Steady-state solution of a VFT park using the limit cycle method and a reduced order model

Contreras-Aguilar, L.; García, Norberto Fernández

doi:10.1109/ptc.2009.5281979

Cited by 5 publications

(4 citation statements)

References 8 publications

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“…The computation of the state variable at the limit cycle using a Newton method is defined as (8) where is the state variable at the limit cycle, is the state variable at the beginning of the base cycle, and is the state variable at the end of the base cycle.…”

Section: Limit Cycle Methodsmentioning

confidence: 99%

“…It can be appreciated that as a first step, an initial steady-state solution is assumed for an initial scalar parameter and the initial predicted value is set with at . The predicted value is corrected with the limit cycle method by computing the transition matrix ((12) or (16)) and the state variables at the limit cycle (8). Once the steady-state is determined, Floquet multipliers can be computed using matrix .…”

Section: A Sequential Continuation Scheme and The Limit Cycle Methodsmentioning

confidence: 99%

“…Furthermore, a review of actual and potential VFT installations is presented in [6], which emphasizes increasing interest to operate a set of VFTs in a coordinated fashion with a back-to-back HVDC. In timely contributions [7], [8], the steady-state and dynamic solutions are reported for a new VFT Park model consisting of a group of VFTs connected in parallel to increase the power transfer between two asynchronous networks. However, no contributions can be found in the open literature to study the operation of a group of VFTs using a stability-oriented analysis.…”

Section: Introductionmentioning

confidence: 99%

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Stability Analyses of a VFT Park Using a Sequential Continuation Scheme and the Limit Cycle Method

Contreras-Aguilar

García

2011

IEEE Trans. Power Delivery

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A new procedure to determine the stability of a steady-state solution based on a sequential continuation scheme, Floquet theory and the limit cycle method is presented in this paper. The continuation scheme relies on an efficient predictor-corrector scheme, where the correction is accomplished through the limit cycle method. Furthermore, a comprehensive variable frequency transformer (VFT) Park model is proposed to study the stability of asynchronous links. The VFT Park allows the simulation of multiunit VFTs operated in parallel in order to increase the power transfer between two electric power networks. Each VFT unit consists of a wound-rotor asynchronous machine, a dc motor, and a control system, which provides power transfer regulation using power and speed controllers. The steady-state operating point of a VFT Park consisting of three 100-MW VFT units is computed with the limit cycle method for a set of heterogeneous operating scenarios. Stability diagrams are reported for changes of the VFT parameters, power transfer, and frequency on both sides of the asynchronous link. Even though the VFT is operated within its rated power transfer limits, simulation results reveal that a VFT may become unstable not only for changes of power transfer but also for variations of frequency.Index Terms-Floquet theory, limit cycle method, sequential continuation scheme, stability analyses, variable-frequency transformer (VFT), wound-rotor induction machine. NOMENCLATUREFlux linkage. Stator leakage reactance. Rotor leakage reactance. Magnetizing reactance. Stator angular velocity. Rotor angular velocity. Base angular velocity. Synchronous reference frame. Stator reference frame. Rotor reference frame. Quadrature-axis quantity. Transition matrix. Manuscript received

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Section: Limit Cycle Methodsmentioning

confidence: 99%

Section: A Sequential Continuation Scheme and The Limit Cycle Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Stability Analyses of a VFT Park Using a Sequential Continuation Scheme and the Limit Cycle Method

Contreras-Aguilar

García

2011

IEEE Trans. Power Delivery

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“…The VFT park enables the installation of various units of VFTs operating in parallel. In the VFT park model, each VFT unit is acquired with a wound rotor induction machine (WRIM), coupling transformers, and capacitor banks [90]. Fig.…”

Section: Vft Configuration For High Power Exchangementioning

confidence: 99%

Research on Variable Frequency Transformer: A Smart Power Transmission Technology

et al. 2021

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The electric power systems are interconnected for the economical and reliable operation of power supply systems. An interconnection of power systems can be implemented through AC and DC links. A variable frequency transformer (VFT) has emerged as an alternative for asynchronous interconnection, like back-to-back HVDC links. Unlike back-to-back HVDC links, VFT requires reduced reactive power, offers quicker incipient transient recovery, and has coherent damping ability. Various control strategies have been proposed in the literature to achieve the controllable and reliable operation of VFT. The VFT can be scalable for high power exchange by implementing the VFT Park model. The VFT is essentially a doubly-fed induction machine (DFIM) based system that needs slip rings and brushes in the rotor circuit. Hence, brushless doubly-fed induction machine (BDFIM) based VFT systems and their various topologies are proposed in the literature. In this paper, a comprehensive review is carried out, which includes: power system networks interconnection philosophy, power flow controllers used in the interconnected networks, FACTS controllers, and HVDC link with their technical merits and limitations. A comparison of VFT with its counter technology back-to-back HVDC link is also elaborated, which suggests VFT a better option for asynchronous grid interconnection. Moreover, a thorough literature review is done concerning VFT configuration, controls, and scaling with research papers and patents. Furthermore, detailed mathematical modeling of the VFT system is also carried out along with the numerical simulations under both steady-state and various fault conditions using PSCAD/EMTDC software.

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On the periodic steady-state analysis of induction machines interfaced through VSCs using the Poincaré map method and a Voltage-Behind-Reactance model

García

Acha

2013

Electric Power Systems Research

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Steady-state solution of a VFT park using the limit cycle method and a reduced order model

Cited by 5 publications

References 8 publications

Stability Analyses of a VFT Park Using a Sequential Continuation Scheme and the Limit Cycle Method

Stability Analyses of a VFT Park Using a Sequential Continuation Scheme and the Limit Cycle Method

Research on Variable Frequency Transformer: A Smart Power Transmission Technology

On the periodic steady-state analysis of induction machines interfaced through VSCs using the Poincaré map method and a Voltage-Behind-Reactance model

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