Stabilization of wind farm integrated transmission system with input delay

In the process of large-scale wind farms integration, the time delay is usually caused by the introduction of wide area control signal, which leads to the unstable operation of integrated transmission system. In order to solve this problem, using the control principle of interconnection and damping...

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Main Authors: Gaoran Wang, Weiwei Sun, Shuqing Wang
Format: Article
Language:English
Published: AIMS Press 2021-06-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021533?viewType=HTML
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author Gaoran Wang
Weiwei Sun
Shuqing Wang
author_facet Gaoran Wang
Weiwei Sun
Shuqing Wang
author_sort Gaoran Wang
collection DOAJ
description In the process of large-scale wind farms integration, the time delay is usually caused by the introduction of wide area control signal, which leads to the unstable operation of integrated transmission system. In order to solve this problem, using the control principle of interconnection and damping assignment passivity-based (IDA-PB), this paper puts forward a control method which applies voltage source converter high voltage direct current (VSC-HVDC) technology to the integrated system of time-delay wind farm and keeps the system running stably. In this method, the framework of time-delay port controlled Hamiltonian (PCH) system is constructed, and the energy shaping of the system is carried out by extending the IDA-PB control principle, thus the feedback controller of the system is designed. Around the problem of time-delay stabilization, the stability criterion is obtained by constructing Lyapunov-Krasovskii functional and introducing free weighting matrices. Finally, the simulation results show that the proposed method can effectively solve the time delay problem of the integrated transmission system and avoid the performance deterioration of the system.
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spelling doaj.art-a28b351cff934a20814de09793a367212022-12-21T20:32:12ZengAIMS PressAIMS Mathematics2473-69882021-06-01699177919310.3934/math.2021533Stabilization of wind farm integrated transmission system with input delayGaoran Wang0Weiwei Sun1Shuqing Wang2Institute of Automation, Qufu Normal University, Qufu 273165, ChinaInstitute of Automation, Qufu Normal University, Qufu 273165, ChinaInstitute of Automation, Qufu Normal University, Qufu 273165, ChinaIn the process of large-scale wind farms integration, the time delay is usually caused by the introduction of wide area control signal, which leads to the unstable operation of integrated transmission system. In order to solve this problem, using the control principle of interconnection and damping assignment passivity-based (IDA-PB), this paper puts forward a control method which applies voltage source converter high voltage direct current (VSC-HVDC) technology to the integrated system of time-delay wind farm and keeps the system running stably. In this method, the framework of time-delay port controlled Hamiltonian (PCH) system is constructed, and the energy shaping of the system is carried out by extending the IDA-PB control principle, thus the feedback controller of the system is designed. Around the problem of time-delay stabilization, the stability criterion is obtained by constructing Lyapunov-Krasovskii functional and introducing free weighting matrices. Finally, the simulation results show that the proposed method can effectively solve the time delay problem of the integrated transmission system and avoid the performance deterioration of the system.https://www.aimspress.com/article/doi/10.3934/math.2021533?viewType=HTMLinput delaywind farm integrated transmissionhamiltonian system model with time delayenergy shapingfeedback controllyapunov-krasovskii functionaltime-delay stabilization
spellingShingle Gaoran Wang
Weiwei Sun
Shuqing Wang
Stabilization of wind farm integrated transmission system with input delay
AIMS Mathematics
input delay
wind farm integrated transmission
hamiltonian system model with time delay
energy shaping
feedback control
lyapunov-krasovskii functional
time-delay stabilization
title Stabilization of wind farm integrated transmission system with input delay
title_full Stabilization of wind farm integrated transmission system with input delay
title_fullStr Stabilization of wind farm integrated transmission system with input delay
title_full_unstemmed Stabilization of wind farm integrated transmission system with input delay
title_short Stabilization of wind farm integrated transmission system with input delay
title_sort stabilization of wind farm integrated transmission system with input delay
topic input delay
wind farm integrated transmission
hamiltonian system model with time delay
energy shaping
feedback control
lyapunov-krasovskii functional
time-delay stabilization
url https://www.aimspress.com/article/doi/10.3934/math.2021533?viewType=HTML
work_keys_str_mv AT gaoranwang stabilizationofwindfarmintegratedtransmissionsystemwithinputdelay
AT weiweisun stabilizationofwindfarmintegratedtransmissionsystemwithinputdelay
AT shuqingwang stabilizationofwindfarmintegratedtransmissionsystemwithinputdelay