{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,27]],"date-time":"2025-10-27T16:07:54Z","timestamp":1761581274439},"reference-count":16,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Model. Simul. Sci. Comput."],"published-print":{"date-parts":[[2015,3]]},"abstract":"<jats:p> Phase measurement unit (PMU) is the key equipment for electric power system, which has been used to monitor and control power grid. But it is too expensive to deploy on each bus. So, we need to investigate how to deploy PMU to satisfy our observation requirements with minimum PMU numbers. This problem is called the optimal PMU placement (OPP). In this paper, we employ differential evolution (DE) algorithm to solve the OPP problem. Our optimization target is to make the power grid completely observable with maximum redundancy and minimum number of PMU. The proposed method is tested on IEEE 14-bus system, IEEE 30-bus system and IEEE 57-bus system respectively with considering the zero injection. <\/jats:p>","DOI":"10.1142\/s1793962315500166","type":"journal-article","created":{"date-parts":[[2015,1,23]],"date-time":"2015-01-23T03:17:54Z","timestamp":1421983074000},"page":"1550016","source":"Crossref","is-referenced-by-count":4,"title":["Differential evolution-based optimal placement of phase measurement unit considering measurement redundancy"],"prefix":"10.1142","volume":"06","author":[{"given":"Zhong-Jie","family":"Wang","sequence":"first","affiliation":[{"name":"College of Electronics and Information, Tongji University, Shanghai 201800, P. R. China"}]},{"given":"Shu-Ying","family":"Yuan","sequence":"additional","affiliation":[{"name":"College of Electronics and Information, Tongji University, Shanghai 201800, P. R. China"}]},{"given":"Xuan","family":"Zhao","sequence":"additional","affiliation":[{"name":"College of Electronics and Information, Tongji University, Shanghai 201800, P. R. China"}]},{"given":"Cheng-Chao","family":"Lu","sequence":"additional","affiliation":[{"name":"College of Electronics and Information, Tongji University, Shanghai 201800, P. R. China"}]}],"member":"219","published-online":{"date-parts":[[2015,3,19]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2012.03.011"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRD.2009.2014030"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2002.807064"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1049\/el:20030919"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRD.2005.855457"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijepes.2005.05.005"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2009.2036470"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2008.926723"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRD.2008.919046"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1109\/TPWRS.2008.922621"},{"key":"rf13","first-page":"21","volume":"36","author":"Ma Y.","year":"2008","journal-title":"RELAY"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1016\/j.epsr.2010.03.005"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1016\/j.epsr.2013.04.013"},{"key":"rf22","unstructured":"B.\u00a0Xu and A.\u00a0Abur, Optimal Placement of Phasor Measurement Units for State Estimation, A National Science Foundation Industry\/University Cooperative Research Center (Texas A&M University, 2005)\u00a0pp. 25\u201358."},{"key":"rf23","volume-title":"Differential Evolution: A Practical Approach to Global Optimization","author":"Price K.","year":"2005"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1023\/A:1008202821328"}],"container-title":["International Journal of Modeling, Simulation, and Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793962315500166","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T17:21:03Z","timestamp":1565112063000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793962315500166"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,3]]},"references-count":16,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2015,3,19]]},"published-print":{"date-parts":[[2015,3]]}},"alternative-id":["10.1142\/S1793962315500166"],"URL":"https:\/\/doi.org\/10.1142\/s1793962315500166","relation":{},"ISSN":["1793-9623","1793-9615"],"issn-type":[{"value":"1793-9623","type":"print"},{"value":"1793-9615","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,3]]}}}