Performance of Controller Designs in Small-Disturbance Angle Stability of Power Systems with Parametric Uncertainties
Keywords:angle stability, automatic generation control, controller design, parametric uncertainties
The electric power system is a complicated dynamic system with a range of operating states and parametric uncertainties, especially due to change of the network topology, load increment and generation scheduling. Under this circumstance, traditional power system transient stability analysis methods may not always be appropriate. This paper presents the development of a computational methodology for evaluating the effect of parametric uncertainties on the small-signal stability analysis of power systems. A probabilistic approach is applied as a metric for the dynamic performance of the damping ratio of critical eigenvalues. The method is based on a Monte Carlo simulation for the analysis of automatic control of generation. The methodology is used for the performance evaluation of three classical controller tuning techniques: Frequency Response, Approximate Method and Ziegler-Nichols. The results show that the methodology is valid and potentially useful for quantifying the effect of parametric uncertainties in power systems dynamics simulations.
W. Huang, D. J. Hill and X. Zhang, “Small-Disturbance Voltage Stability of Power Systems: Dependence on Network Structure,” in IEEE Transactions on Power Systems. vol. 35, no. 4, pp. 2609-2618, Jul. 2020.
M. E. C. Bento, D. Dotta, ·R. Kuiava and·R. A. Ramos, “Robust design of coordinated decentralized damping controllers for power systems,” in International Journal of Advanced Manufacturing Technology. vol. 99, no. 5-8, pp. 2035-2044, Nov. 2018.
Y. Xu, J. Ma, Z. Yang Dong and D. J. Hill, “Robust Transient Stability- Constrained Optimal Power Flow with Uncertain Dynamic Loads,” in IEEE Transactions on Smart Grid. vol. 8, no. 4, pp. 1911-1921, Jul. 2017.
H. Yuan and Y. Xu, “Preventive-Corrective Coordinated Transient Stability Dispatch of Power Systems with Uncertain Wind Power,” in IEEE Transactions on Power Systems. vol. 35, no. 5, pp. 3616-3626, Set. 2020.
M. R. Licea, I. Cervantes, “Robust indirect-defined envelope control for rollover and lateral skid prevention”, in Control Engineering Practice, vol. 61, pp. 149-162, Apr. 2017.
Y. Pan, F. Liu, L. Chen, J. Wang, F. Qiu, C. Shen and S. Mei, “Towards the Robust Small-Signal Stability Region of Power Systems Under Perturbations Such as Uncertain and Volatile Wind Generation,” in IEEE Transactions on Power Systems, vol. 32, no. 2, pp. 1790-1799, Mar. 2018.
C. Wang, L. Shi, L. Yao, L. Wang, Y. Ni, and M. Bazargan, “Modelling analysis in power system small signal stability considering uncertainty of wind generation,” in IEEE PES General Meeting, pp. 1-7, Jul. 2010.
S. Bu, W. Du, H. Wang, Z. Chen, L. Xiao, and H. Li, “Probabilistic analysis of small-signal stability of large-scale power systems as affected by penetration of wind generation,” in IEEE Transactions on Power Systems. vol. 27, no. 2, pp. 762-770, May. 2012.
B. Yuan, M. Zhou, G. Li, and X. Zhang, “Stochastic small-signal stability of power systems with wind power generation,” in IEEE Transactions on Power Systems. vol. 30, no. 4, pp. 1680-1689, Jul. 2015.
R. Preece, K. Huang and J. V. Milanovi´c, “Probabilistic Small-Disturbance Stability Assessment of Uncertain Power Systems Using Efficient Estimation Methods,” in IEEE Transactions on Power Systems. vol. 29, no. 5, pp. 2509-2517, Sep. 2014.
B. Pal and B. Chaudhuri, “Robust Control in Power Systems”. New York, NY, USA: Springer, 2005.
D. Zhai, Q. Zhang and G. Liu, “Robust stability analysis of linear systems with parametric uncertainty,” in International Journal of Systems Science, vol. 43, no. 9, pp. 1683-1688, Jan. 2012.
H. Xin, D. Gan and J. Qiu, Y. Ni, “A method for analyzing the impact of parameter uncertainties on transient stability,” in Proceedings of the Chinese Society of Electrical Engineering, vol. 26, no. 20, pp. 15-21, Oct.
H. Xin, D. Gan and J. Qiu, Z. Qu, Y. Ni, “Methods for estimating stability regions with application to power systems,” in European Transactions on Electrical Power, vol. 17, no. 2, pp. 113-133, Sep. 2006.
T. Odun-Ayo and and M.L. Crow, “Structure-preserved power system transient stability using stochastic energy functions,” in IEEE Transactions on Power Systems, vol. 27, no. 3, pp. 1450-1458, Aug. 2012.
J. Liu, J. Liu, J. Zhang, W. Fang and L. Qu, “Power system stochastic transient stability assessment based on Monte Carlo simulation,” in The Journal of Engineering, vol. 2019, no. 16, pp. 2051-3305, Apr. 2019.
H. Huang, C. Y. Chung, K. W. Chan and H. Chen, “Quasi-Monte Carlo Based Probabilistic Small Signal Stability Analysis for Power Systems with Plug-In Electric Vehicle and Wind Power Integration,” in IEEE Transactions on Power Systems, vol. 28, no. 3, pp. 3335-3343, Aug. 2013.
X.Y. Bian, X.X. Huang, K.C. Wong, K.L. Lo, Yang Fu and S.H. Xuan, “Improvement on probabilistic small-signal stability of power system with large-scale wind farm integration,” in International Journal of Electrical Power Energy Systems, vol. 61, pp. 482-488, Oct. 2014.
J. Astrom Karl and H. Tore. PID Controllers: Theory, Design, and Tuning. Publisher: ISA, 1995.
P. Kundur. Power System Stability and Control. 2. ed. [S.l.]: McGraw-Hill, 1994.