N. Gast, D. Tomozei, and J. L. Boudec, Optimal storage policies with wind forecast uncertainties, ACM SIGMETRICS Performance Evaluation Review, vol.40, issue.3, 2012.
DOI : 10.1145/2425248.2425255

A. Bejan, R. Gibbens, and F. Kelly, Statistical aspects of storage systems modelling in energy networks, 2012 46th Annual Conference on Information Sciences and Systems (CISS), 2012.
DOI : 10.1109/CISS.2012.6310769

A. Costa, A. Crespo, J. Navarro, G. Lizcano, H. Madsen et al., A review on the young history of the wind power short-term prediction, Renewable and Sustainable Energy Reviews, vol.12, issue.6, pp.1725-1744, 2008.
DOI : 10.1016/j.rser.2007.01.015

H. Holttinen, P. Meibom, A. Orths, B. Lange, M. O. Malley et al., Impacts of large amounts of wind power on design and operation of power systems, results of IEA collaboration, Wind Energy, vol.28, issue.2, pp.179-192, 2011.
DOI : 10.1002/we.410

K. Heussen, S. Koch, A. Ulbig, and G. Andersson, Unified System-Level Modeling of Intermittent Renewable Energy Sources and Energy Storage for Power System Operation, IEEE Systems Journal, vol.6, issue.1, pp.140-151, 2012.
DOI : 10.1109/JSYST.2011.2163020

M. Arnold and G. Andersson, Model predictive control of energy storage including uncertain forecasts, Power Systems Computation Conference (PSCC), 2011.

A. Ulbig and G. Andersson, On operational flexibility in power systems, 2012 IEEE Power and Energy Society General Meeting
DOI : 10.1109/PESGM.2012.6344676

R. Doherty and M. O. Malley, A New Approach to Quantify Reserve Demand in Systems With Significant Installed Wind Capacity, IEEE Transactions on Power Systems, vol.20, issue.2, pp.587-595, 2005.
DOI : 10.1109/TPWRS.2005.846206

M. A. Ortega-vazquez and D. S. Kirschen, Estimating the Spinning Reserve Requirements in Systems With Significant Wind Power Generation Penetration, IEEE Transactions on Power Systems, vol.24, issue.1, pp.114-124, 2009.
DOI : 10.1109/TPWRS.2008.2004745

J. Warrington, P. Goulart, S. Mariéthoz, and M. Morari, Robust reserve operation in power systems using affine policies, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC), pp.1111-1117, 2012.
DOI : 10.1109/CDC.2012.6425913

A. Fabbri, T. Gomez-san-roman, J. R. Abbad, and V. Quezada, Assessment of the Cost Associated With Wind Generation Prediction Errors in a Liberalized Electricity Market, IEEE Transactions on Power Systems, vol.20, issue.3, pp.1440-1446, 2005.
DOI : 10.1109/TPWRS.2005.852148

E. M. Constantinescu, V. M. Zavala, M. Rocklin, S. Lee, and M. Anitescu, A Computational Framework for Uncertainty Quantification and Stochastic Optimization in Unit Commitment With Wind Power Generation, IEEE Transactions on Power Systems, vol.26, issue.1, pp.431-441, 2011.
DOI : 10.1109/TPWRS.2010.2048133

T. K. Brekken, A. Yokochi, A. Von-jouanne, Z. Z. Yen, H. M. Hapke et al., Optimal Energy Storage Sizing and Control for Wind Power Applications, IEEE Transactions on Sustainable Energy, vol.2, issue.1, pp.69-77, 2011.
DOI : 10.1109/TSTE.2010.2066294

J. Garcia-gonzalez, R. De-la-muela, L. Santos, and A. González, Stochastic Joint Optimization of Wind Generation and Pumped-Storage Units in an Electricity Market, IEEE Transactions on Power Systems, vol.23, issue.2, pp.460-468, 2008.
DOI : 10.1109/TPWRS.2008.919430

E. D. Castronuovo and J. A. Lopes, Optimal operation and hydro storage sizing of a wind???hydro power plant, International Journal of Electrical Power & Energy Systems, vol.26, issue.10, pp.771-778, 2004.
DOI : 10.1016/j.ijepes.2004.08.002

