Abstract

Efficient energy usage of electric vehicles (EVs) is an important concern, especially in relation to the use of battery energy. This paper presents a strategy to make the use of battery energy more economical by employing a new modeling approach. One of the existing EV models, called the motor-vehicle model, considers the motor and the longitudinal vehicle dynamics. In this study, the motor-vehicle model is further simplified by ignoring the drag force, which will be referred to as the simple model. In addition, we propose a new approach of EV modeling by including the battery dynamics into a motor-vehicle model and taking into account the drag force. This model is named the Integrated Battery-Electric Vehicle (IBEV) model. In order to demonstrate the usefulness of the proposed model, controllers are designed using linear quadratic integral (LQI) control. Each controller is designed for several test cases based on a linearized integrated model, after which specific test cases are carried out on a nonlinear IBEV model. From these models, the energy consumption is analyzed based on several performance indices under a number of combinations of settings, i.e. battery type (lithium-ion or lead-acid battery) and shaft model (rigid or flexible shaft). Further, an LQI controller with a Kalman filter is designed and its performance is compared to LQI controllers with 4 th and 5 th order Luenberger observers. The simulation results shows that the use of IBEV model reduces energy consumption compared to the use of simple model in controller design, and that the LQI controller with Kalman filter can reduce the noise effect and is more economical than the controllers with other observers.

Highlights

  • Electric vehicles (EVs) have obvious advantages with regard to emissions and human health

  • The Integrated Battery-Electric Vehicle (IBEV) models are obtained by incorporating the battery model in Equation (1) for the lithium-ion battery and in Equation (2) for the lead-acid battery together with its corresponding dynamical equations as given in the Appendix into the simple model described in the previous section

  • The designed controllers are tested on a nonlinear IBEV model

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Summary

INTRODUCTION

Electric vehicles (EVs) have obvious advantages with regard to emissions and human health. Reference [2] presents a model of the longitudinal dynamics that describes the one-dimensional motion of a point mass, which incorporates the traction force as well as the driving resistance forces It includes an energy-efficient cruise controller and the energy consumption is modeled implicitly using a kinetic energy formulation. Reference [7] describes an EV model based on vehicle longitudinal dynamics, which includes the overall moment of inertia of the power train, the engine torque, and the accelerator pedal position. OVERVIEW OF EV SUBSYSTEMS A dynamical model of an EV system generally consists of battery, electric motor, gear train, and longitudinal vehicle dynamics, which together are called the powertrain system [8]. It is viewed from the side of shaft 1 (electric motor). The following motor speed equation is obtained [17]:

Jf 1 Tm bf Jf
SIMPLE MODEL
IBEV MODEL
BEV CONTROL APPLICATIONS
ANALYSIS OF ENERGY CONSUMPTION BASED ON THE MODEL
Findings
Rt 2 Ct 2
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