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Modeling and Optimization Methods for Controlling and Sizing Grid-Connected Energy Storage: A Review

  • Energy Storage (M Kintner-Meyer, Section Editor)
  • Published:
Current Sustainable/Renewable Energy Reports Aims and scope Submit manuscript

Abstract

Purpose of Review

Energy storage is capable of providing a variety of services and solving a multitude of issues in today’s rapidly evolving electric power grid. This paper reviews recent research on modeling and optimization for optimally controlling and sizing grid-connected battery energy storage systems (BESSs). Open issues and promising research directions are discussed.

Recent Findings

Recent studies on BESS dispatch, evaluation, and sizing focus on advanced modeling and optimization methods to maximize stacked value streams from multiple services. BESS models have been improved to better represent operational characteristics or capture degradation effects. Different solution methods and optimization techniques have been proposed to improve the benefits and cost-effectiveness of BESSs, using deterministic approaches prevalently but with impressive progress in modeling and addressing uncertainties.

Summary

Recent progress in BESS scheduling and sizing better supports planning and operational decision-making in different use cases, which is highly important to advance the deployment of BESSs. Additional research is required to properly model the trade-off between short-term benefits and service life with multiple degradation effects explicitly considered in the decision-making process. Advanced methods are to be developed for effectively determining optimal BESS sizes that maximize overall benefits within a varying lifetime considering diversified system conditions, as well as uncertainties at planning and operational stages.

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References

  1. Hesse HC, Schimpe M, Kucevic D, Jossen A. 2017. Lithium-ion battery storage for the grid—a review of stationary battery storage system design tailored for applications in modern power grids Energies 10(12). https://doi.org/10.3390/en10122107.

  2. Balducci P, Alam J, Hardy T, Wu D. Assigning value to energy storage systems at multiple points in an electrical grid. Energy Environ Sci 2018;11(8):1926–1944. https://doi.org/10.1039/C8EE00569A.

    Article  Google Scholar 

  3. Koohi-Fayegh S, Rosen M. A review of energy storage types, applications and recent developments. J Energy Storage 2020;27:101047. https://doi.org/10.1016/j.est.2019.101047.

    Article  Google Scholar 

  4. U.S. Department of Energy: DOE OE global energy storage database. https://www.sandia.gov/ess-ssl/global-energy-storage-database-home/.

  5. Twitchell J. A review of state-level policies on electrical energy storage. Current Sustain/Renew Energy Rep 2019;6(2):35–41. https://doi.org/10.1007/s40518-019-00128-1.

    Article  Google Scholar 

  6. U.S. Energy Information Administration: Battery storage in the United States: an update on market trends, July 2020. https://www.eia.gov/analysis/studies/electricity/batterystorage/pdf/battery_storage.pdf.

  7. Ratnam EL, Weller SR, Kellett CM. An optimization-based approach to scheduling residential battery storage with solar PV: assessing customer benefit. Renew Energy 2015;75:123–134. https://doi.org/10.1016/j.renene.2014.09.008.

    Article  Google Scholar 

  8. Wogrin S, Gayme DF. Optimizing storage siting, sizing, and technology portfolios in transmission-constrained networks. IEEE Trans Power Syst 2015;30(6):3304–3313. https://doi.org/10.1109/TPWRS.2014.2379931.

    Article  Google Scholar 

  9. Wu D, Jin C, Balducci P, Kintner-Meyer M. An energy storage assessment: using optimal control strategies to capture multiple services. Proceedings of the IEEE Power and Energy Society General Meeting. Denver; 2015. p. 1–5. https://doi.org/10.1109/PESGM.2015.7285820.

  10. Atia R, Yamada N. Sizing and analysis of renewable energy and battery systems in residential microgrids. IEEE Trans Smart Grid 2016;7(3):1204–1213. https://doi.org/10.1109/TSG.2016.2519541.

    Article  Google Scholar 

  11. Byrne RH, Concepcion RJ, Silva-Monroy CA. Estimating potential revenue from electrical energy storage in PJM. Proceedings of the IEEE Power and Energy Society General Meeting; 2016. p. 1–5. https://doi.org/10.1109/PESGM.2016.7741915.

  12. Fang H, Wu D, Yang T. Cooperative management of a lithium-ion battery energy storage network: a distributed MPC approach. Proceedings of the IEEE Conference on Decision and Control. Las Vegas; 2016. p. 4226–4232. https://doi.org/10.1109/CDC.2016.7798911.

  13. Fang X, Li F, Wei Y, Cui H. Strategic scheduling of energy storage for load serving entities in locational marginal pricing market. IET Gener Trans Distrib 2016;10(5):1258–1267. https://doi.org/10.1049/iet-gtd.2015.0144.

    Article  Google Scholar 

  14. Fernandez-Blanco R, Dvorkin Y, Xu B, Wang Y, Kirschen DS. Optimal energy storage siting and sizing: a WECC case study. IEEE Trans Sustain Energy 2016;PP(99):1–1. https://doi.org/10.1109/TSTE.2016.2616444.

    Google Scholar 

  15. Sharma S, Bhattacharjee S, Bhattacharya A. Grey wolf optimisation for optimal sizing of battery energy storage device to minimise operation cost of microgrid. IET Gener Trans Distrib 2016;10(3):625–637. https://doi.org/10.1049/iet-gtd.2015.0429.

