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Introduction Optimal design Conclusions 
Review of Optimal Design Strategies 
for Hybrid Electric Vehicles 
Emilia Silva¸s, Theo Hofman and Maarten Steinbuch1 
1Department of Mechanical Engineering 
Eindhoven University of Technology 
E-COSM, 23-25 October 2012, Rueil-Malmaison, France 
E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
Introduction Optimal design Conclusions 
Optimization problem 
Size 
Control 
Motorcycle 
Vehicle 
Truck 
Crane 
Ship 
Airplane 
Fuel 
Emission 
Performance 
Comfort, 
Handling 
Cost 
Topology 
Application Parameters 
Targets / 
Constraints 
(predicted) operation conditions 
Technology 
E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
Introduction Optimal design Conclusions 
Parametric and structural design optimization 
Example 1: Size optimization 
PHEV city bus 
A parallel and a series topology 
Battery size 
Convex optimization vs. DP 
Assumptions: gear and engine 
on/off state 
Error vs. no. of variable / 
computation time 
E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
Introduction Optimal design Conclusions 
Parametric and structural design optimization 
Example 1: Size optimization 
PHEV city bus 
A parallel and a series topology 
Battery size 
Convex optimization vs. DP 
Assumptions: gear and engine 
on/off state 
Error vs. no. of variable / 
computation time 
E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
Introduction Optimal design Conclusions 
Parametric and structural design optimization 
Example 2: Size and technology optimization 
Mid-sized to large family car (torque-assist) 
Use, initially, DP to find the optimal driving strategy 
Build a RB method - sizing of the CE, EM (8 driving cycles) 
Minimize the CO2 emissions 
Adjusted Gear Ratio 
CO2 emissions,   1% for the RB method 
E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
Introduction Optimal design Conclusions 
Parametric and structural design optimization 
Example 3: Size and topology optimization 
Submarine 
4 sea mission scenarios 
Multiobjective Genetic 
Algorithms 
Five objective functions 
Max. propeller efficiency 
Max. electric motor efficiency 
Min. electric motor size 
Min. total energy consumption 
Max. steam turbine efficiency 
8% improvement in energy 
consumption 
Electric 
Motor 
Electric 
Motor 
Electric 
Motor 
Gearbox 
Steam 
Turbine 
Electric 
Motor 
Gearbox 
(a) 
(b) 
(c) 
Source: http://www.guardian.co.uk 
E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
Introduction Optimal design Conclusions 
Parametric and structural design optimization 
Example 3: Size and topology optimization 
Submarine 
4 sea mission scenarios 
Multiobjective Genetic 
Algorithms 
Five objective functions 
Max. propeller efficiency 
Max. electric motor efficiency 
Min. electric motor size 
Min. total energy consumption 
Max. steam turbine efficiency 
8% improvement in energy 
consumption 
Electric 
Motor 
Electric 
Motor 
Electric 
Motor 
Gearbox 
Steam 
Turbine 
Electric 
Motor 
Gearbox 
(a) 
(b) 
(c) 
Source: http://www.guardian.co.uk 
E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
Introduction Optimal design Conclusions 
Parametric and structural design optimization 
Example 3: Results 
E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
Introduction Optimal design Conclusions 
Parametric and structural design optimization 
Example 4: Size optimization 
Mid-size Passenger Vehicle 
Optimize a parallel HEV for 
maximum fuel economy 
Composite driving cycle 
Compare for 4 algorithms 
Engine 
Motor/ 
Generator 
Transmission 
Electric Power 
Controller 
Battery 
Electrical connection 
Mechanical connection 
E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
Introduction Optimal design Conclusions 
Parametric and structural design optimization 
Example 4: Size optimization 
Mid-size Passenger Vehicle 
Optimize a parallel HEV for 
maximum fuel economy 
Composite driving cycle 
Compare for 4 algorithms 
HWFET (Highway Fuel 
Economy Test) 
FTP-75 (Federal Test Procedure) 
E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
Introduction Optimal design Conclusions 
Parametric and structural design optimization 
Example 4: Size optimization 
Mid-size Passenger Vehicle 
Optimize a parallel HEV for 
maximum fuel economy 
Composite driving cycle 
Compare for 4 algorithms 
Before 
Opt. DIRECT 
Simulated 
Annealing 
Genetic 
Algorithms 
Particle Swarm 
Optimization Constraints: 
Fuel Economy 
