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This paper presents the design and simulation of a DC-DC boost converter which uses solar system as input source. In general, solar is one of renewable energy sources which is sustainable and free if compared to other alternative energy. The voltage of solar system can produce a maximum voltage up to 16V during daylight and it is compatible enough with DC-DC boost converter system to charge batteries at any time due to behavior of DC-DC boost converter. The operation principle of boost converter working in continuous conduction mode (CCM) has been introduced. The continuous part of the converter is modeled by differential equations and state space models, while the switching actions are recently more accurately modeled by state charts. Circuit model for open loop system may be conveniently implemented using the MATLAB's Simulink toolbox environment. Simulation was performed with different load resistors to study the effect of load variations thus the results obtained can be analyzed to ensure that the variations of load impacting on the stability of the converter. This paper attempts to model the continuous part of the converters using state space averaging technique so that it can be proceeded to design a controller to improve the converter's performance of less overshoot and faster settling time.