Robust and optimal consumption policies for deadline-constrained deferrable loads

IEEE Transactions on Smart Grid

Volumn 5, Issue 4, 2014, Pages 1823-1834

  Roozbehani, Mardavij ^a   Materassi, Donatello ^a   Ohannessian, Mesrob I ^b   Dahleh, Munther A ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b Paris Sud Paris XI   (France)

Author keywords

Demand response; mathematical modeling; optimal control; partial information; price uncertainty; robustness

Indexed keywords

COMPUTER SIMULATION; ECONOMIC ANALYSIS; MATHEMATICAL MODELS; ROBUSTNESS (CONTROL SYSTEMS); STOCHASTIC SYSTEMS; UNCERTAINTY ANALYSIS;

DEMAND RESPONSE; OPTIMAL CONSUMPTION; OPTIMAL CONTROLS; PARTIAL INFORMATION; PERFORMANCE GUARANTEES; PRICE UNCERTAINTY; UPPER AND LOWER BOUNDS; WHOLESALE ELECTRICITY MARKETS;

COSTS;

EID: 84903174226     PISSN: 19493053     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSG.2014.2309956     Document Type: Article

References (27)

1. K. Afridi, A. M. Farid, J. M. Grochow, W. W. Hogan, H. D. Jacoby, J. L. Kirtley, H. G. Michaels, I. Perez-Arriaga, D. J. Perreault, N. L. Rose, and G. L. Wilson, The Future of the Electric Grid. Cambridge, MA, USA: MIT Press, 2011.
2. A. Papavasiliou and S. Oren, "Supplying renewable energy to deferrable loads: Algorithms and economic analysis," in Proc. IEEE Power Energy Soc. General Meeting, 2010, pp. 1-8.
3. K. Vanthournout, R. D'hulst, D. Geysen, and G. Jacobs, "A smart domestic hot water buffer," IEEE Trans. Smart Grid, vol. 3, no. 4, pp. 2121-2127, Dec. 2012.
4. D. Caves, K. Eakin, and A. Faruqui, "Mitigating price spikes in wholesale markets through market-based pricing in retail markets," Electricity J., vol. 13, no. 3, pp. 13-23, 2000.
5. D. Kirschen, "Demand-side view of electricity markets," IEEE Trans. Power Syst., vol. 18, no. 2, pp. 520-527, May 2003.
6. P. H. Zipkin, Foundations of Inventory Management. New York, NY, USA: McGraw-Hill, 2000.
7. M. Sobel and R. Zhang, "Inventory policies for systems with stochastic and deterministic demand," Operat. Res., vol. 49, no. 1, pp. 157-162, 2001. (Pubitemid 32486536)
8. K. C. Frank, R. Q. Zhang, and I. Duenyas, "Optimal policies for inventory systems with priority demand classes," Operat. Res., vol. 51, pp. 993-100, 2003.
9. P. Constantopoulos, F. Schweppe, and R. Larson, "Estia: A real-time consumer control scheme for space conditioning usage under spot electricity pricing," Comput. Operat. Res., vol. 18, no. 8, pp. 751-765, 1991.
10. J. Black, "Integrating demand into the US electric power system: Technical, economic, and regulatory frameworks for responsive load," Ph.D. dissertation, Mass. Inst. of Technol., Cambridge, MA, USA, 2005.
11. J. Kueck, B. Kirby, T. Laughner, and K. Morris, "Spinning reserve from responsive load," Tech. Rep. Oak Ridge National Lab. (ORNL), Oak Ridge, TN, USA, 2009.
12. D. Livengood and R. Larson, "The energy box: Locally automated optimal control of residential electricity usage," Service Sci., vol. 1, no. 1, pp. 1-16, 2009.
13. A. Mohsenian-Rad and A. Leon-Garcia, "Optimal residential load control with price prediction in real-time electricity pricing environments," IEEE Trans. Smart Grid, vol. 1, no. 2, pp. 120-133, Sep. 2010.
14. M. J. Neely, A. S. Tehrani, and A. G. Dimakis, "Efficient algorithms for renewable energy allocation to delay tolerant consumers," in Proc. 1st IEEE Int. Conf. Smart Grid Commun., 2010, pp. 549-554.
15. H. Zhang, X. Yu, and P. V. Braun, "Three-dimensional bicontinuous ultrafast-charge and-discharge bulk battery electrodes," Nature Nan-otechnol., vol. 6, no. 5, pp. 277-281, 2011.
16. W. Zhang, K. Kalsi, J. Fuller, M. Elizondo, and D. Chassin, "Aggregate model for heterogeneous thermostatically controlled loads with demand response," in Proc. IEEE Power Energy Soc. General Meet., 2012, pp. 1-8.
17. T. Kim and H. Poor, "Scheduling power consumption with price uncertainty," IEEE Trans. Smart Grid, vol. 2, no. 3, pp. 519-527, Sep. 2011.
18. Z. Chen, L. Wu, and Y. Fu, "Real-time price-based demand response management for residential appliances via stochastic optimization and robust optimization," IEEE Trans. Smart Grid, vol. 3, no. 4, pp. 1822-1831, Dec. 2012.
19. E. Altman, "Constrained Markov decision processes with total cost criteria: Lagrangian approach and dual linear program," Math. Meth. Operat. Res., vol. 48, no. 3, pp. 387-417, 1998. (Pubitemid 128508555)
20. P. Bertail, P. Doukhan, and P. Soulier, Dependence in Probability and Statistics. New York, NY, USA: Springer Science+ Business Media, 2006, vol. 187.
21. I. Herbst and L. Pitt, "Diffusion equation techniques in stochastic monotonicity and positive correlations," Probabil. Theory Rel. Fields, vol. 87, no. 3, pp. 275-312, 1991.
22. S. Lee, O. Linton, and Y.-J. Whang, "Testing for stochastic mono-tonicity," Econometrica, vol. 77, no. 2, pp. 585-602, 2009.
23. "The PJM independent system operator (PJM-ISO)," [Online]. Available: http://www.pjm.com/pub/account/lmpmonthly/index.html
24. R. Soeterboek, Predictive Control: A Unified Approach. Englwood Cliffs, NJ: Prentice-Hall, 1992.
25. B. Efron, The Jackknife, The Bootstrap and Other Resampling Plans. Philadelphia, PA, USA: SIAM, 1982, vol. 38.
26. I. Lampropoulos, N. Baghina, W. Kling, and P. Ribeiro, "A predictive control scheme for real-time demand response applications," IEEE Trans. Smart Grid, vol. 4, no. 4, pp. 2049-2060, Dec. 2013.
27. T. Tao, An Introduction to Measure Theory. Providence, RI, USA: AMS Bookstore, 2011, vol. 126.