Biobjective Optimization Problems in a Simplified Model of Boost Converter with Photovoltaic Input

This paper studies biobjective optimization problems in a simplified model of boost converter with photovoltaic input. The two objectives evaluate stability of circuit operation and average input power. The circuit dynamics is described by a piecewise linear differential equation and the two objectives are calculated theoretically. Applying the brute force attack in a parameter subspace, we obtain Pareto front exactly: it guarantees existence of a trade-off between the two objectives. Introducing modified hypervolume indicator, the Pareto front is evaluated. The results provide important information to realize desired circuit operation.