Fast convergence to the steady-state operating point of a VFT park using the limit cycle method and a reduced order model

Contreras-Aguilar, L.; García, Norberto Fernández

doi:10.1109/pes.2009.5275393

Cited by 9 publications

(2 citation statements)

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“…3). The evolution of a perturbation in a neighborhood of the fixed point is determined by (7). Then, the local behavior of the map for is Let the eigenvalues of be and the eigenvectors , for .…”

Section: B Floquet Multipliersmentioning

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: B Floquet Multipliersmentioning

confidence: 99%