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Fractional Order Controller Designing with Firefly Algorithm and Parameter Optimization for Hydroturbine Governing System

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  • Li Junyi
  • Qijuan Chen

Abstract

A fractional order PID (FOPID) controller, which is suitable for control system designing for being insensitive to the variation in system parameter, is proposed for hydroturbine governing system in the paper. The simultaneous optimization for several parameters of controller, that is, , , , , and , is done by a recently developed metaheuristic nature-inspired algorithm, namely, the firefly algorithm (FA), for the first time, where the selecting, moving, attractiveness behavior between fireflies and updating of brightness, and decision range are studied in detail to simulate the optimization process. Investigation clearly reveals the advantages of the FOPID controller over the integer controllers in terms of reduced oscillations and settling time. The present work also explores the superiority of FA based optimization technique in finding optimal parameters of the controller. Further, convergence characteristics of the FA are compared with optimum integer order PID (IOPID) controller to justify its efficiency. What is more, analysis confirms the robustness of FOPID controller under isolated load operation conditions.

Suggested Citation

  • Li Junyi & Qijuan Chen, 2015. "Fractional Order Controller Designing with Firefly Algorithm and Parameter Optimization for Hydroturbine Governing System," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-11, October.
    • Handle: RePEc:hin:jnlmpe:825608
    DOI: 10.1155/2015/825608
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    Cited by:

    1. Tian, Yuqiang & Wang, Bin & Chen, Peng & Yang, Ying, 2021. "Finite-time Takagi–Sugeno fuzzy controller design for hydraulic turbine governing systems with mechanical time delays," Renewable Energy, Elsevier, vol. 173(C), pages 614-624.
    2. Lisheng Li & Jing Qian & Yidong Zou & Danning Tian & Yun Zeng & Fei Cao & Xiang Li, 2022. "Optimized Takagi–Sugeno Fuzzy Mixed H 2 / H ∞ Robust Controller Design Based on CPSOGSA Optimization Algorithm for Hydraulic Turbine Governing System," Energies, MDPI, vol. 15(13), pages 1-31, June.

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