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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Main Authors: Xuexia Zhang, Zhiqi Guo, Weirong Chen
Format: Article
Language:English
Published: MDPI AG 2017-04-01
Series:Energies
Subjects:
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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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