M. Korpaas, A. T. Holen, and R. Hildrum, Operation and sizing of energy storage for wind power plants in a market system, International Journal of Electrical Power & Energy Systems, vol.25, issue.8, pp.599-606, 2003.
DOI : 10.1016/S0142-0615(03)00016-4

E. Y. Bitar, E. Baeyens, P. P. Khargonekar, K. Poolla, and P. Varaiya, Optimal sharing of quantity risk for a coalition of wind power producers facing nodal prices, 2012 American Control Conference (ACC), pp.4438-4445, 2012.
DOI : 10.1109/ACC.2012.6315524

S. Chatzivasileiadis, M. Bucher, M. Arnold, T. Krause, and G. Andersson, Incentives for optimal integration of fluctuating power generation, 17th Power Systems Computation Conference, 2011.

N. Gast, J. L. Boudec, A. Proutì, and D. Tomozei, Impact of storage on the efficiency and prices in real-time electricity markets, Proceedings of the the fourth international conference on Future energy systems, e-Energy '13, 2013.
DOI : 10.1145/2487166.2487169

URL : https://hal.archives-ouvertes.fr/hal-00920091

R. Sioshansi, Welfare Impacts of Electricity Storage and the Implications of Ownership Structure, The Energy Journal, vol.31, issue.2, p.173, 2010.
DOI : 10.5547/ISSN0195-6574-EJ-Vol31-No2-7

X. He, W. Delarue, E. Haeseleer, and J. Glachant, Coupling electricity storage with electricity markets: a welfare analysis in the french market, 2012.

R. Walawalkar, J. Apt, and R. Mancini, Economics of electric energy storage for energy arbitrage and regulation in New York, Energy Policy, vol.35, issue.4, pp.2558-2568, 2007.
DOI : 10.1016/j.enpol.2006.09.005

R. Sioshansi, P. Denholm, T. Jenkin, and J. Weiss, Estimating the value of electricity storage in PJM: Arbitrage and some welfare effects, Energy Economics, vol.31, issue.2, pp.269-277, 2009.
DOI : 10.1016/j.eneco.2008.10.005

A. Tuohy and M. O. Malley, Impact of pumped storage on power systems with increasing wind penetration, 2009 IEEE Power & Energy Society General Meeting, pp.1-8, 2009.
DOI : 10.1109/PES.2009.5275839

M. Hildmann, A. Ulbig, and G. Andersson, Electricity grid in-feed from renewable sources: A risk for pumped-storage hydro plants?, 2011 8th International Conference on the European Energy Market (EEM), pp.185-190, 2011.
DOI : 10.1109/EEM.2011.5953005

D. Mackay, Sustainable Energy-without the hot air, 2008.

. Uk, . Decc, and . Calculator, 2050-calculator-tool.decc.gov. uk, accessed 26 [28] https://www.dom.com/about/stations/hydro/ bath-county-pumped-storage-station.jsp, accessed 26, 2013.

B. Hodge and M. Milligan, Wind power forecasting error distributions over multiple timescales, 2011 IEEE Power and Energy Society General Meeting, pp.1-8, 2011.
DOI : 10.1109/PES.2011.6039388

H. Bludszuweit, J. A. Domínguez-navarro, and A. Llombart, Statistical Analysis of Wind Power Forecast Error, IEEE Transactions on Power Systems, vol.23, issue.3, pp.983-991, 2008.
DOI : 10.1109/TPWRS.2008.922526

M. Puterman, Markov decision processes: Discrete stochastic dynamic programming, J. W. & S, 1994.
DOI : 10.1002/9780470316887

N. Gast and B. Gaujal, Markov chains with discontinuous drifts have differential inclusion limits, Performance Evaluation, vol.69, issue.12, pp.623-642, 2012.
DOI : 10.1016/j.peva.2012.07.003

URL : https://hal.archives-ouvertes.fr/hal-00787999

. Dan-cristian-tomozei-dan-cristian and . Tomozei, During his PhD, he was affiliated with the Technicolor Paris Research Lab; he developed distributed algorithms for congestion control and content recommendation in peer-to-peer networks. He obtained his PhD in 2011 from the University, postdoctoral researcher at cole Polytechnique Fdrale de Lausanne (EPFL), Switzerland. He is working in the group of Professor Jean-Yves Le Boudec (LCA2) on communication and control mechanisms for the Smart Grid, 2011.