. 152, pp. 544–548, July 2005.

E. Zhou, “Application of static var compensator to increase power system damping,” IEEE Trans. Power Syst, vol. 8, N0.2, pp. 655–61, 1993.

X. Zairong and L. James, “Stabilization of generalized hamiltonian systems with internally generated energy and application to power systems,” Nonlinear Analysis: Real World Application, vol. 9, pp. 1202– 1223, 2008.

W. Du, H. Wang, J. Cao, and L. Xiao, “Robustness of an energy storage system-based stabiliser to suppress inter-area oscillations in a multi-machine power system,” IET Generation, Transmission & Distribution, vol. 6, Issue 4, pp. 339–351, 2012.

B. Singh, S. Murthy, R. Chilipi, S. Madishetti, and G. Bhuvaneswari, “Static synchronous compensator variable frequency drive for voltage and frequency control of small-hydro driven self-excited induction generators system, ”IET Generation, Transmission & Distribution, vol. 8, Iss. 9, pp. 1528–1538, 2014.

H. F. Wang, “Static synchronous series compensator to damp systems oscillations,” Electrical Power Systems Research, vol. 54, pp. 113–119, 2000.

J. d. D. Nguimfack-Ndongmo, G. Kenne, R. Kuate-Fochie, A. Cheukem, F. H. Bertrand, and F. Lamnabhi Lagarrigue, “A simplified nonlinear controller for transient stability enhancement of multimachine power systems using SSSC device,” Electrical Power and Energy Systems, vol. 54, pp. 650–657, 2014.

M. Khalilian, M. Mokhtari, S. Golshannavaz, and D. Nazarpour, “Distributed static series compensator (DSSC) for subsynchronous resonance alleviation and power oscillation damping,” European Transactions on Electrical power, vol. 22, Issue 5, pp. 589–600, 2011.

L. Kang and J. Wang, “Nonlinear multi-index coordinated control of generator excitation and battery energy storage system,” European Transactions on Electrical power, vol. 22, Issue 6, pp. 758–770, 2011.

A. A. Hashmani, Y. Wang, and T. Lie, “Enhancement of power system transient stability using a nonlinear coordinated excitation and TCPS controller,” Electrical Power and Energy Systems, vol. 24, pp. 201–214, 2002.

G. Lihong and J. Wang, “Nonlinear coordinated control design of excitation and STATCOM of power systems, ”Electric Power Systems Research, vol. 77, pp. 788–796, 2007.

L. Cong, Y. Wang, and D. Hill, “Transient stability and voltage regulation enhancement via coordinated control of generator excitation and SVC,” Electrical Power and Energy Systems, vol. 27, pp. 121–130, 2005.

G. Zhang and Y. Wang, “Global control of power system for transient stability enhancement and voltage regulation, ”15th PSCC, Liege, pp. 22–26, August 2005.

T. Nguyen and R. Gianto, “Optimal design for control coordination of power system stabilisers and flexible alternating current transmission system devices with controller saturation limits,” IET Generation, Transmission & Distribution, vol. 4, Issue 9, pp. 1028–1043, 2010.

T. Nguyen and R. Gianto, “Neural networks for adaptive control coordination of PSSs and FACTS devices in multimachine power system,” IET Generation, Transmission & Distribution, vol. 2, Issue 3, pp. 355–372, 2008.

T. Nguyen and R. Gianto, “Optimisation-based control coordination of PSSs and FACTS devices for optimal oscillations damping in multi-machine power system, ”IET Generation, Transmission & Distribution, vol. 1, Issue 4, pp. 564– 573, 2007.

X. Lei, E. Lerch, and D. Povl, “Optimization and coordination of damping control for improving system dynamic performance,” IEEE Trans. Power Syst, vol. 16, N0.3, pp. 473–80, 2001.

E. Ali and S. Abd-Elazim, “Stability improvement of multimachine power system via new coordinated design of PSSs and SVC,” Inc. Complexity, vol. 21, Issue 2, pp. 256–266, 2015.

A. R. Mahran, B. W. Hogg, and M. L. El-Sayed, “Co-ordinated control of synchronous generator excitation and static var compensation,” IEEE Trans. Energy Convers, vol. 7, N0.4, pp. 615–21, 1992.

P. Pourbeik and M. J. Gibbard, “Simultaneous coordination of power system stabilizers and FACTS device stabilizer in a multimachine power system for enhancing dynamic performance,” IEEE Trans. Power Syst, vol. 13, N0.2, pp. 473–9, 1998.

S. Joseph, J. David, and N. Yixin, “Global power system control using generator excitation, PSS, FACTS devices and capacitor switching,” Electrical Power and Energy Systems, vol. 27, pp. 448–464, 2005.

Y. Wang, L. Yoke, and G. Guoxiao, “Robust nonlinear coordinated generator excitation and SVC control for power systems,” Electrical Power and Energy Systems, vol. 24, pp. 187–195, 2000.

S. Abd-Elazim and E. Ali, “Coordinated design of PSSs and SVC via bacteria foraging optimization algorithm in a multimachine power system,” International Journal of Electrical Power Energy Systems, vol. 41, no. 1, pp. 44–53, 2012.

S. Abd Elazim and E. Ali, “Optimal SSSC design for damping power systems oscillations via gravitational search algorithm,” International Journal of Electrical Power Energy Systems, vol. 82, pp. 161–168,2016.

E. Ali and S. Abd-Elazim, “Coordinated design of PSSs and TCSC via bacterial swarm optimization algorithm in a multimachine power system,” International Journal of Electrical Power Energy Systems, vol. 36, no. 1, pp. 84–92, 2012.

S. Yu, T. Chau, T. Fernando, A. V. Savkin, and H. H. C. Iu, “Novel quasi-decentralized SMC-based frequency and voltage stability enhancement strategies using valve position control and facts device,” IEEE Access, vol. 5, pp. 946–955, 2017.

Y. Yu, Electric power system dynamics. Academic Press, 1983.

L. Bin and O. Boon-Teck, “Nonlinear control of voltage-source converter systems,” IEEE Transactions on power electronics, vol. 22, N0.4, pp. 1186–1195, 2007.

L. Bangjun and F. Shumin, “A brand new nonlinear robust control design of SSSC for transient stability and damping improvement of multi-machine power systems via pseudo-generalized Hamiltonian theory,” Control Engineering Practice, vol. 29, pp. 147–157, 2014.

G. Kenne, J. d. D. Nguimfack-Ndongmo, R. F. Kuate, and H. B. Fotsin, “Online simplified nonlinear controller for transient stabilization enhancement of DFIG in multi-machine power systems,” IEEE Transactions on Automatic control, vol. 60, pp. 2464–2469, 2015.

A. Levant, “Robust exact differentiation via sliding mode technique,” Automatica, vol. 34, pp. 379–384, 1998.

P. Kundur, Power systems stability and control. NewYork: McGraw-Hill Inc, 1994.


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