Based on the physical mechanism of photovoltaic array, combined with the equivalent circuit of photovoltaic cells, the mathematical model is built. In MATLAB/Simulink, different simulation models are developed for the independent photovoltaic system which can be imitated in the situations of a constant condition, light intensity mutation and temperature mutation. PSO algorithm is improved to Geese-HPSO algorithm. The independent photovoltaic system based on photovoltaic array maximum power point tracking (MPPT) control is simulated and the simulation results are compared with the disturbance observation method. The quickness and accuracy of the improved Geese-HPSO algorithm to track the maximum power point are testified.