Collective target tracking mean field control for Markovian jump-driven models of electric water heating loads

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 19, Issue , 2014, Pages 1867-1872

  Kizilkale, Arman C ^a   Malhame, Roland P ^a  

^a GERAD   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATION; COST FUNCTIONS; ELECTRIC FIELD EFFECTS; ELECTRIC LOAD MANAGEMENT; GAME THEORY; HEATING; MARKOV PROCESSES; RENEWABLE ENERGY RESOURCES; TARGET TRACKING; WATER HEATERS;

CONTROL ARCHITECTURE; ELECTRIC WATER HEATERS; INDIVIDUAL CONTROL; LOAD CONTROL MECHANISM; LOCAL CONSTRAINTS; PEAK LOAD REDUCTIONS; QUADRATIC COST FUNCTIONS; RENEWABLE ENERGY PENETRATIONS;

ELECTRIC POWER SYSTEM CONTROL;

EID: 84929782978     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20140824-6-za-1003.00630     Document Type: Conference Paper

References (15)

1. Callaway, D.S. (2009). Tapping the energy storage potential in electric loads to deliver load following and regulation, with application to wind energy. Energy Conversion and Management, 50, 1389-1400.
2. Huang, M., Caines, P.E., and Malhamé, R.P. (2003). Individual and mass behaviour in large population stochastic wireless power control problems: centralized and Nash equilibrium solutions. In 42nd IEEE Conference on Decision and Control, 98-103. Maui, Hawaii.
3. Huang, M., Caines, P.E., and Malhamé, R.P. (2007). Large population cost-coupled LQG problems with nonuniform agents: individual-mass behaviour and decentralized e - Nash equilibria. IEEE Transactions on Automatic Control, 52(9), 1560-1571.
4. Huang, M., Malhamé, R.P., and Caines, P.E. (2006). Large population stochastic dynamic games: Closed loop McKean-Vlasov systems and the Nash certainty equivalence principle. Special issue in honour of the 65th birthday of Tyrone Duncan, Communications in Information and Systems, 6, 221-252.
5. Kizilkale, A.C. and Malhamé, R.P. (2013). Mean field based control of power system dispersed energy storage devices for peak load relief. In 52nd IEEE Conference on Decision and Control, 4971-4976. Invited paper.
6. Kizilkale, A.C. and Malhamé, R.P. (2014). Collective target tracking mean field control: Markovian jump-driven models of electric water heating loads. Technical report, Groupe d'Études et de Recherche en Analyse des Décisions (GERAD), Canada.
7. Klein, S. (1976). A Design Procedure for Solar Heating Systems. Ph.D. thesis, Department of Chemical Engineering, University of Wisconsin-Madison.
8. Lasry, J.M. and Lions, P.L. (2006). Jeux à champ moyen. i - le cas stationnaire. C R. Acad. Sci. Paris, Ser. I, 343, 619-625.
9. Laurent, J.C. and Malhamé, R.P. (1994). A physically-based computer model of aggregate electric water heating loads. IEEE Transactions on Power Systems, 9(3), 1209-1217.
10. Ma, Z., Callaway, D.S., and Hiskens, I. (2010). Decentralized charging control for large populations of plug-in electric vehicles. In 49th IEEE Conference on Decision and Control, 206-212.
11. Malhamé, R.P. (1990). A jump-driven markovian electric load model. Advances in App. Prob., 22, 564-586.
12. Malhamé, R.P. and Chong, C.Y. (1985). Electric load model synthesis by diffusion approximation of a high-order hybrid-state stochastic system. IEEE Transactions on Automatic Control, 30(9), 854-860.
13. Mathieu, J.L., Callaway, D.S., and Kiliccote, S. (2010). Examining uncertainty in demand response baseline models and variability in automated response to dynamic pricing. In 49th IEEE Conference on Decision and Control, 4332-4339.
14. Tahersima, F., Stoustrup, J., Afkhami, S., and Rasmussen, H. (2011). Contribution of domestic heating systems to smart grid control. In 50th IEEE Conference on Decision and Control, 3677-3681.
15. Wang, B. and Zhang, J.F. (2012). Mean field games for large-population multiagent systems with markov jump parameters. SIAM J. on Control and Optimization, 50(4), 2308-2334.