Droop of the Fractional Turn Ratio Pulse Transformer

In order to successfully design a solid-state modulator with the fractional turn ratio transformer for C band magnetron, the parameters of the fractional turn ratio pulse transformer must be chosen carefully. The rise time and fall time of the fractional turn ratio pulse transformer can be calculated the same as the traditional pulse transformer, but its droop cannot be calculated with traditional pulse transformer design methods. An equivalent circuit was derived to analyze the droop of the fractional turn ratio pulse transformer; the circuit equation has been solved analytically in the article. The results show that the droop equals the reduced pulse width T (T = t/CR_e ) in the first order approach, where t is the output pulse width, C is the store energy capacitor and R_e is the equivalent load. In the second order approach, it is related with the magnetizing inductance of the fractional turn ratio pulse transformer.