[L/100km] 6,7 5,93 5,83 6,26 6,34 
Vehicle Weight [kg] 1683 1635 1656 1694 1690 
Power rating of the 
EM [kW] 65,9 20,2 21,9 24,2 14,8 10 kW - 80 kW 
Power rating of the 
ICE [kW] 86 83,1 82,4 95,5 87,1 
40 kW - 100 
kW 
0-60 mph [sec] 18,1 15,5 10,8 11,9 11,1 ≤ 18.1 s 
40-60 mph [sec] 7 6,8 5 4,4 4,9 ≤ 7 s 
0-85 mph [sec] 35,1 30,6 20,7 21,2 20 ≤ 35.1 s 
Bat. No of cells 240 245 311 300 238 150-350 
120% 
100% 
80% 
60% 
40% 
20% 
0% 
Fuel Economy Vehicle Weight Power rating of 
the EM 
Power rating of 
the ICE 
0-60 mph 40-60 mph 0-85 mph Bat. No of cells 
Percent Change 
Before Opt. DIRECT Simulated Annealing (SA) Genetic Algorithms (GA) Particle Swarm Optimization (PSO) 
E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
Introduction Optimal design Conclusions 
Parametric and structural design optimization 
Challenges and trends in hybrid power-trains design 
Challenges 
Large design space 
High computation time 
Discrete/Continuous variables 
Non-convexity character of the problem 
Trends 
Multi-objective optimization 
More automated approaches in searching for the global 
optimum 
E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
Introduction Optimal design Conclusions 
Parametric and structural design optimization 
Challenges and trends in hybrid power-trains design 
Classification of the hybrid power train optimization algorithms 
mostly used for optimal design 
Global Deterministic 
Dynamic 
Programing 
DIRECT 
Genetic 
algorithms 
Derivative free 
Multi-objective 
Genetic 
Algorithms 
Particle Swarm 
Optimization 
Simulated 
Aanealing 
Sequential 
Quadratic 
Programing 
Convex 
optimization 
(subgradient 
) 
Convex 
optimization 
(gradient) 
E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
Introduction Optimal design Conclusions 
Conclusions 
Summary 
The optimum power train design is desired for fuel 
consumption minimization, emissions and dynamic 
performance. 
The complexity of the design space makes the design 
difficult. 
Future work 
Develop and analyze an optimization framework for 
commercial vehicles under given work conditions. 
E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
Introduction Optimal design Conclusions 
Conclusions 
Thank you! 
E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV

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ECOSM Conference, Review of Optimal Design Strategies for HEV

  • 1. Introduction Optimal design Conclusions Review of Optimal Design Strategies for Hybrid Electric Vehicles Emilia Silva¸s, Theo Hofman and Maarten Steinbuch1 1Department of Mechanical Engineering Eindhoven University of Technology E-COSM, 23-25 October 2012, Rueil-Malmaison, France E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
  • 2. Introduction Optimal design Conclusions Optimization problem Size Control Motorcycle Vehicle Truck Crane Ship Airplane Fuel Emission Performance Comfort, Handling Cost Topology Application Parameters Targets / Constraints (predicted) operation conditions Technology E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
  • 3. Introduction Optimal design Conclusions Parametric and structural design optimization Example 1: Size optimization PHEV city bus A parallel and a series topology Battery size Convex optimization vs. DP Assumptions: gear and engine on/off state Error vs. no. of variable / computation time E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
  • 4. Introduction Optimal design Conclusions Parametric and structural design optimization Example 1: Size optimization PHEV city bus A parallel and a series topology Battery size Convex optimization vs. DP Assumptions: gear and engine on/off state Error vs. no. of variable / computation time E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
  • 5. Introduction Optimal design Conclusions Parametric and structural design optimization Example 2: Size and technology optimization Mid-sized to large family car (torque-assist) Use, initially, DP to find the optimal driving strategy Build a RB method - sizing of the CE, EM (8 driving cycles) Minimize the CO2 emissions Adjusted Gear Ratio CO2 emissions, 1% for the RB method E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
