{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T09:54:19Z","timestamp":1762509259255,"version":"build-2065373602"},"reference-count":32,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2025,4,1]],"date-time":"2025-04-01T00:00:00Z","timestamp":1743465600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Grant of The State Grid Economic and Technological Research Institute Co., Ltd.","award":["ZZKJ-2024-23"],"award-info":[{"award-number":["ZZKJ-2024-23"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithms"],"abstract":"<jats:p>The large-scale integration of renewable energy and the serious safety issues faced by coal-fired units during peak regulation pose significant challenges to the reliable operation of power systems. Traditional probabilistic production simulation (PPS) methods fail to account for the fluctuations in load demand and the time-series variability of renewable energy, and they do not sufficiently consider the lifespan degradation of coal-fired units during actual peak regulation operations, which results in an inaccurate reflection of system reliability. This paper proposes an improved PPS method. First, this method rigorously considers the time-series fluctuations of load demand and renewable energy. Secondly, a multi-state model is established for coal-fired units, incorporating lifespan degradation and failure rates under different output conditions, which are dynamically updated based on load demand and operational status. An equivalent multi-state model for wind power output is also developed for different time periods. Finally, the Universal Generating Function (UGF) algorithm is used for PPS, enabling the calculation of system reliability indices, as well as dynamic costs such as unit start-up and shutdown, to assess the system\u2019s capability to accommodate wind power. The impact of different peak regulation capabilities of units on system reliability is also studied. This paper presents the theoretical foundation, algorithm implementation, and related case studies, verifying the rationality and effectiveness of the proposed method in addressing the above-mentioned issues.<\/jats:p>","DOI":"10.3390\/a18040197","type":"journal-article","created":{"date-parts":[[2025,4,2]],"date-time":"2025-04-02T04:06:05Z","timestamp":1743566765000},"page":"197","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Power System Reliability Assessment Considering Coal-Fired Unit Peaking Characteristics"],"prefix":"10.3390","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0009-0009-7400-3021","authenticated-orcid":false,"given":"Pengzhao","family":"Wang","sequence":"first","affiliation":[{"name":"State Grid Economic and Technological Research Institute Co., Ltd., Beijing 102209, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xueqin","family":"Tian","sequence":"additional","affiliation":[{"name":"State Grid Economic and Technological Research Institute Co., Ltd., Beijing 102209, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kai","family":"Sun","sequence":"additional","affiliation":[{"name":"National Engineering Research Center of Power Generation Control and Safety, School of Energy and Environment, Southeast University, Nanjing 210096, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yi","family":"Huang","sequence":"additional","affiliation":[{"name":"State Grid Economic and Technological Research Institute Co., Ltd., Beijing 102209, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhidong","family":"Wang","sequence":"additional","affiliation":[{"name":"State Grid Economic and Technological Research Institute Co., Ltd., Beijing 102209, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8960-8773","authenticated-orcid":false,"given":"Li","family":"Sun","sequence":"additional","affiliation":[{"name":"National Engineering Research Center of Power Generation Control and Safety, School of Energy and Environment, Southeast University, Nanjing 210096, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,4,1]]},"reference":[{"doi-asserted-by":"crossref","unstructured":"Zaini, F.A., Sulaima, M.F., Razak, I.A.W.A., Othman, M.L., and Mokhlis, H. (2024). Improved Bacterial Foraging Optimization Algorithm with Machine Learning-Driven Short-Term Electricity Load Forecasting: A Case Study in Peninsular Malaysia. Algorithms, 