A Randomized Algorithm for Chance Constrained Optimal Power Flow with Renewables
A chance constrained AC optimal power flow is to find the optimal economic operation plan whose probability satisfying AC power flow equations and various inequality constraints on operating limits of the power system is greater than a specified probability level. Even if a constraint condition for...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2017-07-01
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| Series: | SICE Journal of Control, Measurement, and System Integration |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.9746/jcmsi.10.303 |
| _version_ | 1827794791562215424 |
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| author | Takayuki Wada Ryosuke Morita Toru Asai Izumi Masubuchi Yasumasa Fujisaki |
| author_facet | Takayuki Wada Ryosuke Morita Toru Asai Izumi Masubuchi Yasumasa Fujisaki |
| author_sort | Takayuki Wada |
| collection | DOAJ |
| description | A chance constrained AC optimal power flow is to find the optimal economic operation plan whose probability satisfying AC power flow equations and various inequality constraints on operating limits of the power system is greater than a specified probability level. Even if a constraint condition for each uncertain power supply value is convex with respect to decision variables, the chance constrained problem is not convex in general. Thus, it is difficult to solve the problem within reasonable computational time. Employment of randomization techniques for this issue is proposed in this paper. A main advantage of the framework leads to a solution with a theoretical guarantee. Its sample complexities are of polynomial order for parameters of a given accuracy. The efficiency of this algorithm is demonstrated by applying it to the Japanese power system models. |
| first_indexed | 2024-03-11T18:38:53Z |
| format | Article |
| id | doaj.art-83d5008ce39440caac6d3c0c6aa42be3 |
| institution | Directory Open Access Journal |
| issn | 1884-9970 |
| language | English |
| last_indexed | 2024-03-11T18:38:53Z |
| publishDate | 2017-07-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | SICE Journal of Control, Measurement, and System Integration |
| spelling | doaj.art-83d5008ce39440caac6d3c0c6aa42be32023-10-12T13:43:54ZengTaylor & Francis GroupSICE Journal of Control, Measurement, and System Integration1884-99702017-07-0110430330910.9746/jcmsi.10.30312103144A Randomized Algorithm for Chance Constrained Optimal Power Flow with RenewablesTakayuki Wada0Ryosuke Morita1Toru Asai2Izumi Masubuchi3Yasumasa Fujisaki4Graduate School of Information Science and Technology, Osaka UniversityFaculty of Engineering, Gifu UniversityGraduate School of Engineering, Nagoya UniversityGraduate School of System Informatics, Kobe UniversityGraduate School of Information Science and Technology, Osaka UniversityA chance constrained AC optimal power flow is to find the optimal economic operation plan whose probability satisfying AC power flow equations and various inequality constraints on operating limits of the power system is greater than a specified probability level. Even if a constraint condition for each uncertain power supply value is convex with respect to decision variables, the chance constrained problem is not convex in general. Thus, it is difficult to solve the problem within reasonable computational time. Employment of randomization techniques for this issue is proposed in this paper. A main advantage of the framework leads to a solution with a theoretical guarantee. Its sample complexities are of polynomial order for parameters of a given accuracy. The efficiency of this algorithm is demonstrated by applying it to the Japanese power system models.http://dx.doi.org/10.9746/jcmsi.10.303randomized algorithmsoptimal power flowchance constrained programmingrenewable power sources |
| spellingShingle | Takayuki Wada Ryosuke Morita Toru Asai Izumi Masubuchi Yasumasa Fujisaki A Randomized Algorithm for Chance Constrained Optimal Power Flow with Renewables SICE Journal of Control, Measurement, and System Integration randomized algorithms optimal power flow chance constrained programming renewable power sources |
| title | A Randomized Algorithm for Chance Constrained Optimal Power Flow with Renewables |
| title_full | A Randomized Algorithm for Chance Constrained Optimal Power Flow with Renewables |
| title_fullStr | A Randomized Algorithm for Chance Constrained Optimal Power Flow with Renewables |
| title_full_unstemmed | A Randomized Algorithm for Chance Constrained Optimal Power Flow with Renewables |
| title_short | A Randomized Algorithm for Chance Constrained Optimal Power Flow with Renewables |
| title_sort | randomized algorithm for chance constrained optimal power flow with renewables |
| topic | randomized algorithms optimal power flow chance constrained programming renewable power sources |
| url | http://dx.doi.org/10.9746/jcmsi.10.303 |
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