Application of MOEA/D to a Trade-Off Problem Between Maximum Power Point and Stability

This paper studies application of a multi-objective evolutionary algorithm to a trade-off problem in a switching power converter with photovoltaic input. The trade-off problem is considered in two objective functions of control parameters of the converter. The first function represents extraction of the maximum average power from the input. The second function represents stability of the periodic orbit of instantaneous input power. These are key problems to realize efficient low carbon and renewable energy supply. Using a piecewise linear modeling of the power converter, the two objective functions are described exactly. In order to analyze the two-objective problem, we use a simple multi-objective evolutionary algorithm with the Tchebycheff decomposition approach and the crossover operator BLX-alpha. Applying the algorithm, we have obtained the Pareto front corresponding to the trade-off between the maximum power point and stability. The result gives basic information to realize sustainable energy supply in the smart city era.