17.","key":"ref_1","DOI":"10.3390\/a17110510"},{"key":"ref_2","first-page":"5913","article-title":"Daily start stop gas turbine peak shaving operation method","volume":"37","author":"Zhou","year":"2017","journal-title":"Proc. CSEE"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"132695","DOI":"10.1016\/j.energy.2024.132695","article-title":"Impact assessment of the residual lifespan of coal-fired power plants on the investment risk of carbon capture and storage retrofit","volume":"307","author":"Tan","year":"2024","journal-title":"Energy"},{"doi-asserted-by":"crossref","unstructured":"Guo, L., Li, Z., and Li, W. (2021, January 22\u201324). Probabilistic production simulation Method for Frequency Response Capacity Planning. Proceedings of the 2021 IEEE 5th Conference on Energy Internet and Energy System Integration (EI2), Taiyuan, China.","key":"ref_4","DOI":"10.1109\/EI252483.2021.9713541"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"462","DOI":"10.1109\/TSTE.2017.2740322","article-title":"A non-sequential probabilistic production simulation method for wind energy curtailment evaluation considering the seasonal heat supply constraints","volume":"9","author":"Li","year":"2017","journal-title":"IEEE Trans. Sustain. Energy"},{"doi-asserted-by":"crossref","unstructured":"Li, Z., Deng, Y., Wang, J., Hong, Z., Song, X., and Liang, D. (2024, January 14\u201316). Generation System Reliability Evaluation Considering Time-Varying Wind Speeds Based on Markov Chain. Proceedings of the 2024 8th International Conference on Green Energy and Applications (ICGEA), Singapore.","key":"ref_6","DOI":"10.1109\/ICGEA60749.2024.10560667"},{"key":"ref_7","first-page":"6204","article-title":"A sequential probabilistic production simulation method for coupled systems considering external game and internal coordination","volume":"38","author":"Ren","year":"2023","journal-title":"Trans. China Electrotech. Soc."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"32485","DOI":"10.1109\/ACCESS.2021.3060892","article-title":"Reliability assessment of power system considering the impact of renewable energy sources integration into grid with advanced intelligent strategies","volume":"9","author":"Akhtar","year":"2021","journal-title":"IEEE Access"},{"key":"ref_9","first-page":"115","article-title":"An improved algorithm for probabilistic production simulation of power systems with wind power","volume":"46","author":"Qu","year":"2012","journal-title":"J. Xian Jiaotong Univ."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"134","DOI":"10.1007\/s40565-015-0114-2","article-title":"Universal generating function based probabilistic production simulation for wind power integrated power systems","volume":"5","author":"Jin","year":"2017","journal-title":"J. Mod. Power Syst. Clean Energy"},{"key":"ref_11","first-page":"54","article-title":"Probabilistic production simulation based on unfolded representations in a low-carbon context","volume":"41","author":"Zhang","year":"2017","journal-title":"Autom. Electr. Power Syst."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"100545","DOI":"10.1016\/j.ref.2024.100545","article-title":"The renewable energy role in the global energy Transformations","volume":"48","author":"Hassan","year":"2024","journal-title":"Renew. Energy Focus"},{"key":"ref_13","first-page":"35","article-title":"Assessment Method of Conventional Units with Deep Peak-shaving for Renewable Energy Accommodation Based on Probabilistic Production Simulation","volume":"2","author":"Ma","year":"2019","journal-title":"J. Glob. Energy Interconnect."},{"key":"ref_14","first-page":"6305","article-title":"Probabilistic production simulation considering time sequence characteristics of load and new energy","volume":"36","author":"Ding","year":"2016","journal-title":"Proc. CSEE"},{"key":"ref_15","first-page":"141","article-title":"Reliability analysis on structure with hybrid uncertainties based on universal generating function","volume":"42","author":"Li","year":"2025","journal-title":"J. Mach. Des."},{"key":"ref_16","first-page":"797","article-title":"Reliability analysis of complex multi-state system based on universal generating function and Bayesian Network","volume":"238","author":"Liu","year":"2024","journal-title":"Proc. Inst. Mech. Eng. Part O J. Risk Reliab."