Risk-Based Capacitor Placement in Distribution Networks
In this paper, the problem of sizing and placement of constant and switching capacitors in electrical distribution systems is modelled considering the load uncertainty. This model is formulated as a multicriteria mathematical problem. The risk of voltage violation is calculated, and the stability in...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/11/19/3145 |
| _version_ | 1797479807359909888 |
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| author | Hamid Falaghi Maryam Ramezani Hasan Elyasi Mahdi Farhadi Abouzar Estebsari |
| author_facet | Hamid Falaghi Maryam Ramezani Hasan Elyasi Mahdi Farhadi Abouzar Estebsari |
| author_sort | Hamid Falaghi |
| collection | DOAJ |
| description | In this paper, the problem of sizing and placement of constant and switching capacitors in electrical distribution systems is modelled considering the load uncertainty. This model is formulated as a multicriteria mathematical problem. The risk of voltage violation is calculated, and the stability index is modelled using fuzzy logic and fuzzy equations. The instability risk is introduced as the deviation of our fuzzy-based stability index with respect to the stability margin. The capacitor placement objectives in our paper include: (i) minimizing investment and installation costs as well as loss cost; (ii) reducing the risk of voltage violation; and (iii) reducing the instability risk. The proposed mathematical model is solved using a multi-objective version of a genetic algorithm. The model is implemented on a distribution network, and the results of the experiment are discussed. The impacts of constant and switching capacitors are assessed separately and concurrently. Moreover, the impact of uncertainty on the multi-objectives is determined based on a sensitivity analysis. It is demonstrated that the more the uncertainty is, the higher the system cost, the voltage risk and the instability risk are. |
| first_indexed | 2024-03-09T21:51:07Z |
| format | Article |
| id | doaj.art-a7684280f4c14696b3f85c1086712b56 |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-09T21:51:07Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-a7684280f4c14696b3f85c1086712b562023-11-23T20:07:06ZengMDPI AGElectronics2079-92922022-09-011119314510.3390/electronics11193145Risk-Based Capacitor Placement in Distribution NetworksHamid Falaghi0Maryam Ramezani1Hasan Elyasi2Mahdi Farhadi3Abouzar Estebsari4Faculty of Electrical and Computer Engineering, University of Birjand, Birjand 9717434765, IranFaculty of Electrical and Computer Engineering, University of Birjand, Birjand 9717434765, IranSouth Khorasan Electricity Distribution Company (SKEDC), Birjand 9719866945, IranFaculty of Computer and Industries, Birjand University of Technology, Birjand 9719866981, IranSchool of the Built Environment and Architecture, London South Bank University, London SE1 0AA, UKIn this paper, the problem of sizing and placement of constant and switching capacitors in electrical distribution systems is modelled considering the load uncertainty. This model is formulated as a multicriteria mathematical problem. The risk of voltage violation is calculated, and the stability index is modelled using fuzzy logic and fuzzy equations. The instability risk is introduced as the deviation of our fuzzy-based stability index with respect to the stability margin. The capacitor placement objectives in our paper include: (i) minimizing investment and installation costs as well as loss cost; (ii) reducing the risk of voltage violation; and (iii) reducing the instability risk. The proposed mathematical model is solved using a multi-objective version of a genetic algorithm. The model is implemented on a distribution network, and the results of the experiment are discussed. The impacts of constant and switching capacitors are assessed separately and concurrently. Moreover, the impact of uncertainty on the multi-objectives is determined based on a sensitivity analysis. It is demonstrated that the more the uncertainty is, the higher the system cost, the voltage risk and the instability risk are.https://www.mdpi.com/2079-9292/11/19/3145capacitor placementuncertaintyinstabilityvoltage riskfuzzy setgenetic algorithm |
| spellingShingle | Hamid Falaghi Maryam Ramezani Hasan Elyasi Mahdi Farhadi Abouzar Estebsari Risk-Based Capacitor Placement in Distribution Networks Electronics capacitor placement uncertainty instability voltage risk fuzzy set genetic algorithm |
| title | Risk-Based Capacitor Placement in Distribution Networks |
| title_full | Risk-Based Capacitor Placement in Distribution Networks |
| title_fullStr | Risk-Based Capacitor Placement in Distribution Networks |
| title_full_unstemmed | Risk-Based Capacitor Placement in Distribution Networks |
| title_short | Risk-Based Capacitor Placement in Distribution Networks |
| title_sort | risk based capacitor placement in distribution networks |
| topic | capacitor placement uncertainty instability voltage risk fuzzy set genetic algorithm |
| url | https://www.mdpi.com/2079-9292/11/19/3145 |
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