Non-linear modelling and stability analysis of the PTGS at pump mode

© 2017 The Institution of Engineering and Technology. For the sake of studying the stability of the pumped storage power station, the authors focused on the mathematical modelling of the pump-turbine governing system (PTGS) at pump mode. First of all, six transfer coefficients were introduced into...

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Main Authors: Wang, L., Han, Q., Chen, D., Wu, Changzhi, Wang, Xiangyu
Format: Journal Article
Published: The Institution of Engineering & Technology 2017
Online Access:http://hdl.handle.net/20.500.11937/63965
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author Wang, L.
Han, Q.
Chen, D.
Wu, Changzhi
Wang, Xiangyu
author_facet Wang, L.
Han, Q.
Chen, D.
Wu, Changzhi
Wang, Xiangyu
author_sort Wang, L.
building Curtin Institutional Repository
collection Online Access
description © 2017 The Institution of Engineering and Technology. For the sake of studying the stability of the pumped storage power station, the authors focused on the mathematical modelling of the pump-turbine governing system (PTGS) at pump mode. First of all, six transfer coefficients were introduced into the model of the pump-turbine. Furthermore, utilising the internal characteristics formulas, they obtained six analytical expressions of the transfer coefficients at pump mode. Considering the elastic water-hammer model of the penstock with hydraulic friction and the second-order model of the generator, a non-linear model of the PTGS was proposed. On the basis of a real case, they obtained the curve of bifurcation points of the system by using the stability theorem, and verified the correctness of the theoretical analysis results from numerical experiments. Moreover, the stable domains of the proportional-integral- derivative parameters kp and kd were identified and the non-linear dynamic behaviours of the governing system were studied. Finally, these methods and analytic results could help them improve the safety operation and performance of the pumped storage power station.
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format Journal Article
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T10:26:36Z
publishDate 2017
publisher The Institution of Engineering & Technology
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spelling curtin-20.500.11937-639652018-02-06T12:08:54Z Non-linear modelling and stability analysis of the PTGS at pump mode Wang, L. Han, Q. Chen, D. Wu, Changzhi Wang, Xiangyu © 2017 The Institution of Engineering and Technology. For the sake of studying the stability of the pumped storage power station, the authors focused on the mathematical modelling of the pump-turbine governing system (PTGS) at pump mode. First of all, six transfer coefficients were introduced into the model of the pump-turbine. Furthermore, utilising the internal characteristics formulas, they obtained six analytical expressions of the transfer coefficients at pump mode. Considering the elastic water-hammer model of the penstock with hydraulic friction and the second-order model of the generator, a non-linear model of the PTGS was proposed. On the basis of a real case, they obtained the curve of bifurcation points of the system by using the stability theorem, and verified the correctness of the theoretical analysis results from numerical experiments. Moreover, the stable domains of the proportional-integral- derivative parameters kp and kd were identified and the non-linear dynamic behaviours of the governing system were studied. Finally, these methods and analytic results could help them improve the safety operation and performance of the pumped storage power station. 2017 Journal Article http://hdl.handle.net/20.500.11937/63965 10.1049/iet-rpg.2016.0707 The Institution of Engineering & Technology restricted
spellingShingle Wang, L.
Han, Q.
Chen, D.
Wu, Changzhi
Wang, Xiangyu
Non-linear modelling and stability analysis of the PTGS at pump mode
title Non-linear modelling and stability analysis of the PTGS at pump mode
title_full Non-linear modelling and stability analysis of the PTGS at pump mode
title_fullStr Non-linear modelling and stability analysis of the PTGS at pump mode
title_full_unstemmed Non-linear modelling and stability analysis of the PTGS at pump mode
title_short Non-linear modelling and stability analysis of the PTGS at pump mode
title_sort non-linear modelling and stability analysis of the ptgs at pump mode
url http://hdl.handle.net/20.500.11937/63965