{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T22:49:38Z","timestamp":1776811778192,"version":"3.51.2"},"reference-count":20,"publisher":"European Society of Computational Methods in Sciences and Engineering","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["JCM"],"published-print":{"date-parts":[[2023,12,15]]},"abstract":"<jats:p>The rapid development of renewable energy has also had an impact on the flexibility of multi energy systems such as electricity, heat, and gas. To analyze the flexible characteristics of multi energy systems at multiple time scales, a multi-scale flexibility evaluation method based on morphological decomposition is proposed. The net load curve is decomposed using mathematical morphology methods, and a multi-scale energy storage configuration method based on the flexibility of electric heating systems is proposed. The analysis data shows that the probability of insufficient upward flexibility, margin expectation, and insufficient expectation of the scale weighted flexibility index are 1.12%, 3.98%, and 1.16%, respectively, while the probability of insufficient downward flexibility, margin expectation, and insufficient expectation are 0.73%, 4.54%, and 0.56%, respectively. The introduction of energy storage and controllable load simultaneously results in an overall downward flexibility index of 0.92% for the system. The results indicate that controllable load can improve the economy of system peak shaving, providing more options for energy storage and configuration in multi energy systems.<\/jats:p>","DOI":"10.3233\/jcm-226959","type":"journal-article","created":{"date-parts":[[2023,12,19]],"date-time":"2023-12-19T12:23:16Z","timestamp":1702988596000},"page":"2975-2991","source":"Crossref","is-referenced-by-count":0,"title":["Multi-scale flexibility assessment of electrical, thermal and gas multi-energy systems based on morphological decomposition"],"prefix":"10.66113","volume":"23","author":[{"given":"Xiaoqiang","family":"Jia","sequence":"first","affiliation":[{"name":"China Electric Power Research Institute, Beijing, China"},{"name":"National Key Laboratory of Power Grid Safety, Beijing, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhiwei","family":"Wang","sequence":"additional","affiliation":[{"name":"State Grid Jilisheng Electric Power Supply Company, Changchun, 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