Solving Time-dependent reliability-based design optimization by adaptive differential evolution algorithm and time-dependent polynomial chaos expansions (ADE-T-PCE)

It remains a great many of challenge to explore time-dependent reliability-based design and optimization problems, owing to the high computational cost dependent reliability assessment and analysis, the difficulties to life-cycle reliability modelling. To address these issues, ADE-T-PCE, a methodology incorporating adaptive differential evolution algorithm and an enhanced instantaneous time-dependent polynomial chaos expansion is proposed. The polynomial chaos expression (PCE) method was improved based on time-domain extension and principal component selection partial least squares, the life-cycle reliability model is Consequently, dynamic niche Pareto optimal solution selection strategy, particle variations and optimal solution screening strategy, number and strategy of variation for the differential evolution algorithm were proposed to meet demands for multi-object time-dependent reliability design optimization. The effectiveness proposed method in this study was verified through an electromagnetic relay in hybrid vehicle.