Effect of Wavelet Selection on Periodic Steady-State Analysis

• Main Authors: Kris Fedick, Carlos Christoffersen
• Format: Article
• Language: English
• Published: IEEE 2020-01-01
• Series: IEEE Access
• Subjects: Adaptive Jacobian thresholding; circuit simulation; Newton-Raphson method; steady-state analysis; wavelets
• Online Access: https://ieeexplore.ieee.org/document/9049098/

This paper presents a study of the effect wavelet selection has on the density of the Jacobian matrix and nodal waveform coefficients of wavelet based periodic steady-state analysis of electrical circuits. For the presented case studies, it is shown that a simulation in the time domain produces a sparser Jacobian matrix than a simulation in the wavelet domain if no frequency domain elements are present. When frequency domain elements are present, some wavelets may produce marginally lower densities than the time domain with the advantage of a sparser representation of the circuit waveforms. Additionally, a new method for automatically selecting the threshold used when removing low amplitude elements in the Jacobian matrix at each iteration is introduced and tested.