  • 6. Introduction Optimal design Conclusions Parametric and structural design optimization Example 3: Size and topology optimization Submarine 4 sea mission scenarios Multiobjective Genetic Algorithms Five objective functions Max. propeller efficiency Max. electric motor efficiency Min. electric motor size Min. total energy consumption Max. steam turbine efficiency 8% improvement in energy consumption Electric Motor Electric Motor Electric Motor Gearbox Steam Turbine Electric Motor Gearbox (a) (b) (c) Source: http://www.guardian.co.uk E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
  • 7. Introduction Optimal design Conclusions Parametric and structural design optimization Example 3: Size and topology optimization Submarine 4 sea mission scenarios Multiobjective Genetic Algorithms Five objective functions Max. propeller efficiency Max. electric motor efficiency Min. electric motor size Min. total energy consumption Max. steam turbine efficiency 8% improvement in energy consumption Electric Motor Electric Motor Electric Motor Gearbox Steam Turbine Electric Motor Gearbox (a) (b) (c) Source: http://www.guardian.co.uk E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
  • 8. Introduction Optimal design Conclusions Parametric and structural design optimization Example 3: Results E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
  • 9. Introduction Optimal design Conclusions Parametric and structural design optimization Example 4: Size optimization Mid-size Passenger Vehicle Optimize a parallel HEV for maximum fuel economy Composite driving cycle Compare for 4 algorithms Engine Motor/ Generator Transmission Electric Power Controller Battery Electrical connection Mechanical connection E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
  • 10. Introduction Optimal design Conclusions Parametric and structural design optimization Example 4: Size optimization Mid-size Passenger Vehicle Optimize a parallel HEV for maximum fuel economy Composite driving cycle Compare for 4 algorithms HWFET (Highway Fuel Economy Test) FTP-75 (Federal Test Procedure) E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
  • 11. Introduction Optimal design Conclusions Parametric and structural design optimization Example 4: Size optimization Mid-size Passenger Vehicle Optimize a parallel HEV for maximum fuel economy Composite driving cycle Compare for 4 algorithms Before Opt. DIRECT Simulated Annealing Genetic Algorithms Particle Swarm Optimization Constraints: Fuel Economy [L/100km] 6,7 5,93 5,83 6,26 6,34 Vehicle Weight [kg] 1683 1635 1656 1694 1690 Power rating of the EM [kW] 65,9 20,2 21,9 24,2 14,8 10 kW - 80 kW Power rating of the ICE [kW] 86 83,1 82,4 95,5 87,1 40 kW - 100 kW 0-60 mph [sec] 18,1 15,5 10,8 11,9 11,1 ≤ 18.1 s 40-60 mph [sec] 7 6,8 5 4,4 4,9 ≤ 7 s 0-85 mph [sec] 35,1 30,6 20,7 21,2 20 ≤ 35.1 s Bat. No of cells 240 245 311 300 238 150-350 120% 100% 80% 60% 40% 20% 0% Fuel Economy Vehicle Weight Power rating of the EM Power rating of the ICE 0-60 mph 40-60 mph 0-85 mph Bat. No of cells Percent Change Before Opt. DIRECT Simulated Annealing (SA) Genetic Algorithms (GA) Particle Swarm Optimization (PSO) E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
  • 12. Introduction Optimal design Conclusions Parametric and structural design optimization Challenges and trends in hybrid power-trains design Challenges Large design space High computation time Discrete/Continuous variables Non-convexity character of the problem Trends Multi-objective optimization More automated approaches in searching for the global optimum E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
  • 13. Introduction Optimal design Conclusions Parametric and structural design optimization Challenges and trends in hybrid power-trains design Classification of the hybrid power train optimization algorithms mostly used for optimal design Global Deterministic Dynamic Programing DIRECT Genetic algorithms Derivative free Multi-objective Genetic Algorithms Particle Swarm Optimization Simulated Aanealing Sequential Quadratic Programing Convex optimization (subgradient ) Convex optimization (gradient) E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
  • 14. Introduction Optimal design Conclusions Conclusions Summary The optimum power train design is desired for fuel consumption minimization, emissions and dynamic performance. The complexity of the design space makes the design difficult. Future work Develop and analyze an optimization framework for commercial vehicles under given work conditions. E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV
  • 15. Introduction Optimal design Conclusions Conclusions Thank you! E. Silva¸s (e.silvas@tue.nl) Review of Optimal Design Strategies for HEV