# Optimal Control of Phev: Problem Formulation

Pages: 17 (4915 words) Published: January 6, 2011
Comprehensive Formulation for the Optimal Control Of Plug-In Hybrid Electric Vehicles Avinash Gali
December 22, 2010

Cheol W. Lee, Ph.D.
Associate Professor Industrial and Manufacturing Systems Engineering University of Michigan – Dearborn

Abstract: The objective of this study is develop a comprehensive formulation for the optimal control of Plug-In Hybrid Electric Vehicles (PHEV) considering various factors such as battery life, fuel economy, overall energy usage and emissions. Implications of various objectives, constraints, and time horizon of existing approaches will be reviewed after literature survey. An optimization problem will be formulated through integration of reviewed approaches.

  Chapter 1: Introduction Chapter 2: Literature Survey            Optimal Control for Plug-in Hybrid Electric Vehicle Applications Optimal Energy Management for a Plug-in Hybrid Electric Vehicle: Real-time controller An Optimal Control-Based Algorithm for Hybrid Electric Vehicle using Preview Route Information Model Predictive Control of a Power-split Hybrid Electric Vehicle with Combined Battery and Ultra-capacitor Energy Storage A Stochastic Model Predictive Control Approach for Series Hybrid Electric Vehicle Power Management Charge Trajectory Optimization of Plug-in Hybrid Electric Vehicles for Energy Cost Reduction and Battery Health Enhancement Ultra-capacitor Assisted Powertrains: Modeling, Control, Sizing, And The Impact On Fuel Economy Plug-in Hybrid Electric Vehicle Energy Management System Using Particle Swarm Optimization Impact of Battery Sizing on Stochastic Optimal Power Management in Plug-in Hybrid Electric Vehicles Optimization-based energy management of series hybrid vehicles considering transient behavior Chapter 3: Formulation of Optimum Control Problem      Model of PHEV Powertrain Problem Formulation Discussions

Chapter 4: Conclusion References

2

Chapter 1: Introduction
In the recent years, the crude oil prices have increased steadily and the environment has deteriorated along with its wide usage. Large percentage of this crude oil has been used in automobiles as Gasoline or Diesel. So by replacing the conventional vehicles by Electric Vehicles (EV), the crude oil consumption can be decreased to a very large extent Due to its potential of producing highly fuel efficient and low emissions vehicles, many researchers and manufacturers have carried out extensive research in this field and kept on improving them. Plug-in Hybrid Electric vehicle (PHEV) is in close resemblance to Hybrid Electric vehicle (HEV) and hence it has all the advantages of an HEV. But in addition, it has a large battery pack compared to HEV. This large battery pack can be charged either by an onboard engine, regenerative braking of motor or external electric supply. The battery pack is charged to its maximum by the external electric supply and then used to drive the vehicle so lesser fuel is used by PHEVs compared to HEVs. All the studies have formulated an optimization problem with the main objective of minimizing fuel consumption. Some studies have adopted CO2 emission[1], battery SOC[1], [2], [4], [5], [6], [9], [10], engine on/off frequency [2], [10], geographical information system [3], capacitor in ESS [4], [7], vehicle dynamics [2], [4], [8], gear position [3] and power split between battery and capacitor [4]. The literature has examined PHEV problem formulation [1], [2], [6], [8], [9] from a number of different perspectives. In this paper a simplified mathematical model of plug-in hybrid electric vehicle powertrain is established. The formulation decides engine’s working points such that objective function is minimized which considers equivalent fuel consumption as its main concern along with engine on/off frequency and Battery State of Charge (SOC) as penalty costs. Initially, battery is fully charged from grid overnight. Then the vehicle is driven in allelectric-range (AER)....

Please join StudyMode to read the full document