{"title":"需求侧深谷定价策略的博弈论方法","authors":"Meiling Ma , Dong Han , Hengyu Ren , Yanbing Jia","doi":"10.1016/j.ijepes.2025.110708","DOIUrl":null,"url":null,"abstract":"<div><div>The introduction of large-scale renewable energy will inevitably bring significant challenges to the security and stability of power systems. Toward this end, this paper proposes a demand-side deep valley pricing (DVP) model based on game theory. First, we conduct the fuzzy affiliation-based deep valley period division by Fuzzy C Means (FCM). Subsequently, we leverage the Bayesian discriminant method to calculate the posterior probability of results to verify the proposed division method. The model incorporates a game-theoretic framework, elucidating dynamics between electric users and the utility company within the proposed DVP pricing regimen. In addition, the utility function of participators is calculated through the fluctuation of user demand load, and the Nash equilibrium (NE) is obtained using the inverse induction method. Finally, the effectiveness of the proposed DVP pricing strategy is validated by the simulation results, which can reduce the peak-to-valley difference of the load curve and promote the characteristics of users’ electricity consumption behavior.</div></div>","PeriodicalId":50326,"journal":{"name":"International Journal of Electrical Power & Energy Systems","volume":"168 ","pages":"Article 110708"},"PeriodicalIF":5.0000,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Game-Theoretic approach for deep valley pricing strategy in the demand side\",\"authors\":\"Meiling Ma , Dong Han , Hengyu Ren , Yanbing Jia\",\"doi\":\"10.1016/j.ijepes.2025.110708\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>The introduction of large-scale renewable energy will inevitably bring significant challenges to the security and stability of power systems. Toward this end, this paper proposes a demand-side deep valley pricing (DVP) model based on game theory. First, we conduct the fuzzy affiliation-based deep valley period division by Fuzzy C Means (FCM). Subsequently, we leverage the Bayesian discriminant method to calculate the posterior probability of results to verify the proposed division method. The model incorporates a game-theoretic framework, elucidating dynamics between electric users and the utility company within the proposed DVP pricing regimen. In addition, the utility function of participators is calculated through the fluctuation of user demand load, and the Nash equilibrium (NE) is obtained using the inverse induction method. Finally, the effectiveness of the proposed DVP pricing strategy is validated by the simulation results, which can reduce the peak-to-valley difference of the load curve and promote the characteristics of users’ electricity consumption behavior.</div></div>\",\"PeriodicalId\":50326,\"journal\":{\"name\":\"International Journal of Electrical Power & Energy Systems\",\"volume\":\"168 \",\"pages\":\"Article 110708\"},\"PeriodicalIF\":5.0000,\"publicationDate\":\"2025-04-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Electrical Power & Energy Systems\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0142061525002595\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Electrical Power & Energy Systems","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0142061525002595","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
A Game-Theoretic approach for deep valley pricing strategy in the demand side
The introduction of large-scale renewable energy will inevitably bring significant challenges to the security and stability of power systems. Toward this end, this paper proposes a demand-side deep valley pricing (DVP) model based on game theory. First, we conduct the fuzzy affiliation-based deep valley period division by Fuzzy C Means (FCM). Subsequently, we leverage the Bayesian discriminant method to calculate the posterior probability of results to verify the proposed division method. The model incorporates a game-theoretic framework, elucidating dynamics between electric users and the utility company within the proposed DVP pricing regimen. In addition, the utility function of participators is calculated through the fluctuation of user demand load, and the Nash equilibrium (NE) is obtained using the inverse induction method. Finally, the effectiveness of the proposed DVP pricing strategy is validated by the simulation results, which can reduce the peak-to-valley difference of the load curve and promote the characteristics of users’ electricity consumption behavior.
期刊介绍:
The journal covers theoretical developments in electrical power and energy systems and their applications. The coverage embraces: generation and network planning; reliability; long and short term operation; expert systems; neural networks; object oriented systems; system control centres; database and information systems; stock and parameter estimation; system security and adequacy; network theory, modelling and computation; small and large system dynamics; dynamic model identification; on-line control including load and switching control; protection; distribution systems; energy economics; impact of non-conventional systems; and man-machine interfaces.
As well as original research papers, the journal publishes short contributions, book reviews and conference reports. All papers are peer-reviewed by at least two referees.