IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v13y2019i1p137-d302331.html
   My bibliography  Save this article

Characteristics Analysis and Fuzzy Fractional-Order PID Parameter Optimization for Primary Frequency Modulation of a Pumped Storage Unit Based on a Multi-Objective Gravitational Search Algorithm

Author

Listed:
  • Xin Wu

    (School of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China)

  • Yanhe Xu

    (School of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China)

  • Jie Liu

    (School of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China)

  • Cong Lv

    (School of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China)

  • Jianzhong Zhou

    (School of Hydropower and Information Engineering, Huazhong University of Science and Technology, Wuhan 430074, China)

  • Qing Zhang

    (Nondestructive Detection and Monitoring Technology for High Speed Transportation Facilities, Key Laboratory of Ministry of Industry and Information Technology, Nanjing 210016, China)

Abstract

Compared with conventional hydropower units, the pumped storage unit has the characteristics of diverse working conditions and frequent switching. Therefore, the stability and regulation quality of the primary frequency modulation transition process of the regulating system is very important. Due to the “S” characteristics of the pumped storage unit (PSU), the pumped storage unit regulating system has a strong nonlinearity, and the conventional proportional-integral-derivative (PID) controller cannot provide high-quality control under low water head conditions. In this paper, the nonlinear PSU model with an elastic water hammer effect is studied, and the fuzzy fractional-order PID (FFOPID) controller is designed to improve the stability of the system. The membership function and the control parameters of the fractional-order PID are optimized based on the multi-objective gravitational search algorithm (MOGSA). The experimental results show that the optimized design of the FFOPID controller has better control quality than the traditional PID controller, the fractional-order PID (FOPID) controller, and the fuzzy PID controller (FPID) when the system is disturbed by the rotating speed under low water head.

