Energy management of electric vehicles with permanent magnet synchronous in-wheel motors using pontryagin's minimum principle

Due to a strong appealing for environment protection and energy saving, electric vehicles (EVs) receive more attention nowadays. Those equipped with permanent magnet synchronous in-wheel motors (PMSIMs) are regarded having an efficient structure that can transmit electrical energy to mechanical energy directly. To optimize vehicle performance, a new energy management strategy is proposed in this work to identify the optimal working points of the EVs analytically. The most important contribution of this work is to provide an analytical method for determining the optimal working points of the EV, which is of interest to both EV designers and users. With the proposed modeling, the coupling effects between PMSIMs performance and EV working status are analyzed using Pontryagin's Minimum Principle. To solve the mathematically hard-to-solve Hamiltonian, a numerical scanning approach is also proposed to determine the optimal working points of the EV. Simulation results are demonstrated to verify that the analytical optimal working point achieved by Pontryagin's Minimum Principle has the least energy consumption rate, compared to other cases, with the model of DC motors or non-optimal working points.

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