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Existence of solutions for the network/load equations in power systems

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3 Author(s)
B. C. Lesieutre ; Lab. for Electromagn. & Electron. Syst., MIT, Cambridge, MA, USA ; P. W. Sauer ; M. A. Pai

Virtually all power-system analysis algorithms require the solution of a network/load model. During a numerical simulation of medium and long term dynamic events, this model is solved at every timestep. In all cases it is important that there exists a solution to the model. In this paper we study the quasistatic network/load models for use in steady-state and dynamic power-system analyses and present a set of sufficient conditions which ensures that the network/load model is solvable for voltages and currents

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IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications  (Volume:46 ,  Issue: 8 )