In this thesis, we consider dimensionality reduction of parameters in a piecewise linear model of boost converter with PV input. The circuit is subject to a bi-objective optimization problem where the first and second objectives evaluate efficiency of input power and stability of periodic orbits, respectively. A trade off exists between the two objectives and is represented by a Pareto front. An approximation of the Pareto front is a criterion for the dimensionality reduction. Performing precise numerical experiment, a simple dimensionality reduction from two-dimensional parameter space into a one-dimensional parameter subspace is achieved.