Linearization threshold condition and stability analysis of a stochastic dynamic model of one-machine infinite-bus (OMIB) power systems

Abstract With the increase in the proportion of multiple renewable energy sources, power electronics equipment and new loads, power systems are gradually evolving towards the integration of multi-energy, multi-network and multi-subject affected by more stochastic excitation with greater intensity. T...

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Main Authors: Lijuan Li, Yongdong Chen, Bin Zhou, Hongliang Liu, Yongfei Liu
Format: Article
Language:English
Published: SpringerOpen 2021-06-01
Series:Protection and Control of Modern Power Systems
Subjects:
Online Access:https://doi.org/10.1186/s41601-021-00198-8
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author Lijuan Li
Yongdong Chen
Bin Zhou
Hongliang Liu
Yongfei Liu
author_facet Lijuan Li
Yongdong Chen
Bin Zhou
Hongliang Liu
Yongfei Liu
author_sort Lijuan Li
collection DOAJ
description Abstract With the increase in the proportion of multiple renewable energy sources, power electronics equipment and new loads, power systems are gradually evolving towards the integration of multi-energy, multi-network and multi-subject affected by more stochastic excitation with greater intensity. There is a problem of establishing an effective stochastic dynamic model and algorithm under different stochastic excitation intensities. A Milstein-Euler predictor-corrector method for a nonlinear and linearized stochastic dynamic model of a power system is constructed to numerically discretize the models. The optimal threshold model of stochastic excitation intensity for linearizing the nonlinear stochastic dynamic model is proposed to obtain the corresponding linearization threshold condition. The simulation results of one-machine infinite-bus (OMIB) systems show the correctness and rationality of the predictor-corrector method and the linearization threshold condition for the power system stochastic dynamic model. This study provides a reference for stochastic modelling and efficient simulation of power systems with multiple stochastic excitations and has important application value for stability judgment and security evaluation.
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spelling doaj.art-eab047b5b1274ee68b09c31de46dfab32022-12-21T22:43:08ZengSpringerOpenProtection and Control of Modern Power Systems2367-26172367-09832021-06-016111110.1186/s41601-021-00198-8Linearization threshold condition and stability analysis of a stochastic dynamic model of one-machine infinite-bus (OMIB) power systemsLijuan Li0Yongdong Chen1Bin Zhou2Hongliang Liu3Yongfei Liu4College of Automation and Electronic Information, Hunan Engineering Research Center of Multi energy Cooperative Control Technology, Xiangtan UniversityCollege of Automation and Electronic Information, Xiangtan UniversityCollege of Electrical and Information Engineering, Hunan UniversityCollege of Mathematics and Computational Science, Xiangtan UniversityState Grid Jiangsu Electric Power Co. Electric Power Research InstituteAbstract With the increase in the proportion of multiple renewable energy sources, power electronics equipment and new loads, power systems are gradually evolving towards the integration of multi-energy, multi-network and multi-subject affected by more stochastic excitation with greater intensity. There is a problem of establishing an effective stochastic dynamic model and algorithm under different stochastic excitation intensities. A Milstein-Euler predictor-corrector method for a nonlinear and linearized stochastic dynamic model of a power system is constructed to numerically discretize the models. The optimal threshold model of stochastic excitation intensity for linearizing the nonlinear stochastic dynamic model is proposed to obtain the corresponding linearization threshold condition. The simulation results of one-machine infinite-bus (OMIB) systems show the correctness and rationality of the predictor-corrector method and the linearization threshold condition for the power system stochastic dynamic model. This study provides a reference for stochastic modelling and efficient simulation of power systems with multiple stochastic excitations and has important application value for stability judgment and security evaluation.https://doi.org/10.1186/s41601-021-00198-8Power system stabilityStochastic dynamic modelStochastic excitationStochastic processesThreshold condition
spellingShingle Lijuan Li
Yongdong Chen
Bin Zhou
Hongliang Liu
Yongfei Liu
Linearization threshold condition and stability analysis of a stochastic dynamic model of one-machine infinite-bus (OMIB) power systems
Protection and Control of Modern Power Systems
Power system stability
Stochastic dynamic model
Stochastic excitation
Stochastic processes
Threshold condition
title Linearization threshold condition and stability analysis of a stochastic dynamic model of one-machine infinite-bus (OMIB) power systems
title_full Linearization threshold condition and stability analysis of a stochastic dynamic model of one-machine infinite-bus (OMIB) power systems
title_fullStr Linearization threshold condition and stability analysis of a stochastic dynamic model of one-machine infinite-bus (OMIB) power systems
title_full_unstemmed Linearization threshold condition and stability analysis of a stochastic dynamic model of one-machine infinite-bus (OMIB) power systems
title_short Linearization threshold condition and stability analysis of a stochastic dynamic model of one-machine infinite-bus (OMIB) power systems
title_sort linearization threshold condition and stability analysis of a stochastic dynamic model of one machine infinite bus omib power systems
topic Power system stability
Stochastic dynamic model
Stochastic excitation
Stochastic processes
Threshold condition
url https://doi.org/10.1186/s41601-021-00198-8
work_keys_str_mv AT lijuanli linearizationthresholdconditionandstabilityanalysisofastochasticdynamicmodelofonemachineinfinitebusomibpowersystems
AT yongdongchen linearizationthresholdconditionandstabilityanalysisofastochasticdynamicmodelofonemachineinfinitebusomibpowersystems
AT binzhou linearizationthresholdconditionandstabilityanalysisofastochasticdynamicmodelofonemachineinfinitebusomibpowersystems
AT hongliangliu linearizationthresholdconditionandstabilityanalysisofastochasticdynamicmodelofonemachineinfinitebusomibpowersystems
AT yongfeiliu linearizationthresholdconditionandstabilityanalysisofastochasticdynamicmodelofonemachineinfinitebusomibpowersystems