Suggested Citation

  • Xin Wu & Yanhe Xu & Jie Liu & Cong Lv & Jianzhong Zhou & Qing Zhang, 2019. "Characteristics Analysis and Fuzzy Fractional-Order PID Parameter Optimization for Primary Frequency Modulation of a Pumped Storage Unit Based on a Multi-Objective Gravitational Search Algorithm," Energies, MDPI, vol. 13(1), pages 1-20, December.
  • Handle: RePEc:gam:jeners:v:13:y:2019:i:1:p:137-:d:302331
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/13/1/137/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/1996-1073/13/1/137/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Assareh, Ehsanolah & Biglari, Mojtaba, 2015. "A novel approach to capture the maximum power from variable speed wind turbines using PI controller, RBF neural network and GSA evolutionary algorithm," Renewable and Sustainable Energy Reviews, Elsevier, vol. 51(C), pages 1023-1037.
    2. Weijia Yang & Jiandong Yang & Wencheng Guo & Wei Zeng & Chao Wang & Linn Saarinen & Per Norrlund, 2015. "A Mathematical Model and Its Application for Hydro Power Units under Different Operating Conditions," Energies, MDPI, vol. 8(9), pages 1-16, September.
    3. Lai, Xinjie & Li, Chaoshun & Zhou, Jianzhong & Zhang, Nan, 2019. "Multi-objective optimization of the closure law of guide vanes for pumped storage units," Renewable Energy, Elsevier, vol. 139(C), pages 302-312.
    4. Jinjiao Hou & Chaoshun Li & Ziqin Tian & Yanhe Xu & Xinjie Lai & Nan Zhang & Taoping Zheng & Wei Wu, 2018. "Multi-Objective Optimization of Start-up Strategy for Pumped Storage Units," Energies, MDPI, vol. 11(5), pages 1-19, May.
    5. Yang, Weijia & Yang, Jiandong & Zeng, Wei & Tang, Renbo & Hou, Liangyu & Ma, Anting & Zhao, Zhigao & Peng, Yumin, 2019. "Experimental investigation of theoretical stability regions for ultra-low frequency oscillations of hydropower generating systems," Energy, Elsevier, vol. 186(C).
    6. Naserbegi, A. & Aghaie, M. & Minuchehr, A. & Alahyarizadeh, Gh, 2018. "A novel exergy optimization of Bushehr nuclear power plant by gravitational search algorithm (GSA)," Energy, Elsevier, vol. 148(C), pages 373-385.
    7. Hadi Nobahari & Mahdi Nikusokhan & Patrick Siarry, 2012. "A Multi-Objective Gravitational Search Algorithm Based on Non-Dominated Sorting," International Journal of Swarm Intelligence Research (IJSIR), IGI Global, vol. 3(3), pages 32-49, July.
    8. Yang, Weijia & Norrlund, Per & Bladh, Johan & Yang, Jiandong & Lundin, Urban, 2018. "Hydraulic damping mechanism of low frequency oscillations in power systems: Quantitative analysis using a nonlinear model of hydropower plants," Applied Energy, Elsevier, vol. 212(C), pages 1138-1152.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Liu, Dong & Li, Chaoshun & Tan, Xiaoqiang & Lu, Xueding & Malik, O.P., 2021. "Damping characteristics analysis of hydropower units under full operating conditions and control parameters: Accurate quantitative evaluation based on refined models," Applied Energy, Elsevier, vol. 292(C).
    2. Ma, Weichao & Zhao, Zhigao & Yang, Jiebin & Lai, Xu & Liu, Chengpeng & Yang, Jiandong, 2024. "A transient analysis framework for hydropower generating systems under parameter uncertainty by integrating physics-based and data-driven models," Energy, Elsevier, vol. 297(C).
    3. Liu, Dong & Li, Chaoshun & Malik, O.P., 2021. "Nonlinear modeling and multi-scale damping characteristics of hydro-turbine regulation systems under complex variable hydraulic and electrical network structures," Applied Energy, Elsevier, vol. 293(C).
    4. Zhao, Zhigao & Yang, Jiandong & Huang, Yifan & Yang, Weijia & Ma, Weichao & Hou, Liangyu & Chen, Man, 2021. "Improvement of regulation quality for hydro-dominated power system: quantifying oscillation characteristic and multi-objective optimization," Renewable Energy, Elsevier, vol. 168(C), pages 606-631.
    5. Huang, Yifan & Yang, Weijia & Liao, Yiwen & Zhao, Zhigao & Ma, Weichao & Yang, Jiebin & Yang, Jiandong, 2022. "Improved transfer function method for flexible simulation of hydraulic-mechanical-electrical transient processes of hydro-power plants," Renewable Energy, Elsevier, vol. 196(C), pages 390-404.
    6. Huang, Yifan & Yang, Weijia & Zhao, Zhigao & Han, Wenfu & Li, Yulan & Yang, Jiandong, 2023. "Dynamic modeling and favorable speed command of variable-speed pumped-storage unit during power regulation," Renewable Energy, Elsevier, vol. 206(C), pages 769-783.
    7. Liubomyr Vytvytskyi & Bernt Lie, 2019. "OpenHPL for Modelling the Trollheim Hydropower Plant," Energies, MDPI, vol. 12(12), pages 1-19, June.
    8. Xinran Guo & Yuanchu Cheng & Jiada Wei & Yitian Luo, 2021. "Stability Analysis of Different Regulation Modes of Hydropower Units," Energies, MDPI, vol. 14(7), pages 1-19, March.
    9. Zhao, Zhigao & Yang, Jiandong & Chung, C.Y. & Yang, Weijia & He, Xianghui & Chen, Man, 2021. "Performance enhancement of pumped storage units for system frequency support based on a novel small signal model," Energy, Elsevier, vol. 234(C).
    10. Yixuan Guo & Xiao Liang & Ziyu Niu & Zezhou Cao & Liuwei Lei & Hualin Xiong & Diyi Chen, 2021. "Vibration Characteristics of a Hydroelectric Generating System with Different Hydraulic-Mechanical-Electric Parameters in a Sudden Load Increasing Process," Energies, MDPI, vol. 14(21), pages 1-21, November.
    11. Yoro, Kelvin O. & Daramola, Michael O. & Sekoai, Patrick T. & Wilson, Uwemedimo N. & Eterigho-Ikelegbe, Orevaoghene, 2021. "Update on current approaches, challenges, and prospects of modeling and simulation in renewable and sustainable energy systems," Renewable and Sustainable Energy Reviews, Elsevier, vol. 150(C).
    12. Lei, Liuwei & Li, Feng & Kheav, Kimleng & Jiang, Wei & Luo, Xingqi & Patelli, Edoardo & Xu, Beibei & Chen, Diyi, 2021. "A start-up optimization strategy of a hydroelectric generating system: From a symmetrical structure to asymmetric structure on diversion pipes," Renewable Energy, Elsevier, vol. 180(C), pages 1148-1165.
    13. Xu, Beibei & Zhang, Jingjing & Egusquiza, Mònica & Chen, Diyi & Li, Feng & Behrens, Paul & Egusquiza, Eduard, 2021. "A review of dynamic models and stability analysis for a hydro-turbine governing system," Renewable and Sustainable Energy Reviews, Elsevier, vol. 144(C).
    14. Shi, Yousong & Zhou, Jianzhong & Guo, Wencheng & Zheng, Yang & Li, Chaoshun & Zhang, Yongchuan, 2022. "Nonlinear dynamic characteristics analysis and adaptive avoid vortex-coordinated optimal control of hydropower units under grid connection," Renewable Energy, Elsevier, vol. 200(C), pages 911-930.
    15. Lai, Xinjie & Li, Chaoshun & Zhou, Jianzhong & Zhang, Yongchuan & Li, Yonggang, 2020. "A multi-objective optimization strategy for the optimal control scheme of pumped hydropower systems under successive load rejections," Applied Energy, Elsevier, vol. 261(C).
    16. Lai, Xinjie & Li, Chaoshun & Zhou, Jianzhong & Zhang, Nan, 2019. "Multi-objective optimization of the closure law of guide vanes for pumped storage units," Renewable Energy, Elsevier, vol. 139(C), pages 302-312.
    17. Lu, Xueding & Li, Chaoshun & Liu, Dong & Zhu, Zhiwei & Tan, Xiaoqiang, 2022. "Influence of water diversion system topologies and operation scenarios on the damping characteristics of hydropower units under ultra-low frequency oscillations," Energy, Elsevier, vol. 239(PE).
    18. Dong Liu & Xinxu Wei & Jingjing Zhang & Xiao Hu & Lihong Zhang, 2023. "A Parameter Sensitivity Analysis of Hydropower Units under Full Operating Conditions Considering Turbine Nonlinearity," Sustainability, MDPI, vol. 15(15), pages 1-21, July.
    19. Yonggang Li & Jinjiao Hou & Juan Gu & Chaoshun Li & Yanhe Xu, 2022. "Dynamic Characteristics and Successive Start-Up Control Strategy Optimization of Pumped Storage Units under Low-Head Extreme Conditions," Energies, MDPI, vol. 15(15), pages 1-19, July.
    20. Hu, Jinhong & Yang, Jiebin & He, Xianghui & Zhao, Zhigao & Yang, Jiandong, 2023. "Transient analysis of a hydropower plant with a super-long headrace tunnel during load acceptance: Instability mechanism and measurement verification," Energy, Elsevier, vol. 263(PA).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:13:y:2019:i:1:p:137-:d:302331. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.