A new integrator is proposed, and its analyzing and simulating are compared with linear integrator, Clegg抯 integrator and Wangyong抯 integrator in the paper, harmonic data of each integrator are calculated by using symbolic tool functions in Matlab.Its module is built based on Simuluink in order to simulating conveniently. After this, we found that three non-linear integrator has lesser phase lag than linear integrator, but only the new integrator can eliminate a steady state抯 error while Clegg抯 and Wangyong抯 integrator can not, which only is used in controller on particular plants.