Range estimation of Battery operated vehicles using MATLAB

1. 0
Vivek Bakul Maru
426512
Masters in Embedded Systems
07/08/2017

2. 1
Outline
 Introduction
 Initial Model and Simulation
 Assignment of Speed based on Slope
 Simulink Model completion
 Subtask Implementation – Modification of Support power
 Simulation Results

3. 2
 `Pedelec` : Pedalling + Electric motor
□ Not a moped
□ Limited Support
 Available in different use cases
□ Mountain Bikes
□ Road Bikes
□ Touring Bikes
 Precise estimation of Battery capacity is a must.
Introduction
Hybrid mountain bike, Image : www.trekbikes.com

4. 3
Initial model and Simulation
1. Average Speed =
Current speed+Previous Speed
2
2. Delta Speed = Current Speed − Previous Speed
3. Segment Time =
Segment Distance
Average Speed
4. Cumulative Time = Previous Cumulative time +
Current Segment Time
5. Acceleration =
Delta Speed
Segment Time

5. 4
Initial model and Simulation

6. 5
Assignment of Speed based on Slope
 𝑉𝑓 : Velocity along the segment
 𝑉𝑖 : Initial velocity (Here, Velocity while
entering the segment)
 a : Acceleration along the segment =
gsin 𝜃
 S : Distance covered in the segment
(Here, Length of the segment)
 tan 𝜃 =
𝐷𝐸
𝐸𝐵
=
𝐴𝐶
𝐴𝐵
= Slope of the figure
 𝑉𝑓
2
= 2(gsin 𝜃)s + 𝑉𝑖
2
 𝑉𝑓 = 2(g sin 𝜃 )s + 𝑉𝑖
2

7. 6
Assignment of Speed based on Slope (Contd)

8. 7
Assignment of Speed based on Slope (Contd)

9. 8
Simulink model completion
Power calculations
Support power modification
Energy calculations

10. 9
Simulink model completion (Contd)
1. Power Calculation
𝑷 𝑷𝒆𝒅𝒆𝒍𝒆𝒄 𝒔𝒊
= 𝑷 𝑨𝒄𝒄𝒆𝒍𝒆𝒓𝒂𝒕𝒊𝒐𝒏 𝒔𝒊
+ 𝑷 𝑹𝒐𝒍𝒍𝒊𝒏𝒈 𝑭𝒓𝒊𝒄𝒕𝒊𝒐𝒏 𝒔𝒊
+ 𝑷 𝒅𝒐𝒘𝒏𝒉𝒊𝒍𝒍 𝑺𝒍𝒐𝒑𝒆 𝒔𝒊
+ 𝑷 𝑨𝒊𝒓 𝑫𝒓𝒂𝒈 𝒔𝒊
• 𝑃 𝐴𝑐𝑐𝑒𝑙𝑒𝑟𝑎𝑡𝑖𝑜𝑛 (𝑠𝑖) = 𝑎𝑖 . ( 𝑚 𝑝𝑒𝑑𝑒𝑙𝑒𝑐 +
𝑚 𝑑𝑟𝑖𝑣𝑒𝑟 ) . 𝑉𝑖
• 𝑃 𝑅𝑜𝑙𝑙𝑖𝑛𝑔 𝐹𝑟𝑖𝑐𝑡𝑖𝑜𝑛 (𝑠𝑖) = 𝐶𝑟 . 𝐶𝑜𝑠(𝛼𝑖) . 𝑔. ( 𝑚 𝑝𝑒𝑑𝑒𝑙𝑒𝑐 + 𝑚 𝑑𝑟𝑖𝑣𝑒𝑟 ) . 𝑉𝑖
• 𝑃 𝐷𝑜𝑤𝑛ℎ𝑖𝑙𝑙 𝑆𝑙𝑜𝑝𝑒 (𝑠𝑖) = sin(𝛼𝑖) . 𝑔. ( 𝑚 𝑝𝑒𝑑𝑒𝑙𝑒𝑐 + 𝑚 𝑑𝑟𝑖𝑣𝑒𝑟 ) . 𝑉𝑖
• 𝑃 𝐴𝑖𝑟 𝐷𝑟𝑎𝑔 (𝑠𝑖) =
𝜌.𝐶 𝑤.𝐴 .𝑉𝑖
2
2
. 𝑉𝑖
2. Energy Calculation
• 𝐸 = 0
𝑡
𝑃 𝑠𝑖 . 𝑑𝑡 , where t= Segment time.

11. 10
Simulink model completion (Contd)

12. 11
Simulink model completion (Contd)

13. 12
Support power modification
 Above 25 km/h, motor power should
be shut off.
 Should not be done immediately but
gradually.
 Gradual interval : 20 km/h – 25 km/h
 𝑚 =
𝑦2− 𝑦1
𝑥2− 𝑥1
 Point 1 = (20,1)
 Point 2 = (25,0)
 𝑚 =
0−1
25−20
= -0.2
 Y = m * x + c
 0 = (-0.2) 25 + c
 c = 5
1
0
20 21 22 23 24 25SupportPower_old
Velocity
Y = m*x + c

14. 13
Support power modification (Contd.)
 Implemented as a sub-sysem in Simulink – `Support power modification`
 ‘Support power_new’ decreases linearly with velocity.

15. 14
Simulation Results
1 2

16. 15
Simulation Results

17. 16
Thank you !