Probabilistic Power Flow Method Considering Continuous and Discrete Variables
This paper proposes a probabilistic power flow (PPF) method considering continuous and discrete variables (continuous and discrete power flow, CDPF) for power systems. The proposed method—based on the cumulant method (CM) and multiple deterministic power flow (MDPF) calculations—can deal with contin...
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MDPI AG
2017-04-01
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Series: | Energies |
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Online Access: | http://www.mdpi.com/1996-1073/10/5/590 |
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author | Xuexia Zhang Zhiqi Guo Weirong Chen |
author_facet | Xuexia Zhang Zhiqi Guo Weirong Chen |
author_sort | Xuexia Zhang |
collection | DOAJ |
description | This paper proposes a probabilistic power flow (PPF) method considering continuous and discrete variables (continuous and discrete power flow, CDPF) for power systems. The proposed method—based on the cumulant method (CM) and multiple deterministic power flow (MDPF) calculations—can deal with continuous variables such as wind power generation (WPG) and loads, and discrete variables such as fuel cell generation (FCG). In this paper, continuous variables follow a normal distribution (loads) or a non-normal distribution (WPG), and discrete variables follow a binomial distribution (FCG). Through testing on IEEE 14-bus and IEEE 118-bus power systems, the proposed method (CDPF) has better accuracy compared with the CM, and higher efficiency compared with the Monte Carlo simulation method (MCSM). |
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format | Article |
id | doaj.art-7be879c0ef7b4e1d956687e1de385580 |
institution | Directory Open Access Journal |
issn | 1996-1073 |
language | English |
last_indexed | 2024-04-11T22:16:24Z |
publishDate | 2017-04-01 |
publisher | MDPI AG |
record_format | Article |
series | Energies |
spelling | doaj.art-7be879c0ef7b4e1d956687e1de3855802022-12-22T04:00:23ZengMDPI AGEnergies1996-10732017-04-0110559010.3390/en10050590en10050590Probabilistic Power Flow Method Considering Continuous and Discrete VariablesXuexia Zhang0Zhiqi Guo1Weirong Chen2School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, ChinaSchool of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, ChinaSchool of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, ChinaThis paper proposes a probabilistic power flow (PPF) method considering continuous and discrete variables (continuous and discrete power flow, CDPF) for power systems. The proposed method—based on the cumulant method (CM) and multiple deterministic power flow (MDPF) calculations—can deal with continuous variables such as wind power generation (WPG) and loads, and discrete variables such as fuel cell generation (FCG). In this paper, continuous variables follow a normal distribution (loads) or a non-normal distribution (WPG), and discrete variables follow a binomial distribution (FCG). Through testing on IEEE 14-bus and IEEE 118-bus power systems, the proposed method (CDPF) has better accuracy compared with the CM, and higher efficiency compared with the Monte Carlo simulation method (MCSM).http://www.mdpi.com/1996-1073/10/5/590probabilistic power flow (PPF)discrete variablecumulant method (CM)deterministic power flow (DPF) calculation |
spellingShingle | Xuexia Zhang Zhiqi Guo Weirong Chen Probabilistic Power Flow Method Considering Continuous and Discrete Variables Energies probabilistic power flow (PPF) discrete variable cumulant method (CM) deterministic power flow (DPF) calculation |
title | Probabilistic Power Flow Method Considering Continuous and Discrete Variables |
title_full | Probabilistic Power Flow Method Considering Continuous and Discrete Variables |
title_fullStr | Probabilistic Power Flow Method Considering Continuous and Discrete Variables |
title_full_unstemmed | Probabilistic Power Flow Method Considering Continuous and Discrete Variables |
title_short | Probabilistic Power Flow Method Considering Continuous and Discrete Variables |
title_sort | probabilistic power flow method considering continuous and discrete variables |
topic | probabilistic power flow (PPF) discrete variable cumulant method (CM) deterministic power flow (DPF) calculation |
url | http://www.mdpi.com/1996-1073/10/5/590 |
work_keys_str_mv | AT xuexiazhang probabilisticpowerflowmethodconsideringcontinuousanddiscretevariables AT zhiqiguo probabilisticpowerflowmethodconsideringcontinuousanddiscretevariables AT weirongchen probabilisticpowerflowmethodconsideringcontinuousanddiscretevariables |