MFO Ptimized Fractional Order Based Controller on Power System Stability


  • Bidyadhar Rout Department of Electrical Engineering, Veer Surendra Sai University of Technology, India
  • Bibhuti Bhusan Pati Department of Electrical Engineering, Veer Surendra Sai University of Technology, India


moth fly optimization, fractional order controller, pid controller, power system, transient stability


This paper presents a novel idea of designing the Fractional-Order PID (FOPID) type static synchronous series compensator (SSSC). A power system stabilizer(PSS) is installed to enhance the system transient stability by damping the oscillations. Also, the superiority of the proposed method is verified by comparing with conventional PI, PI-PD and PID controllers. The determination of the controller parameters has been considered as an optimization problem using Moth Fly Optimization (MFO). It is shown that MFO is more effective as well as giving robust response than Differential Evolution (DE) optimization. The superiority of the controller is tested on Single-Machine Infinite-Bus (SMIB) power system at various operating conditions and fault locations.

Author Biographies

Bidyadhar Rout, Department of Electrical Engineering, Veer Surendra Sai University of Technology, India

Asst. Professor in Electrical Engg

Bibhuti Bhusan Pati, Department of Electrical Engineering, Veer Surendra Sai University of Technology, India

Professor in Electrical Engineering


S. Mirjalili, “Moth-flame optimization algorithm: A novel nature-inspired heuristic paradigm,” Knowledge-Based System, vol. 89, pp. 228-249, November 2015.

S. M. H. Hosseini, H. samadzadeh, J. Olamaei, and M. Farsadi, “SSR mitigation with SSSC thanks to fuzzy control,” Turkish Journal of Electrical Engineering & Computer Sciences, vol. 21, pp. 2294-2306, January 2013.

M. Klein, G. J. Rogers, and P. Kundur, “A fundamental study of inter-area oscillation in power systems,” IEEE Press, August 1991, pp. 914-921.

C. Liu, G. Cai, and D. Yang, “Design nonlinear robust damping controller for static synchronous series compensator based on objective holographic feedback-H,” Journal of advances in Mechanical Engineering (Sage Journal), vol. 8, no. 6, pp. 1-11, June 2016.

M. Bongiorno, J. Svensson, and L. Angquist, “On control of static synchronous series compensator for SSR mitigation,” IEEE Transactions on Power Electronics, IEEE Press, June 2007, pp. 735-743.

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, August 2014.

U. Q. Sun, Y. K. Sun, and X. X. Liu, “H2/HN cost-guaranteed control for the static synchronous compensator,” IET Control Theory, vol. 69, pp. 641-646, 2009.

M. S. Castro, H. M. Ayres, V. F. da Costa, and L. C. P. da Silva, “Impacts of the SSSC control modes on small-signal and transient stability of a power system,” Electrical Power System Research, vol. 77, no. 1, pp. 1-9, January 2007.

M. A. Abido, “Pole placement technique for PSS and TCSC based stabilizer design using simulated annealing,” International Journal of Electrical Power Systems Research, vol. 22, no. 8, pp. 543-554, November 2000.

M. E. About-Ela, A. A. Sallam, J. D. McCalley, and A. A. Fouad, “Damping controller design for power system oscillations using global signals,” IEEE Transactions on Power Systems, IEEE Press, May 1996, pp. 767-773.

M. A. Abido, “Optimal design of power system stabilizers using particle swarm optimization,” IEEE Trans Energy Convers, IEEE Press, November 2002, pp. 406-413.

Z. L. Gaing, “A particle swarm optimization approach for optimum design of PID controller in AVR system,” IEEE Trans Energy Convers 19, IEEE Press, May 2004, pp. 384-391.

S. Panda, “Robust coordinated design of multiple and multi-type damping controller using differential evolution algorithm,” International Journal of Electrical Power & Energy Systems, vol. 33, no. 4, pp. 1018-1030, May 2011.

H. E. Mostafa, M. A. El-Sharkawy, A. A. Emary, and K. Yassin, “Design and allocation of power system stabilizers using the particle swarm optimization technique for an interconnected power system,” International Journal Electrical Power Energy Systems., vol. 34, no. 1, pp. 57-65, January 2012.

T. T. Nguyen and R. Gianto, “Application of optimization method for control co-ordination of PSSs and facts devices to enhance small-disturbance stability,” Proc. IEEE PES Transmission & Distribution Conf. May Dallas, IEEE Press, May 2006, pp. 21-24.

Y. Li and K. H. Ang, “PID control system analysis and design,” IEEE Control Systems. Magazines, IEEE Press, June 2005, pp. 559-576.

C. H. Lee and F. K. Chang, “Fractional-order PID controller optimization via improved electromagnetism-like algorithm,” Expert Systems With Application, vol. 37, no. 12, pp. 8871-8878, December 2010.

F. Padula and A. Visioli, “Tuning rules for optimal PID and fractional-order PID controllers,” Journal of Process Control, vol. 21, no. 1, pp. 69-81, January 2011.

R. K. Khadanga and J. K. Satapathy, “Time delay approach for PSS and SSSC based coordinated controller design using hybrid PSO-GSA algorithm,” International Journal of Electrical Power and Energy Systems, vol. 71, pp. 262-273, October 2015.

S. S. Mohamed, A. E. Mansour, and M. A. Abdel Ghany, “Design of fractional order PID controller for SMIB power system with UPFC tuned by multi-objectives genetic algorithm,” Proc. 16th Int. Conf. On Aerospace sciences & Aviation technology, pp. 26-28, May 2015.

M. R. Faieghi and A. Nemati, “On fractional-order PID design, applications of MATLAB in science and engineering,” Book Edited by Prof. Tadeusz Michalowski, pp. 237-292, September 2011.




How to Cite

B. Rout and B. B. Pati, “MFO Ptimized Fractional Order Based Controller on Power System Stability”, Proc. eng. technol. innov., vol. 8, pp. 46–59, Apr. 2018.




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