Motivation & Objective

1. Smart Grid and Electric VehiclesInstructor: Nicholas F. MaxemchukMembers: YingjieZhouChen WangXiangyingQian

2. Motivation • Objective Find out proper fairness schemes/metrics to meet the customers’ needs to a great extent. Customer : various energy requirement & desired departure time Available Energy : limited for some time Fairly distribute energy? Motivation & Objective

3. Use Switch to control power supply (5 min interval) • Information : Energy requirement, desired departure time, battery level, energy available • Cars come to charge in a queue with Poisson dist.. • Each 5 min can only charge limited cars. • Different fairness schemes : Decide who will be charged, update charging queue for every 5 min. • When energy requirement is satisfied, remove the car from the queue. Model

4. Round Robin Charged Not Charged New Arrivals Beginning of the queue Beginning of the queue Baseline System

5. Min-Max Energy Requirement (MMER) • Only need the info. of Energy Requirement 5 units 10 units 8 units Beginning of the queue Fairness Scheme 1

6. Min-Max Delay Time (MMDT) • New metric: N (spare time)= (desired departure time-current time)/5 -Units of energy required • First charge those cars with smallest N Units of energy required Spare time-N Fairness Scheme 2 Desired departure time Current time

7. Simulation Environment

8. Simulation Environment

9. 3 Metrics of evaluation: • Fraction of delayed vehicles:= • Average delay for delayed vehicles: = • Average delay for all vehicles: = Simulation Environment

10. Run each fairness scheme for successive (n=10) days. • Take the measurements from the day to ensure stable initializations. • Take the measurements till day to ensure the departure of all cars by the end of day. • For comparison, FCFS, FDFS Measurement

11. MMER fairness scheme does not work well in terms of the metrics we applied because it takes no advantage of the information of departure time. It performs even worse than the baseline Round Robin. • MMDT fairness scheme generally achieves the best performance. • To ensure 95% cars departing without delay, Round Robin: R > 1.8 MMDT: R < 1.1 Contribution

12. MMER shows the worst performance in comparison to other charging schemes. Result - 1

13. MMER shows the worst performance in comparison to other charging schemes. zoom out Result - 1

14. MMER shows the worst performance in comparison to other charging schemes. zoom out Result - 1

15. MMER shows the worst performance in comparison to other charging schemes. Result - 1

16. Compare Round Robin with two schemes which take the information of departure time into account. • It turns out that using the additional information can improve the performance. Result - 2

17. Compare Round Robin with two schemes which take the information of departure time into account. • It turns out that using the additional information can improve the performance. Result - 2

18. Compare Round Robin with two schemes which take the information of departure time into account. • It turns out that using the additional information can improve the performance. Result - 2

19. In comparison to FDFS, MMDT fairness scheme achieves better performance when the available power is a little bit more than the required energy. Result - 3

20. In comparison to FDFS, MMDT fairness scheme achieves better performance when the available power is a little bit more than the required energy. zoom out Result - 3

21. In comparison to FDFS, MMDT fairness scheme achieves better performance when the available power is a little bit more than the required energy. Result - 3

22. FDFS: Example

23. MMDT fairness scheme achieves the best performance when the available power is a little bit more than the required energy. Result - 3

24. Results from Uniform Distribution

25. 1. Lie about Time (2 methods) • a. punish with extra time b. punished by fine • 2. Lie about Distance (2 methods) • a. punish with extra time (convert distance to time) 1 mile = 10 min • b. punished by fine Discussion of Lies

26. Contract

27. Thank you!