This paper proposes a basic circuit of DC-DC boost
converter which is simulated with different load resistance
value so that the effect of load variations at the output can be
analyzed. The nonlinear components that lied between 0 and
1 of duty cycle and small-signal linear components will be
derived using state-space averaging technique, while
Kirchhoff’s law is employed to obtain the differential
equation of each state of the converter. The technique of
averaging is the best choice to solve the mathematical model
in this paper. By taking a linearly weighted average of the
separate equations for each switched configuration of the
converter, a single equation can be figured out to describe
the converter approximately over a number of switching
cycles. The most common averaging technique, state space
averaging [11], [2] is used to model the switching DC-DC
boost converter.