This book presents a generalized formulation for the computer-aided analysis of induction motor driving a submersible pump. In general Electric Submersible Pump incorporates an induction motor and centrifugal pump. The pump is powered by the photovoltaic modules. Since the insolation level of the sun is not constant at all time, it is necessary to predict the pump's performance. To do so, mathematical modeling and simulation of the electric submersible pump is proposed here. The dynamic model of the induction motor consists of an electrical Sub-model to implement the three-phase to two-axis (3/2) d-q transformation of stator voltage and current calculation, a torque sub-model to calculate the developed electromagnetic torque, and a mechanical sub-model to yield the rotor speed. The submersible pump is modeled with the inputs as shaft speed, torque and head. The output variable is chosen to be discharge. With these system modules the electrical and mechanical condition of the pump under different insolation is simulated with Matlab/Simulink model.