Simple time domain analysis of natural balancing in flying capacitor stacked multiceli converters

The paper presents simple closed-form analytical solutions for average natural voltage balancing dynamics in flying capacitor stacked multicell converters. Unlike previously reported frequency domain solutions, this one is based on simple time domain averaging methodology. The suggested solution provides a comprehensive insight into natural balancing time constant, oscillation frequency, and overall balancing dynamics dependences on flying capacitances, converter load parameters, carrier frequency, and modulation index over the entire voltage modulation dynamic range. The power of time domain averaging methodology is demonstrated for a two stack converter in two-and three-cell versions.