Convex Optimization for Energy Management of Parallel Hybrid Electric Vehicles

This paper presents a comparison between two optimization methods for the energy management of a parallel hybrid electric powertrain: convex programming and Pontryagin's Minimum Principle (PIMP). The objective of this comparison is to validate the analytical solution by comparing the results with the ones obtained on the original model with Dynamic Programming (DP). Therefore, before its application, some necessary approximations and convexification were made on the original nonlinear and non-convex model. The validation of the simplified model was also carried out. In this paper, two cases are studied. In the first case, the supervisory control considers only the torque split between the Internal Combustion Engine (ICE) and the Electric Machine. In the second ease, a binary decision ICE On/Off is included in the optimization problem In order to solve the problem of the binary decision, which makes the problem non-convex, a, analytical solution based on PMP is theft proposed. The results show that the analytical solution is close to the optimal solution given by DP. (C) 2016, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.