{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T07:13:45Z","timestamp":1777706025612,"version":"3.51.4"},"reference-count":25,"publisher":"SAGE Publications","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IFS"],"published-print":{"date-parts":[[2022,6,1]]},"abstract":"<jats:p>Although smart grids are characterized by self-healing, economy, high efficiency, and security, many hidden dangers exist in the development of smart grids due to a gradually expanding power grid and the continuous access of new energy to the power grid. Therefore, the development of smart grids, especially their reliability, security, and vulnerability, warrants further investigation. In this study, the vulnerability of smart grids is identified, and the vulnerability elements of smart grids are selected. Based on relevant theories, such as credibility and the combination of the credibility-based moment-generating function and the distortion function, a calculation model and framework of the vulnerability index of a smart grid are constructed. An empirical analysis is also conducted. This study provides a scientific basis for analyzing the vulnerability of smart grids and suggesting reasonable preventive measures and auxiliary decision-making information for relevant planning, design, and operation personnel, which contributes to the sustainable and healthy development of smart grids.<\/jats:p>","DOI":"10.3233\/jifs-212575","type":"journal-article","created":{"date-parts":[[2022,1,18]],"date-time":"2022-01-18T15:25:43Z","timestamp":1642519543000},"page":"877-888","source":"Crossref","is-referenced-by-count":0,"title":["Study on the smart grid vulnerability index based on the moment-generating function and distortion function"],"prefix":"10.1177","volume":"43","author":[{"given":"Feng","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Economics and Management, North China Electric Power University, Beijing, 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