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Vector Fitting-Based Calculation of Frequency-Dependent Network Equivalents by Frequency Partitioning and Model-Order Reduction

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1 Author(s)
Ramirez, A. ; CINVESTAV-Guadalajara, Guadalajara

This paper presents a methodology to identify a frequency-dependent network equivalent from a highly resonant frequency response and in a broad range of frequencies. Primarily, the identification process consists on dividing the complete frequency range into a number of subranges either uniformly spaced or by containing an equal number of resonance peaks. Vector fitting (VF) is then applied to each subrange, yielding an accurate local approximation. A refinement of the local set of partial fractions is made through model-order reduction to remove spurious (redundant) poles. The final equivalent comprises a reduced number of poles, keeping the computational load lower than when applying VF to the whole range of frequencies while giving a similar rms error. An illustrative example involving a transmission system is presented for validation of the procedures above.

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Power Delivery, IEEE Transactions on  (Volume:24 ,  Issue: 1 )