{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T15:13:41Z","timestamp":1760109221694,"version":"build-2065373602"},"reference-count":28,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2024,4,17]],"date-time":"2024-04-17T00:00:00Z","timestamp":1713312000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Zhejiang Provincial Natural Science Foundation of China","award":["LQ21E050005","6142004210102"],"award-info":[{"award-number":["LQ21E050005","6142004210102"]}]},{"name":"Science and Technology on Reliability and Environmental Engineering Laboratory","award":["LQ21E050005","6142004210102"],"award-info":[{"award-number":["LQ21E050005","6142004210102"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The reliability of circuit systems is primarily affected by cascading failures due to their complex structural and functional coupling. Causes of cascading failure during circuit operation include the continuous degradation process of components and external random shocks. Circuit systems can exhibit asymmetric structural changes and functional loss during cascading failure propagation due to the coupling of degradation and shock and their uncertainty effects. To tackle this issue, this paper abstracts the circuit into an impedance network and constructs a component failure behavior model that considers the correlation between degradation and shock. The interactions between soft and hard failure processes among different components are discussed. Two types of cascading failure propagation processes are described: slow propagation associated with continuous degradation and damage shock, and fast propagation due to fatal shock. Based on this, a cascading failure simulation algorithm is developed. This article presents a case study to demonstrate the proposed models and to analyze the reliability of a typical circuit system.<\/jats:p>","DOI":"10.3390\/sym16040488","type":"journal-article","created":{"date-parts":[[2024,4,17]],"date-time":"2024-04-17T10:52:37Z","timestamp":1713351157000},"page":"488","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Cascading Failure Modeling for Circuit Systems Considering Continuous Degradation and Random Shocks Using an Impedance Network"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0685-2581","authenticated-orcid":false,"given":"Yi","family":"Jin","sequence":"first","affiliation":[{"name":"School of Intelligent Manufacture, Taizhou University, Taizhou 318000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qingyuan","family":"Zhang","sequence":"additional","affiliation":[{"name":"Hangzhou International Innovation Institute, Beihang University, Hangzhou 311115, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,4,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1585","DOI":"10.1109\/TIE.2017.2733419","article-title":"Electronic Circuit Health Estimation through Kernel Learning","volume":"65","author":"Vasan","year":"2018","journal-title":"IEEE Trans. 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