Abstract: In order to inverse thunder cloud equivalent electric charge using the ground electric field data,this paper presented a thunderstorm cloud equivalent charge hybrid inversion algorithm．The algorithm combines the particle swarm method and Newton method through the combined mosaic hybrid structure and controlls the hybrid timing by constructing the mixed probability function．Giving the parameters thunder cloud charge structure,the thunder cloud equivalent charge is inversed based on the forward modeling results．The results show that the particle Newton’s method can effectively avoid the selection of initial value problems by strong global search capability,get better inversion results,and calculation time of a simple serial hybrid structure is short but the inversion effect is not good.Setting mosaic hybrid structure can better reflect the advantage of two algorithms,and building mixed probability density function can improve the computation efficiency.

Key words: Particle swarm,Newton’s method,Inversion of thunder cloud equivalent charge,Hybrid structure,Mixed probability density