Exact Modeling of Time-Interval-Modulated Switched Networks

Circuit Modeling of Switched Linear Networks

“…Next, the new hybrid parameter switch model will be introduced using state space averaging transfer functions. In the following chapters, this model is further developed using exact small signal transfer functions proposed in [ 1 ] and later extended in [ 3 ].…”

“…As explained earlier, equations (2-4) and (2)(3)(4)(5) are difficult to analyze over the entire frequency range. The main reason for this is the discontinuity of the switching times, q(t) and q' (t).…”

“…The quadruples {A, B, C, E} are functions of time. Equations (2-4) and (2)(3)(4)(5) can be rewritten in the following form:…”

“…The price for the exactness is the complexity of the matrix manipulations. This modeling technique is automated in a power electronic circuit simulator, named PECS [ 3 ]. PECS can be used to perform analysis of higher order power electronics systems whose complicated behavior cannot be quickly analyzed by hand [ 2 ].…”

“…Modeling the PWM switch is less complicated than modeling the whole circuit; therefore, in this thesis, the nonlinear PWM switch is replaced by its linearized small signal two-port model. The expressions for the model parameters are obtained using the small-signal describing functions [ 1 ], [ 3 ]. This model is very accurate up to the switching frequency.…”