Convex Optimization for Energy Management of Parallel Hybrid Electric Vehicles

S Hadj-Said (1, 2) , Guillaume Colin (1) , A Ketfi-Cherif (2) , Yann Chamaillard (1)

1 F2ME
2 Technocentre Renault [Guyancourt]

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 (PMP). 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 case, 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 then proposed. The results show that the analytical solution is close to the optimal solution given by DP.

Mots clés: Energy Management Strategy; Hybrid Electric Vehicles (HEV); Convex optimization; Pontryagin's Maximum Principle (PMP); Engine On/Off

Domaines: Automatique / Robotique

S Hadj-Said, Guillaume Colin, A Ketfi-Cherif, Yann Chamaillard. Convex Optimization for Energy Management of Parallel Hybrid Electric Vehicles. 8th IFAC International Symposium on Advances in Automotive Control (AAC2016), Jun 2016, Kolmarden, Sweden. pp.278-283. ⟨hal-01338034⟩