Modal dynamic equivalent for electric power systems. II. Stability simulation tests

Modal dynamic equivalent for electric power systems. II. Stability simulation tests

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IEEE Transactions on Power Systems, Vol. 3, No. 4, November 1988 MODAL DYMLMIC EQUIVAJXNT FOR ELECTRIC PClwER SYSI'EMS Part 11: Stability Simulation Tests Sbastiso E.M. de Oliveira, Senior M!r, IEEX Centro de Pesquisas de Energia Eletrica - CEPEL Caixa Postal 2754 Rio de Janeiro, RJ, 21945, Brazil ABSlRACT Supported by the theory described in Part I, we present herein the results of stability simulation tests in order to show the perforrmnce of a second order non-linear dynamic equivalent derived with assistance of modal analysis. Numerical results associated with determination of modal generators related to the external area dynamic equivalent of a relatively swill system are also featured. Stability shlation curves shown relate to test runs for the referred system and for a given configuration of the Brazilian SoIPIH-mEAsT Interconnected Power System. Relations applicable to balance of power injected at external area being equivalenced through the interconnection buses are also discussed in Part 11. 1.0 INTRO~CrIoN The methodology used to derive the dynamic equivalent was shown in Part I and consists, basically, in defining for each retained mode of oscillation, parameters a non-linear electranechanical structure, which was called 'modal generator". "ne parameters of each mcdal generator were chosen such as to duplicate the external area dynamic hhavior under small disturbmces in regards to the response of a given oscillation mode, but additionally equivalent ccmprised by the modal generators is also expected to retain the non-linear character external area power-angle oscillations under large disturbances. In regards to the construction of a low order representation of the external area dynamics, taking into consideration the configuration and operation spretries,which may likely exist within such area and also that many of the non-linear oscillation modes are restricted to a given region and/or have neglegible amplitudes at the interconnection lues, a substantial order reduction may usually be obtained. In fact, only a few modal generators are sufficient, even for large external areas, for providing an accurate duplication of the interconnected system dynamic behavior for disturbances taking place externally to them. A trend for achieving larger order reductions also occurs with the reduction of the n-r of interconnection buses between the power system's external and internal 88 WM 160-4 by the IEEE Power System Engineering Committee of the IEEE Power Engineering Society for presentatton at the IEEEfPES 1988 Winter Meeting, New York, New York, January 31 - February 5, 1988. Manuscript submitted August 31, 1987; made available for printing December 17, 1987. A paper recommended and approved 1731 Alexandre G. Massaud Centrais Eletricas Brasileiras - ELE'IROBR&S Caixa Postal 1639 Rio de Janeiro, RI, 20080, Brazil areas. In this Part 11, we shaw scme numerical results related to the mode rejection and to the modal generator's definition for the external area of a small 36-bus test system. In addition, in order to
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Modal dynamic equivalent for electric power systems. II. Stability simulation tests

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