RCLK-VJ network reduction with Hurwitz polynomial approximation

We propose a new linear network reduction algorithm based on a generalized Y-Δ transformation technique in s-domain. Resultant admittance is kept as a rational function of s with a dramatically reduced order. Yet it preserves low-order terms of exact admittance evaluated with traditional symbolic analysis. Stability of transfer functions derived from reduced-order admittance is guaranteed via a Hurwitz polynomial approximation. Such low-order transfer functions are used in pole analysis and time domain waveform evaluation in response to any input signal.