Averaged model for power converters with state jumps

Averaging techniques are widely used for the analysis and control design of switched electronic systems. Some topologies of power electronics converters, when represented by using ideal switches, are characterized by state discontinuities, also called state jumps, which may occur at the switching time instants. In this case, the classical averaged models, which are based on the modes representations with ordinary differential equations, are not effective. In this paper an averaged model for switched systems whose modes are described by differential algebraic equations is proposed. The averaged model is obtained by considering a suitable “jump mode” whose dynamic matrix depends on the modes projectors. The proposed model extends the classical averaged models and switched capacitor converters are considered for showing its effectiveness.