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Order reduction of the dynamic model of a linear weakly periodic system-part I: general methodology

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3 Author(s)
A. Ramirez ; Dept. of Electr. & Comput. Eng., Univ. of Toronto, Ont., Canada ; A. Semlyen ; R. Iravani

A methodology is presented for the order reduction of the dynamic model of a linear weakly periodic system obtained by linearization about the nonsinusoidal periodic steady state. It consists of two stages. First, the time-invariant part of the original full-order system is approximated by a reduced system by using singular value decomposition techniques. Then the time-varying part of the reduced system is calculated by using a Gauss-Seidel technique. The issues of sparsity, convergence, and accuracy are analyzed. The example used for illustration serves to demonstrate the efficiency of the new method.

Published in:

IEEE Transactions on Power Systems  (Volume:19 ,  Issue: 2 )