Abstract 

It is often the case that the frequency response data of a system or a network is available and one wants to identify a linear equivalent from the frequency response data for time-domain simulations and other purposes. To this end, a variety of methods have been proposed, and the vector fitting (VF) method and the frequency-partitioning fitting (FpF) method are often used for electromagnetic transient (EMT) simulations of power systems. The main applications are frequency-dependent transmission-line modeling and frequency-dependent network modeling, but they should be applicable to various engineering and scientific problems where a pole-residue representation of a linear multi-input multi-output (MIMO) system has to be identified from its frequency response data.

Instructions: 

In this zip file, MATLAB code of the FpF method is provided. Ref. [1] below describes the code in detail and can be used as an instruction manual. The code is fully functional and can be used as a functioning software package of the FpF method. As an example, the file "test_fit.m" performs the fitting of the verification case shown in Section III of ref. [1]. For this case, the frequency-response data of the three-by-three admittance matrix of a 500-kV transmission network is provided as "test_data.mat" (for details, see ref. [2]). The mathematical descriptions of the FpF method are given in refs. [2]-[4], and its applications to the frequency-dependent modeling of overhead and underground-cable transmission lines are shown in refs. [5] and [6] respectively.

References:

[1] Taku Noda, "Implementation of the frequency-partitioning fitting method for linear equivalent identification from frequency response data," Proc. of 2016 IEEE Power & Energy Society General Meeting (PESGM), Boston, MA. USA, July 2016.

[2] Taku Noda, "Identification of a multiphase network equivalent for electromagnetic transient calculations using partitioned frequency response," IEEE Trans. on Power Delivery, vol. 20, no. 2, Apr. 2005.

[3] Taku Noda, "A binary frequency-region partitioning algorithm for the identification of a multiphase network equivalent for EMT studies," IEEE Trans. on Power Delivery, vol. 22, no. 2, Apr. 2007

[4] Juan A. Martinez-Velasco (Editor), "Power System Transients: Parameter Determination," CRC Press, Oct. 2009, ISBN-10: 1420065297, ISBN-13: 978-1420065299. (See Appendix A)

[5] Taku Noda, "Application of frequency-partitioning fitting to the phase-domain frequency-dependent modeling of overhead transmission lines," IEEE Trans. on Power Delivery, vol. 30, no. 1, Feb. 2015.

[6] Taku Noda, "Application of frequency-partitioning fitting to the phase-domain frequency-dependent modeling of underground cables," IEEE Trans. on Power Delivery, vol. 31, no. 4, Aug. 2016.

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Submitted by: Taku Noda

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