Modeling of ac machines using a voltage-behind-reactance formulation for simulation of electromagnetic transients in power systems

Modeling of electrical machines for power system’s electromagnetic transient programs (EMTP) has been an active area of research since the late 1970s. Most machine models are based on the qd reference frame. The phase-domain (PD) model was also proposed wherein the direct interface with the external...

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Main Author: Wang, Liwei
Language:English
Published: University of British Columbia 2010
Online Access:http://hdl.handle.net/2429/20572
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spelling ndltd-LACETR-oai-collectionscanada.gc.ca-BVAU.2429-205722014-03-26T03:36:41Z Modeling of ac machines using a voltage-behind-reactance formulation for simulation of electromagnetic transients in power systems Wang, Liwei Modeling of electrical machines for power system’s electromagnetic transient programs (EMTP) has been an active area of research since the late 1970s. Most machine models are based on the qd reference frame. The phase-domain (PD) model was also proposed wherein the direct interface with the external network is achieved at a price of increased the computational cost. This thesis focuses on improving the numerical efficiency and accuracy of machine models for power systems transient simulation. The modeling approach developed in this thesis is based on the so-called voltage-behind-reactance (VBR) formulation. The new VBR models of synchronous and induction machines are proposed for EMTP-type solution. It is shown that the proposed VBR models significantly improve the overall numerical accuracy and efficiency, compared with the traditional qd and PD models, due to the direct machine-network interface and better-scaled eigenvalues. The proposed model implementations require as little as 240 flops for synchronous and 108 flops for induction machines, per time-step, respectively. This amounts to 3.75 microseconds and 1.6 microseconds (per time-step) of the CPU time on a modest personal computer and represents a significant improvement over existing EMTP machine models. Magnetic saturation has been incorporated into the VBR models for EMTP-type solution. Computer studies demonstrate that the proposed saturable VBR model in addition of being very efficient also preserves good numerical accuracy and stability even at very large time step. A new full-order VBR induction machine model is also proposed for state-variable simulation languages. Computer studies demonstrate that the proposed models achieve a 740% improvement in computational efficiency as compared with the coupled-circuit models used in state-variable simulation languages. Finally, an approximate VBR induction machine model is proposed for the discretized EMTP solution wherein a constant equivalent conductance matrix is achieved. This further improves the efficiency of the machine-network solution since it avoids the re-factorization of the network conductance matrix at every time step. It is envisioned by the author that due to structural and numerical advantages, the proposed VBR models will find wide application in simulation packages and tools widely used in the power industry. 2010-02-19T20:53:37Z 2010-02-19T20:53:37Z 2010 2010-02-19T20:53:37Z 2010-05 Electronic Thesis or Dissertation http://hdl.handle.net/2429/20572 eng University of British Columbia
collection NDLTD
language English
sources NDLTD
description Modeling of electrical machines for power system’s electromagnetic transient programs (EMTP) has been an active area of research since the late 1970s. Most machine models are based on the qd reference frame. The phase-domain (PD) model was also proposed wherein the direct interface with the external network is achieved at a price of increased the computational cost. This thesis focuses on improving the numerical efficiency and accuracy of machine models for power systems transient simulation. The modeling approach developed in this thesis is based on the so-called voltage-behind-reactance (VBR) formulation. The new VBR models of synchronous and induction machines are proposed for EMTP-type solution. It is shown that the proposed VBR models significantly improve the overall numerical accuracy and efficiency, compared with the traditional qd and PD models, due to the direct machine-network interface and better-scaled eigenvalues. The proposed model implementations require as little as 240 flops for synchronous and 108 flops for induction machines, per time-step, respectively. This amounts to 3.75 microseconds and 1.6 microseconds (per time-step) of the CPU time on a modest personal computer and represents a significant improvement over existing EMTP machine models. Magnetic saturation has been incorporated into the VBR models for EMTP-type solution. Computer studies demonstrate that the proposed saturable VBR model in addition of being very efficient also preserves good numerical accuracy and stability even at very large time step. A new full-order VBR induction machine model is also proposed for state-variable simulation languages. Computer studies demonstrate that the proposed models achieve a 740% improvement in computational efficiency as compared with the coupled-circuit models used in state-variable simulation languages. Finally, an approximate VBR induction machine model is proposed for the discretized EMTP solution wherein a constant equivalent conductance matrix is achieved. This further improves the efficiency of the machine-network solution since it avoids the re-factorization of the network conductance matrix at every time step. It is envisioned by the author that due to structural and numerical advantages, the proposed VBR models will find wide application in simulation packages and tools widely used in the power industry.
author Wang, Liwei
spellingShingle Wang, Liwei
Modeling of ac machines using a voltage-behind-reactance formulation for simulation of electromagnetic transients in power systems
author_facet Wang, Liwei
author_sort Wang, Liwei
title Modeling of ac machines using a voltage-behind-reactance formulation for simulation of electromagnetic transients in power systems
title_short Modeling of ac machines using a voltage-behind-reactance formulation for simulation of electromagnetic transients in power systems
title_full Modeling of ac machines using a voltage-behind-reactance formulation for simulation of electromagnetic transients in power systems
title_fullStr Modeling of ac machines using a voltage-behind-reactance formulation for simulation of electromagnetic transients in power systems
title_full_unstemmed Modeling of ac machines using a voltage-behind-reactance formulation for simulation of electromagnetic transients in power systems
title_sort modeling of ac machines using a voltage-behind-reactance formulation for simulation of electromagnetic transients in power systems
publisher University of British Columbia
publishDate 2010
url http://hdl.handle.net/2429/20572
work_keys_str_mv AT wangliwei modelingofacmachinesusingavoltagebehindreactanceformulationforsimulationofelectromagnetictransientsinpowersystems
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