},{"doi-asserted-by":"crossref","unstructured":"Chachra, A., Agarwal, S., Rawat, D., Gusain, A., Kumar, A., Ram, M., and Kumar, A. (2025). Intuitionistic fuzzy reliability assessment of a wind turbine generator. Reliability Assessment and Optimization of Complex Systems, Elsevier.","key":"ref_17","DOI":"10.1016\/B978-0-443-29112-8.00006-2"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"6319","DOI":"10.1109\/TPWRS.2024.3354299","article-title":"Modeling Microgrids for Analytical Distribution System Reliability Evaluation","volume":"39","author":"Omri","year":"2024","journal-title":"IEEE Trans. Power Syst."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"901","DOI":"10.1016\/j.apenergy.2018.09.089","article-title":"Simulation of operational reliability of thermal power plants during a power crisis: Are we underestimating power shortage risk?","volume":"231","author":"Yuyama","year":"2018","journal-title":"Appl. Energy"},{"key":"ref_20","first-page":"46","article-title":"Reliability evaluation of distribution network containing virtual energy storage system","volume":"6","author":"Gou","year":"2024","journal-title":"Autom. Instrum."},{"key":"ref_21","first-page":"35","article-title":"Construction of a multi-state reliability model for large generating units","volume":"6","author":"Bai","year":"1997","journal-title":"J. Shanghai Jiao Tong Univ."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"186","DOI":"10.1007\/s40565-013-0020-4","article-title":"Probabilistic production simulation of a power system with wind power penetration based on improved UGF techniques","volume":"1","author":"Wang","year":"2013","journal-title":"J. Mod. Power Syst. Clean Energy"},{"unstructured":"Levitin, G. (2005). The Universal Generating Function in Reliability Analysis and Optimization, Springer.","key":"ref_23"},{"key":"ref_24","first-page":"597","article-title":"Power system probabilistic production simulation based on improved universal generating function methods in low-carbon context","volume":"37","author":"Wang","year":"2013","journal-title":"Power Syst. Technol."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"533","DOI":"10.1109\/TEC.2006.874233","article-title":"A simplified wind power generation model for reliability evaluation","volume":"21","author":"Karki","year":"2006","journal-title":"IEEE Trans. Energy Convers."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"2700","DOI":"10.1049\/iet-gtd.2017.1743","article-title":"Probabilistic production simulation of a wind\/photovoltaic\/energy storage hybrid power system based on sequence operation theory","volume":"12","author":"Bai","year":"2018","journal-title":"IET Gener. Transm. Distrib."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"125953","DOI":"10.1016\/j.applthermaleng.2025.125953","article-title":"A comprehensive model for the prediction of boiler platen superheater tube temperature considering the effects of ash deposits and oxide scale","volume":"269","author":"Yin","year":"2025","journal-title":"Appl. Therm. Eng."},{"doi-asserted-by":"crossref","unstructured":"Heo, J., Park, M., Kim, J.M., Jang, D.W., and Han, J.H. (2023). Effect of Flexible Operation on Residual Life of High-Temperature Components of Power Plants. Processes, 11.","key":"ref_28","DOI":"10.20944\/preprints202304.0846.v1"},{"key":"ref_29","first-page":"368","article-title":"Study on three-state reliability of large generating units","volume":"4","author":"Feng","year":"2005","journal-title":"J. Beihua Univ. (Nat. Sci.)"},{"key":"ref_30","first-page":"3622","article-title":"Coordination and optimal scheduling of multi-energy complementary system considering peak regulation initiative","volume":"44","author":"Li","year":"2020","journal-title":"Power Syst. Technol."},{"doi-asserted-by":"crossref","unstructured":"Taud, H., and Mas, J.F. (2017). Multilayer perceptron (MLP). Geomatic Approaches for Modeling Land Change Scenarios, Springer International Publishing.","key":"ref_31","DOI":"10.1007\/978-3-319-60801-3_27"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"2047","DOI":"10.1109\/TPAS.1979.319398","article-title":"IEEE reliability test system","volume":"6","author":"Subcommittee","year":"1979","journal-title":"IEEE Trans. Power Appar. 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