Design of wide area fractional-order PID damping controller for inter-area low-frequency oscillations using differential evolution

Saleh M. Bamasak, Sreerama R. Kumar, Yusuf A. Al-Turki


A Wide Area Measurement System (WAMS) can extend and effectively improve a controllers’
capability of damping inter-area low-frequency oscillations in interconnected power systems. This
paper presents an implementation of a Wide Area Fractional-Order Proportional-Integral-Derivative
(WA-FOPID) damping controller to improve the system damping. A modal analysis approach is
proposed to identify the best location for the WA-FOPID controller and the optimal combination
of input signals. The differential evolution optimization algorithm is used to determine the optimal
controller parameters, and a nonlinear time-domain-based objective function is formulated to
minimize the time-weighted errors. The proposed approach is successfully applied to a two-area
four-machine system, as well as to a practical multi-area power system. The nonlinear timedomain
simulations indicate that the proposed WA-FOPID damping controller can effectively
dampen inter-area oscillations and improve system stability, irrespective of the severity or location
of disturbances.


Differential Evolution (DE); Fractional-Order PID (FOPID); Oscillation Damping; Phasor Measurement Unit (PMU); Wide Area Damping Controller (WADC)

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Aboul-Ela, M., Sallam, A., McCalley, J. & Fouad, A. 1996. Damping controller design for power system

oscillations using global signals. IEEE Trans. Power Syst., 11, Pp. 767–773.

Ahuja, A. & Aggarwal, S. K. 2014. Design of fractional order PID controller for DC motor using evolutionary

optimization techniques. Wseas Transactions on Systems And Control, 9, Pp. 171–182.

Al-Hajji, M. & Abido, M. 2014 "Systematic Approach for Dynamic Equivalents Development of Large-

Scale Power System Using PSS/E ," GCC CIGRE, 10th International Conference, Bahrain.

Arya, Y. & Kumar, N. 2017. BFOA-scaled fractional order fuzzy PID controller applied to AGC of multi-area

multi-source electric power generating systems. Swarm and Evolutionary Computation, 32, pp.202–218.

Bamasak, S. M. & Bensenouci, A. 2014. Tuning of fractional order PID controller for TCSC-based stabilizer

using PSO for power system oscillation damping. IEEE International Energy Conference, Pp. 262–266.

deMello, F. & Concordia, C. 1969. Concepts of Synchronous Machine Stability as Affected by Excitation

Control. IEEE Trans., 88, Pp. 316–329.

Domínguez-García, J. L., Ugalde-Loo, C. E., Bianchi, F. & Gomis-Bellmunt, O. 2014. Input–output

signal selection for damping of power system oscillations using wind power plants. International Journal

of Electrical Power & Energy Systems, 58, 75–84.

Huang, Y. & Xu , Z. 2004. HVDC supplementary controller based on synchronized phasor measurement

units. Power Systems Conference and Exposition Pp. 668–672.

Kamwa, I., Grondin, R. & Hébert, Y. 2001. Wide-area measurement based stabilizing control of large

power systems-a decentralized/hierarchical approach. IEEE Transactions on Power Systems, 16(1), Pp.


Kundur, P. 1994. Power system stability and control. (Vol. 7). (a. M. Eds. Neal J. Balu, Ed.) New York:


Lee, D. C., Baker, D. H. & Bess, K. C. 1992. IEEE Recommended practice for excitation system models

for power system stability studies. Energy development and power generation committee of power

engineering society.

Lin, Y.J. 2013. Proportional plus derivative output feedback based fuzzy logic power system stabiliser.

International Journal of Electrical Power & Energy Systems, 44(1), Pp. 301–307.

Liu, Y., Zhijian , H., Jianglei , S. & Ji , D. 2014. Design method of wide-area damping controller based on

FOA algorithm. Intelligent Control and Automation (WCICA) Pp. 4893–4897.

Lokman, H. H., Moghavvemi, M. & Almurib, H. A. 2013. Current state of neural networks applications in

power system monitoring and control. International Journal of Electrical Power & Energy Systems, 51,

Pp. 134–144.

Ma, J., Wang, T., Yan, W. & Wang, Z. 2014. Design of wide-area robust damping controller based on the

non-convex stable region for inter-area oscillations. International Journal of Electrical Power & Energy

Systems, 55, Pp. 473–480.

Morsali, J., Kazemzadeh , R. & Azizian, M. R. 2015. Introducing FOPID-PSS to increase small-signal

stability of multi-machine power system. IEEE 23rd Iranian Conference on Electrical Engineering, Pp.


Morsali, J., Zare, K. & Hagh, M.T. 2017. Applying fractional order PID to design TCSC-based damping

controller in coordination with automatic generation control of interconnected multi-source power

system. Engineering Science and Technology, an International Journal, 20(1), pp.1–17.

Podludny, I. 1999. Fractional-order systems and controllers. IEEE Transactions on Automatic Control, 44,


Rainer, S. & Price, K. 1995. Differential evolution-a simple and efficient adaptive scheme for global

optimization over continuous spaces (Vol. 3). Berkeley: ICSI.

Sauer , P. W. & Pai, M. A. 1998. Power system Dynamics and Stability. Prentice Hall.

Shafiullah, M., Abido, M. A. & Coelho, L. S. 2015. Design of Robust PSS in Multimachine Power Systems

using Backtracking Search Algorithm. 18th International Conference on Intelligent System Application

to Power System, Pp. 1–6. Portugal.

TRICAUD C. & Y.Q. CHEN. 2010. An approximation method for numerically solving fractional order

optimal control problems of general form. Computers & Mathematics with Applications, 59, pp. 1644–

Vilanova, R. & Visioli, A. 2012. PID Control in the Third Millennium: Lessons Learned and New Approaches.


Xiao, F., Sun, Y., Yang, F. & Cheng, L. 2007. Inter-area damping controller design based on mode

controllability and observability. International Power Engineering Conference, IPEC, Pp. 95–99.

Yousefian, R., Sahami, A. & Kamalasadan, S. 2017. Hybrid Transient Energy Function-Based Real-Time

Optimal Wide-Area Damping Controller. IEEE Transactions on Industry Applications, 53(2), pp.1506–

Yu, Y. N. 1983. Electric power system dynamics. NEW YORK, USA: ACADEMIC PRESS.

Yu Y. & El-Sharkawi M. 1981. Estimation of External Dynamic Equivalents of a Thirteen-Machine System,”

IEEE Transactions on Power Apparatus and Systems, vol. PAS-100, Mar. 1981, pp. 1324–1332.

Yuan, Y., Sun, Y. & Cheng, L. 2008. Determination of wide-area PSS locations and feedback signals using

improved residue matrices. IEEE Asia Pacific Conference on Circuits and Systems APCCAS, Pp. 762–

Zamani, A., Barakati, S.M. & Yousofi-Darmian, S. 2016. Design of a fractional order PID controller using

GBMO algorithm for load–frequency control with governor saturation consideration. ISA transactions, 64,


Zhang, Y. & Bose, A. 2008. Design of Wide-Area Damping Controllers for Interarea Oscillations. IEEE

Trans. on Power Systems, 23(3), Pp. 231–245.

Zhao, Y., Gao, Y., Hu, Z., Zhan, J. & Zhang, Y. 2009. Damping inter area oscillations of power systems by a

fractional order PID controller. IEEE International Conference on. Energy and Environment Technology,

, Pp. 103–106.


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