Fractional-Order Model Predictive Frequency Control of an Islanded Microgrid

Min-Rong Chen, Guo-Qiang Zeng, Yu-Xing Dai, Kang-Di Lu and Da-Qiang Bi
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Min-Rong Chen: School of Computer, South China Normal University, Guangzhou 510631, China
Guo-Qiang Zeng: National-Local Joint Engineering Laboratory of Digitalize Electrical Design Technology, Wenzhou University, Wenzhou 325035, China
Yu-Xing Dai: National-Local Joint Engineering Laboratory of Digitalize Electrical Design Technology, Wenzhou University, Wenzhou 325035, China
Kang-Di Lu: Department of Automation, College of Information Sciences and Technology, Donghua University, Shanghai 201620, China
Da-Qiang Bi: State Key Laboratory of Power Systems and Department of Electrical Engineering, Tsinghua University, Beijing 100084, China

Energies, 2018, vol. 12, issue 1, 1-21

Abstract: Optimal frequency control of an islanded microgrid has been a challenging issue in the research field of microgrids. Recently, fractional-order calculus theory and some related control methods have attempted to handle this issue. In this paper, a novel fractional-order model predictive control (FOMPC) method is proposed to achieve the optimal frequency control of an islanded microgrid by introducing a fractional-order integral cost function into model predictive control (MPC) algorithm. Firstly, a discrete state-space model is derived for the optimal frequency control problem of an islanded microgrid. Afterward, a fractional-order integral cost function is designed to guide the FOMPC algorithm to obtain optimal control law by borrowing the Grünwald-Letnikov (GL) definition of fractional order calculus. Six simulation studies have been carried out to illustrate the superiority of FOMPC to conventional MPC under dynamical load disturbances, perturbed system parameters and random dynamical power fluctuation of wind turbines.

Keywords: optimal frequency control; islanded microgrid; fractional-order calculus; model predictive control; cost function (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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