charging current through l 1 actually ceases to flow the total delay u03b4 is equal to u03b4 1 u03b4 2 where u03b4 1 is the delay between the assertion of trigger pulse v t1 and the closing of switch s 3 and u03b4 2 is the delay between the closing of switch s 3 and the opening of switch s 1 it can been shown that a good prediction for v 2 t is given by v 39 sub 2 t k sub 1 v sub 2 t k sub 2 dv sub 2 t dt k sub 3 v sub 1 0 k sub 4 v sub 2 0 3 k 3 c 1 1 cos u03c9 u03b4 1 c 1 c 2 k 4 c 2 1 cos u03c9 u03b4 1 c 1 c 2 where u03b1 is the approximate magnitude of the charging current during the time interval from t u03b4 to t u03b4 therefore the command to issue the trigger pulse v t3 for switch s 3 is issued at the time t t at which v 2 t equals the desired ies voltage it can be appreciated that expressions having greater or fewer terms than equations 2 and 3 can be derived which may provide varying degrees of accuracy for example we have published an article describing the present invention with a three term solution see 34 precision voltage regulation on the 5 khz 3 125 mw eta ii pulsed power system 34 by j a watson a n payne s e sampayan and c w ollis digest.