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Intell. Syst."],"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>With the growing penetration of renewable energy, the impact of renewable uncertainties on power system secure operation is of increasing concern. Based on a recently developed linear power flow model, we formulate a chance-constrained optimal power flow (CC-OPF) in transmission networks that provides a concise way to regulate the security regarding both power and voltage behaviors under renewable uncertainties, the latter of which fails to be captured by the conventional DC power flow model. The formulated CC-OPF finds an optimal operating point for the forecasted scenario and the corresponding generation participation scheme for balancing power fluctuations such that the expectation of generation cost is minimized and the probabilities of line overloading and voltage violations are sufficiently low. The problem under the Gaussian distribution of renewable fluctuations is reformulated into a deterministic problem in the form of second-order cone programming, which can be solved efficiently. The proposed approach is also extended to the non-Gaussian uncertainty case by making use of the linear additivity of probability terms in the Gaussian mixture model. The obtained results are verified via numerical experiments on several IEEE test systems.<\/jats:p>","DOI":"10.1007\/s43684-025-00124-x","type":"journal-article","created":{"date-parts":[[2025,12,22]],"date-time":"2025-12-22T23:02:28Z","timestamp":1766444548000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Chance-constrained optimal power flow for improving line flow and voltage security of power transmission networks"],"prefix":"10.1007","volume":"5","author":[{"given":"Yaodan","family":"Cui","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4757-6862","authenticated-orcid":false,"given":"Yue","family":"Song","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kairui","family":"Feng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Haonan","family":"Xu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qinyu","family":"Wei","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kaiyu","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,12,23]]},"reference":[{"key":"124_CR1","volume-title":"Electric Energy Systems: Analysis and Operation","author":"A. 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