Probabilistic Power Flow for Hybrid AC/DC Grids with Ninth-Order Polynomial Normal Transformation and Inherited Latin Hypercube Sampling
This paper proposes a new probabilistic power flow method for the hybrid AC/VSC-MTDC (Voltage Source Control-Multiple Terminal Direct Current) grids, which is based on the combination of ninth-order polynomial normal transformation (NPNT) and inherited Latin hypercube sampling (ILHS) techniques. NPN...
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MDPI AG
2019-08-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/12/16/3088 |
| _version_ | 1798003466688266240 |
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| author | Sui Peng Huixiang Chen Yong Lin Tong Shu Xingyu Lin Junjie Tang Wenyuan Li Weijie Wu |
| author_facet | Sui Peng Huixiang Chen Yong Lin Tong Shu Xingyu Lin Junjie Tang Wenyuan Li Weijie Wu |
| author_sort | Sui Peng |
| collection | DOAJ |
| description | This paper proposes a new probabilistic power flow method for the hybrid AC/VSC-MTDC (Voltage Source Control-Multiple Terminal Direct Current) grids, which is based on the combination of ninth-order polynomial normal transformation (NPNT) and inherited Latin hypercube sampling (ILHS) techniques. NPNT is utilized to directly handle historical records of uncertain sources to build the accurate probability model of random inputs, and ILHS is adopted to propagate the randomness from inputs to target outputs. Regardless of whether the underlying probability distribution is known or unknown, the proposed method has the ability to adaptively evaluate the sample size according to a specific operational scenario of the power systems, thus achieving a good balance between computational accuracy and speed. Meanwhile, the frequency histograms, probability distributions, and some more statistics of the results can be accurately and efficiently estimated as well. The modified IEEE 118-bus system, together with the realistic data of wind speeds and diverse consumer behaviors following irregular distributions, is used to demonstrate the effectiveness and superiority of the proposed method. |
| first_indexed | 2024-04-11T12:08:05Z |
| format | Article |
| id | doaj.art-10c248b907a7440cb94363db47013b0d |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-04-11T12:08:05Z |
| publishDate | 2019-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-10c248b907a7440cb94363db47013b0d2022-12-22T04:24:40ZengMDPI AGEnergies1996-10732019-08-011216308810.3390/en12163088en12163088Probabilistic Power Flow for Hybrid AC/DC Grids with Ninth-Order Polynomial Normal Transformation and Inherited Latin Hypercube SamplingSui Peng0Huixiang Chen1Yong Lin2Tong Shu3Xingyu Lin4Junjie Tang5Wenyuan Li6Weijie Wu7Grid Planning and Research Center, Guangdong Power Grid Corporation, CSG, Guangzhou 510080, ChinaGrid Planning and Research Center, Guangdong Power Grid Corporation, CSG, Guangzhou 510080, ChinaGrid Planning and Research Center, Guangdong Power Grid Corporation, CSG, Guangzhou 510080, ChinaPower and Energy Reliability Research Center, State Key Laboratory of Power Transmission Equipment & System Security and New Technology, Chongqing University, Chongqing 400044, ChinaPower and Energy Reliability Research Center, State Key Laboratory of Power Transmission Equipment & System Security and New Technology, Chongqing University, Chongqing 400044, ChinaPower and Energy Reliability Research Center, State Key Laboratory of Power Transmission Equipment & System Security and New Technology, Chongqing University, Chongqing 400044, ChinaPower and Energy Reliability Research Center, State Key Laboratory of Power Transmission Equipment & System Security and New Technology, Chongqing University, Chongqing 400044, ChinaGrid Planning and Research Center, Guangdong Power Grid Corporation, CSG, Guangzhou 510080, ChinaThis paper proposes a new probabilistic power flow method for the hybrid AC/VSC-MTDC (Voltage Source Control-Multiple Terminal Direct Current) grids, which is based on the combination of ninth-order polynomial normal transformation (NPNT) and inherited Latin hypercube sampling (ILHS) techniques. NPNT is utilized to directly handle historical records of uncertain sources to build the accurate probability model of random inputs, and ILHS is adopted to propagate the randomness from inputs to target outputs. Regardless of whether the underlying probability distribution is known or unknown, the proposed method has the ability to adaptively evaluate the sample size according to a specific operational scenario of the power systems, thus achieving a good balance between computational accuracy and speed. Meanwhile, the frequency histograms, probability distributions, and some more statistics of the results can be accurately and efficiently estimated as well. The modified IEEE 118-bus system, together with the realistic data of wind speeds and diverse consumer behaviors following irregular distributions, is used to demonstrate the effectiveness and superiority of the proposed method.https://www.mdpi.com/1996-1073/12/16/3088probabilistic power flowAC/VSC-MTDC hybrid gridsuncertaintyninth-order polynomial normal transformationinherited Latin hypercube sampling |
| spellingShingle | Sui Peng Huixiang Chen Yong Lin Tong Shu Xingyu Lin Junjie Tang Wenyuan Li Weijie Wu Probabilistic Power Flow for Hybrid AC/DC Grids with Ninth-Order Polynomial Normal Transformation and Inherited Latin Hypercube Sampling Energies probabilistic power flow AC/VSC-MTDC hybrid grids uncertainty ninth-order polynomial normal transformation inherited Latin hypercube sampling |
| title | Probabilistic Power Flow for Hybrid AC/DC Grids with Ninth-Order Polynomial Normal Transformation and Inherited Latin Hypercube Sampling |
| title_full | Probabilistic Power Flow for Hybrid AC/DC Grids with Ninth-Order Polynomial Normal Transformation and Inherited Latin Hypercube Sampling |
| title_fullStr | Probabilistic Power Flow for Hybrid AC/DC Grids with Ninth-Order Polynomial Normal Transformation and Inherited Latin Hypercube Sampling |
| title_full_unstemmed | Probabilistic Power Flow for Hybrid AC/DC Grids with Ninth-Order Polynomial Normal Transformation and Inherited Latin Hypercube Sampling |
| title_short | Probabilistic Power Flow for Hybrid AC/DC Grids with Ninth-Order Polynomial Normal Transformation and Inherited Latin Hypercube Sampling |
| title_sort | probabilistic power flow for hybrid ac dc grids with ninth order polynomial normal transformation and inherited latin hypercube sampling |
| topic | probabilistic power flow AC/VSC-MTDC hybrid grids uncertainty ninth-order polynomial normal transformation inherited Latin hypercube sampling |
| url | https://www.mdpi.com/1996-1073/12/16/3088 |
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