Network algebraization and port relationship for power‐electronic‐dominated power systems

Abstract In the classical differential‐algebraic equations (DAEs) framework for the traditional power system stability analysis, synchronous generators are depicted by differential equations and network by algebraic equations under the quasi‐steady‐state assumption. Differently, in the power‐electro...

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Main Authors: Rui Ma, Xiaowen Yang, Meng Zhan
Format: Article
Language:English
Published: Wiley 2024-12-01
Series:IET Renewable Power Generation
Subjects:
Online Access:https://doi.org/10.1049/rpg2.13164
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author Rui Ma
Xiaowen Yang
Meng Zhan
author_facet Rui Ma
Xiaowen Yang
Meng Zhan
author_sort Rui Ma
collection DOAJ
description Abstract In the classical differential‐algebraic equations (DAEs) framework for the traditional power system stability analysis, synchronous generators are depicted by differential equations and network by algebraic equations under the quasi‐steady‐state assumption. Differently, in the power‐electronic‐dominated power system (PEDPS), the dynamics of transmission lines of network for fully differential equations should be considered, due to the rapid response of converters' controls, for example, the alternating current controls. This poses a great challenge for the cognition, modeling, and analysis of the PEDPS. In this article, a nonlinear DAE model framework for the PEDPS is established with differential equations for the source nodes and algebraic equations for the dynamical electrical network, by generalizing the application scenarios of Kron reduction. The internal and terminal voltages of source nodes of converters are chosen as ports of nodes and network. Namely, the internal and terminal voltages of source nodes work as their output and input, respectively, whereas they work as the input and output of the algebraic network, respectively. The impact of dynamical network becomes clear, namely, it serves as a (linear) voltage divider and generates the terminal voltage based on the internal voltage of the sources simultaneously. By keeping only useful independent state variables, all differential equations for the transmission lines can be transferred to algebraic equations. With this simple model, the roles of both nodes and network become apparent, and it enhances the understanding of the PEDPS dynamics. On the other hand, broad simulations are conducted and compared to verify the proposed DAE framework for the PEDPS. As all independent variables have been kept in the model, it is found that they show the same computational accuracy, but better efficiency in computational time, compared to the electromagnetic‐transient simulation results.
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spelling doaj-art-c7983a40368041eaa6f191f5df21dc512025-08-20T02:40:32ZengWileyIET Renewable Power Generation1752-14161752-14242024-12-0118S14519452910.1049/rpg2.13164Network algebraization and port relationship for power‐electronic‐dominated power systemsRui Ma0Xiaowen Yang1Meng Zhan2Key Laboratory of Power System Intelligent Dispatch and Control of Ministry of Education, School of Electrical Engineering Shandong University Jinan ChinaState Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering Huazhong University of Science and Technology Wuhan ChinaState Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering Huazhong University of Science and Technology Wuhan ChinaAbstract In the classical differential‐algebraic equations (DAEs) framework for the traditional power system stability analysis, synchronous generators are depicted by differential equations and network by algebraic equations under the quasi‐steady‐state assumption. Differently, in the power‐electronic‐dominated power system (PEDPS), the dynamics of transmission lines of network for fully differential equations should be considered, due to the rapid response of converters' controls, for example, the alternating current controls. This poses a great challenge for the cognition, modeling, and analysis of the PEDPS. In this article, a nonlinear DAE model framework for the PEDPS is established with differential equations for the source nodes and algebraic equations for the dynamical electrical network, by generalizing the application scenarios of Kron reduction. The internal and terminal voltages of source nodes of converters are chosen as ports of nodes and network. Namely, the internal and terminal voltages of source nodes work as their output and input, respectively, whereas they work as the input and output of the algebraic network, respectively. The impact of dynamical network becomes clear, namely, it serves as a (linear) voltage divider and generates the terminal voltage based on the internal voltage of the sources simultaneously. By keeping only useful independent state variables, all differential equations for the transmission lines can be transferred to algebraic equations. With this simple model, the roles of both nodes and network become apparent, and it enhances the understanding of the PEDPS dynamics. On the other hand, broad simulations are conducted and compared to verify the proposed DAE framework for the PEDPS. As all independent variables have been kept in the model, it is found that they show the same computational accuracy, but better efficiency in computational time, compared to the electromagnetic‐transient simulation results.https://doi.org/10.1049/rpg2.13164AC‐DC power convertorsdifferential algebraic equationsdifferential equationsintegrationpower system dynamic stabilityrenewable energy power conversion
spellingShingle Rui Ma
Xiaowen Yang
Meng Zhan
Network algebraization and port relationship for power‐electronic‐dominated power systems
IET Renewable Power Generation
AC‐DC power convertors
differential algebraic equations
differential equations
integration
power system dynamic stability
renewable energy power conversion
title Network algebraization and port relationship for power‐electronic‐dominated power systems
title_full Network algebraization and port relationship for power‐electronic‐dominated power systems
title_fullStr Network algebraization and port relationship for power‐electronic‐dominated power systems
title_full_unstemmed Network algebraization and port relationship for power‐electronic‐dominated power systems
title_short Network algebraization and port relationship for power‐electronic‐dominated power systems
title_sort network algebraization and port relationship for power electronic dominated power systems
topic AC‐DC power convertors
differential algebraic equations
differential equations
integration
power system dynamic stability
renewable energy power conversion
url https://doi.org/10.1049/rpg2.13164
work_keys_str_mv AT ruima networkalgebraizationandportrelationshipforpowerelectronicdominatedpowersystems
AT xiaowenyang networkalgebraizationandportrelationshipforpowerelectronicdominatedpowersystems
AT mengzhan networkalgebraizationandportrelationshipforpowerelectronicdominatedpowersystems