22.7 A series resonant dc-dc converter operates with a dc input voltage of $V_g$ = 550 V. The
converter supplies 30 kV to a load. The dc load power varies over the range 5 kW-25 kW.
It is desired to operate the power transistors with zero-voltage switching. The maximum
feasible switching frequency is 50 kHz. An isolation transformer having a 1: $n$ turns ratio
is connected in series with the tank network. The peak tank capacitor voltage should be
no greater than 2000 V, referred to the primary.
(a) Derive expressions for the peak tank capacitor voltage and peak tank inductor cur-
rent.
(b) Select values for the tank inductance, tank capacitance, and turns ratio, such that the
given specifications are met. Attempt to minimize the peak tank inductor current,
while maximizing the worst-case minimum switching frequency.