{"title":"A coordinated hierarchical frequency control strategy for islanded microgrid using multiple flexibility resources","authors":"Xijin Yang, Qinfen Lu","doi":"10.1016/j.epsr.2026.112820","DOIUrl":null,"url":null,"abstract":"<div><div>To address the stringent dual requirements for frequency stability and operational economy in island microgrids under source-load uncertainties, this paper proposes a hierarchical coordinated frequency control strategy with incorporating economic dispatch. In the primary frequency control stage, a Sigmoid function-based adaptive Virtual Synchronous Generator (VSG) control is proposed. This method adjusts the virtual damping in real-time to enhance the dynamic response capability of renewable energy sources (RES). In the secondary frequency control stage, a Model Predictive Control (MPC) framework integrating an economic cost function is constructed to achieve the deep integration of frequency restoration and optimal power allocation. Simulation results in Matlab/Simulink demonstrate that the load response rate of RES in the primary control stage increases by over 280 %. In the secondary control stage, the RES response rate reaches approximately 34 %, and the comprehensive cumulative generation cost is reduced by about 73.9 %. Furthermore, the change rate of frequency deviation remains at the order of magnitude of <span><math><mrow><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>6</mn></mrow></msup></mrow></math></span> under system parameter perturbations, which verifying the robustness of the proposed strategy.</div></div>","PeriodicalId":50547,"journal":{"name":"Electric Power Systems Research","volume":"255 ","pages":"Article 112820"},"PeriodicalIF":4.2000,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electric Power Systems Research","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0378779626001136","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2026/2/5 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
To address the stringent dual requirements for frequency stability and operational economy in island microgrids under source-load uncertainties, this paper proposes a hierarchical coordinated frequency control strategy with incorporating economic dispatch. In the primary frequency control stage, a Sigmoid function-based adaptive Virtual Synchronous Generator (VSG) control is proposed. This method adjusts the virtual damping in real-time to enhance the dynamic response capability of renewable energy sources (RES). In the secondary frequency control stage, a Model Predictive Control (MPC) framework integrating an economic cost function is constructed to achieve the deep integration of frequency restoration and optimal power allocation. Simulation results in Matlab/Simulink demonstrate that the load response rate of RES in the primary control stage increases by over 280 %. In the secondary control stage, the RES response rate reaches approximately 34 %, and the comprehensive cumulative generation cost is reduced by about 73.9 %. Furthermore, the change rate of frequency deviation remains at the order of magnitude of under system parameter perturbations, which verifying the robustness of the proposed strategy.
期刊介绍:
Electric Power Systems Research is an international medium for the publication of original papers concerned with the generation, transmission, distribution and utilization of electrical energy. The journal aims at presenting important results of work in this field, whether in the form of applied research, development of new procedures or components, orginal application of existing knowledge or new designapproaches. The scope of Electric Power Systems Research is broad, encompassing all aspects of electric power systems. The following list of topics is not intended to be exhaustive, but rather to indicate topics that fall within the journal purview.
• Generation techniques ranging from advances in conventional electromechanical methods, through nuclear power generation, to renewable energy generation.
• Transmission, spanning the broad area from UHV (ac and dc) to network operation and protection, line routing and design.
• Substation work: equipment design, protection and control systems.
• Distribution techniques, equipment development, and smart grids.
• The utilization area from energy efficiency to distributed load levelling techniques.
• Systems studies including control techniques, planning, optimization methods, stability, security assessment and insulation coordination.