The current control strategy which combines proportional controller with repetitive controller for static synchronous compensator（STATCOM）is able to realize the compensation of reactive power and improve the tracking accuracy of harmonic. However

the fundamental delay caused by the repetitive controller makes the output lags a power cycle and grid currents distortion in the dynamic process. This paper firstly studies the basic theory of compound repetitive controller with control object of LCL filter

and presents the method of designing regulator in detail. On basis of this

in order to improve the dynamic performance of system

an improved repetitive control strategy is designed by using the characteristic of repetitive control which adjusts with power cycle as a time unit. The input of repetitive controller is automatic modulated according to the given current presently and one base cycle before. It can effectively eliminate the current distortion and improve the dynamic performance. Finally

the simulation results verify the effectiveness of the control strategy.