Hybrid Stochastic and Interval Power Flow Considering Uncertain Wind Power and Photovoltaic Power

It is an important means for knowing something about the influence of uncertain factors on the power flow state to calculate uncertain power flow. In this paper, the uncertain power flow problem considering wind power and photovoltaic power generation is studied. The interval distribution models of...

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Main Authors: Xiaoxuan Guo, Renxi Gong, Haibo Bao, Qingyu Wang
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8744233/
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author Xiaoxuan Guo
Renxi Gong
Haibo Bao
Qingyu Wang
author_facet Xiaoxuan Guo
Renxi Gong
Haibo Bao
Qingyu Wang
author_sort Xiaoxuan Guo
collection DOAJ
description It is an important means for knowing something about the influence of uncertain factors on the power flow state to calculate uncertain power flow. In this paper, the uncertain power flow problem considering wind power and photovoltaic power generation is studied. The interval distribution models of wind power and photovoltaic power generation are established by expressing the natural factors such as wind speed and light intensity as interval variables, and an uncertain power flow model of hybrid stochastic and interval variables is established by expressing the node load as the stochastic variable to obey the Gaussian distribution. A double-layer Monte Carlo method is proposed to solve it. The numerical results obtained by the IEEE-30 bus system show that the proposed model and method are effective, by which the maximum and minimum cumulative probability functions of the power flow state can be obtained, thus determining whether the probabilistic interval of the power flow state is out-of-limit (maximum probability and minimum probability).
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spelling doaj.art-323d587a31304f6a90eeb9068980a9692022-12-21T18:11:15ZengIEEEIEEE Access2169-35362019-01-017850908509710.1109/ACCESS.2019.29244368744233Hybrid Stochastic and Interval Power Flow Considering Uncertain Wind Power and Photovoltaic PowerXiaoxuan Guo0https://orcid.org/0000-0003-4754-2467Renxi Gong1Haibo Bao2Qingyu Wang3School of Electrical Engineering, Guangxi University, Nanning, ChinaSchool of Electrical Engineering, Guangxi University, Nanning, ChinaNanning Power Supply Bureau, Guangxi Power Grid Corporation, Nanning, ChinaSchool of Electrical Engineering, Guangxi University, Nanning, ChinaIt is an important means for knowing something about the influence of uncertain factors on the power flow state to calculate uncertain power flow. In this paper, the uncertain power flow problem considering wind power and photovoltaic power generation is studied. The interval distribution models of wind power and photovoltaic power generation are established by expressing the natural factors such as wind speed and light intensity as interval variables, and an uncertain power flow model of hybrid stochastic and interval variables is established by expressing the node load as the stochastic variable to obey the Gaussian distribution. A double-layer Monte Carlo method is proposed to solve it. The numerical results obtained by the IEEE-30 bus system show that the proposed model and method are effective, by which the maximum and minimum cumulative probability functions of the power flow state can be obtained, thus determining whether the probabilistic interval of the power flow state is out-of-limit (maximum probability and minimum probability).https://ieeexplore.ieee.org/document/8744233/Interval variablestochastic variabledouble-layer Monte Carlo methodphotovoltaic power generationwind power generation
spellingShingle Xiaoxuan Guo
Renxi Gong
Haibo Bao
Qingyu Wang
Hybrid Stochastic and Interval Power Flow Considering Uncertain Wind Power and Photovoltaic Power
IEEE Access
Interval variable
stochastic variable
double-layer Monte Carlo method
photovoltaic power generation
wind power generation
title Hybrid Stochastic and Interval Power Flow Considering Uncertain Wind Power and Photovoltaic Power
title_full Hybrid Stochastic and Interval Power Flow Considering Uncertain Wind Power and Photovoltaic Power
title_fullStr Hybrid Stochastic and Interval Power Flow Considering Uncertain Wind Power and Photovoltaic Power
title_full_unstemmed Hybrid Stochastic and Interval Power Flow Considering Uncertain Wind Power and Photovoltaic Power
title_short Hybrid Stochastic and Interval Power Flow Considering Uncertain Wind Power and Photovoltaic Power
title_sort hybrid stochastic and interval power flow considering uncertain wind power and photovoltaic power
topic Interval variable
stochastic variable
double-layer Monte Carlo method
photovoltaic power generation
wind power generation
url https://ieeexplore.ieee.org/document/8744233/
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AT renxigong hybridstochasticandintervalpowerflowconsideringuncertainwindpowerandphotovoltaicpower
AT haibobao hybridstochasticandintervalpowerflowconsideringuncertainwindpowerandphotovoltaicpower
AT qingyuwang hybridstochasticandintervalpowerflowconsideringuncertainwindpowerandphotovoltaicpower