A General Discrete Model and Dynamic Characteristic Analysis of the N ‐Cell Cascaded H‐Bridge Inverter With an LC Filter

This paper addresses the modeling challenges in analyzing dynamic characteristics of cascaded H‐bridge inverters with LC filters, where second‐order nonhomogeneous differential equations cannot be fully solved using the virtual traversal method alone. By combining virtual traversal with discrete mapping modeling, a general‐purpose mathematical model is established for systems using quasiproportional resonance control in the voltage outer loop and proportional regulation in the current inner loop. The influences of key parameters—control parameters, cascade unit number N , DC voltage E , filter components L and C , and frequencies f s and f 1 —on bifurcation and chaotic behavior are systematically analyzed. An improved exponential delayed feedback control method is proposed, which expands the system's parametric stability domain by more than twofold and reduces the total harmonic distortion from 18.72% to 3.89%. The theoretical findings are validated through bifurcation diagrams, phase portraits, PSIM simulations, and experimental results.