An Analytical Approach for Optimal Placement and Sizing of Energy Storage
Finding of optimal location and capacity for storage units have been highly noticed in modern power systems. In this paper, the optimal location and capacity of a storage unit is determined by an analytical technique in order to acquire the maximum profit. Target function is a single- variable function in which by its derivation the conditions required for maximization of profit are identified. In target function, all costs and earnings have been introduced as functions of nominal power of storage unit and thereby the capacity of storage unit and location for its installation is derived.
This technique has been simulated on a 12-bus distribution network by means of MATLAB software. The authenticity of the derived results from the purposed analytical methods has been verified by review all possible modes for installation and determination of capacity for storage unit in this grid.
 Atwa YM, El-Saadany EF, Optimal Allocation of ESS in Distribution Systems With a High Penetration of Wind Energy, IEEE T Power Syst, Vol.25, 2010, pp. 1815 – 1822.
 Chen C, Duan S, Cai T, Liu B, Hu G, Optimal Allocation and Economic Analysis of Energy Storage System in Microgrids, IEEE T Power Electron,Vol. 26, 2011, pp. 2762 – 2773.
 Carpinelli G, Celli G, Mocci S, Mottola F, Pilo F, Proto D, Optimal Integration of Distributed Energy Storage Devices in Smart Grids, IEEE T Smart Grid, Vol. 4, 2013, pp. 985 – 995.
 Celli G, Mocci S, Pilo F, Loddo M, Optimal Integration of Energy Storage in Distribution Networks, In: IEEE Bucharest Power Tech Conference; 28 June-2 July 2009; Bucharest: IEEE. pp. 1-7.
 Chen SX, Gooi HB, Wang MQ, Sizing of Energy Storage for Microgrids, IEEE T Smart Grid, Vol. 3, 2012, pp. 142 – 151.
 Nick M, Hohmann M, Cherkaoui R, Paolone M, On the Optimal Placement of Distributed Storage Systems for Voltage Control in Active Distribution Networks, In: 3rd IEEE PES Innovative Smart Grid Technologies Europe (ISGT Europe); 14-17 October 2012; Berlin, Germany: IEEE. pp. 1 – 6.
 Kerestes RJ, Reed GF, Sparacino AR, Economic Analysis of Grid Level Energy Storage for the Application of Load Leveling, In: Power and Energy Society General Meeting; 22-26 July 2012; San Diego, CA: IEEE. pp. 1 – 9.
 Poonpun P, Jewell WT, Analysis of the Cost per Kilowatt Hour to Store Electricity, IEEE T Energy Convers, Vol. 23, 2008, pp. 529 – 534.
 Kothari DP, Dhillon JS, Power System ptimization, New Delhi, Prentice-Hall, 2006.
 Singh RK, Goswami SK, Optimum allocation of distributed generations based on nodal pricing for profit, loss reduction and voltage improvement including voltage rise issue, International Journal of Electrical Power & Energy Systems, Vol. 32, 2010, pp. 637–644.
 Schoenung S, Hassenzahl W. Long- vs. Short-Term Energy Storage Technologies Analysis: A Life-Cycle Cost Study. SANDIA REPORT; August, 2003.
 Schoenung S. Energy Storage Systems Cost Update: A Study for the DOE Energy Storage Systems Program. SANDIA REPORT; April 2011.