    Article  Google Scholar 

  16. Wu D, Kintner-Meyer M, Yang T, Balducci P. Economic analysis and optimal sizing for behind-the-meter battery storage. Proceedings of the IEEE Power and Energy Society General Meeting. Boston; 2016. p. 1–5. https://doi.org/10.1109/PESGM.2016.7741210.

  17. Kazemi M, Zareipour H, Amjady N, Rosehart Wd, ehsan M. Operation scheduling of battery storage systems in joint energy and ancillary services markets. IEEE Trans Sustain Energy 2017;8(4): 1726–1735. https://doi.org/10.1109/TSTE.2017.2706563.

    Article  Google Scholar 

  18. Marley JF, Molzahn D.k, hiskens IA. Solving multiperiod OPF problems using an AC-QP algorithm initialized with an SOCP relaxation. IEEE Trans Power Syst 2017;32(5):3538–3548. https://doi.org/10.1109/TPWRS.2016.2636132.

    Article  Google Scholar 

  19. Wu D, Yang T, Stoorvogel AA, Stoustrup J. Distributed optimal coordination for distributed energy resources in power systems. IEEE Trans Autom Sci Eng 2017;14(2):414–424. https://doi.org/10.1109/TASE.2016.2627006.

    Article  Google Scholar 

  20. Wu D, Kintner-Meyer M, Yang T, Balducci P. Analytical sizing methods for behind-the-meter battery storage. J Energy Storage 2017;12:297–304. https://doi.org/10.1016/j.est.2017.04.009.

    Article  Google Scholar 

  21. Cherukuri A, Cortés J. Distributed coordination of DERs, with storage for dynamic economic dispatch. IEEE Trans Autom Control 2018;63(3):835–842. https://doi.org/10.1109/TAC.2017.2731809.

    Article  MathSciNet  MATH  Google Scholar 

  22. Fang X, Hodge B, Bai L, Cui H, Li F. Mean-variance optimization-based energy storage scheduling considering day-ahead and real-time LMP, uncertainties. IEEE Trans Power Syst 2018;33(6):7292–7295. https://doi.org/10.1109/TPWRS.2018.2852951.

    Article  Google Scholar 

  23. Hao H, Wu D, Lian J, Yang T. Optimal coordination of building loads and energy storage for power grid and end user services. IEEE Trans Smart Grid 2018;9(5):4335–4345. https://doi.org/10.1109/TSG.2017.2655083.

    Article  Google Scholar 

  24. Namor E, Sossan F, Cherkaoui R, Paolone M. Control of battery storage systems for the simultaneous provision of multiple services. IEEE Trans Smart Grid 2019;10(3):2799–2808. https://doi.org/10.1109/TSG.2018.2810781.

    Article  Google Scholar 

  25. Sedighizadeh M, Esmaili M, Jamshidi A, Ghaderi MH. Stochastic multi-objective economic-environmental energy and reserve scheduling of microgrids considering battery energy storage system. Int J Electr Power Energy Syst 2019;106:1–16. https://doi.org/10.1016/j.ijepes.2018.09.037.

    Article  Google Scholar 

  26. Shuai H, Fang J, Ai X, Tang Y, Wen J, he H. Stochastic optimization of economic dispatch for microgrid based on approximate dynamic programming. IEEE Trans Smart Grid 2019;10(3):2440–2452. https://doi.org/10.1109/TSG.2018.2798039.

    Article  Google Scholar 

  27. Balducci P, Mongird K, Wu D, Wang D, Fotedar V, Dahowski RT. An evaluation of the economic and resilience benefits of a microgrid in Northampton, Massachusetts. Energies. 2020;13. https://doi.org/10.3390/en13184802. 4802.

  28. Das A, Ni Z, Zhong X, Wu D. Experimental validation of approximate dynamic programming based optimization and convergence on microgrid applications. In: Proceedings of the IEEE Power and Energy Society General Meeting; 2020.

  29. Wu D, Ma X, Huang S, Fu T, Balducci P. Stochastic optimal sizing of distributed energy resources for a cost-effective and resilient microgrid. Energy. 2020;198. . 117284.

  30. Zhu J, Chen L, Wang X, Yu L. Bi-level optimal sizing and energy management of hybrid electric propulsion systems. Appl Energy 2020;114134:260. https://doi.org/10.1016/j.apenergy.2019.114134.

    Google Scholar 

  31. Hu W, Wang P, Gooi HB. 2016. Assessing the economics of customer-sited multi-use energy storage. In: IEEE Region 10 conference (TENCON), pp 651–654. https://doi.org/10.1109/TENCON.2016.7848083.

  32. Ju C, Wang P. 2016. Energy management system for microgrids including batteries with degradation costs. In: IEEE International conference on power system technology (POWERCON), pp 1–6. https://doi.org/10.1109/POWERCON.2016.7754011.

  33. Liu Y, Du W, Xiao L, Wang H, Bu S, Cao J. Sizing a hybrid energy storage system for maintaining power balance of an isolated system with high penetration of wind generation. IEEE Trans Power Syst 2016;31(4):3267–3275. https://doi.org/10.1109/TPWRS.2015.2482983.

    Article  Google Scholar 

  34. Bordin C, Anuta HO, Crossland A, Gutierrez IL, Dent CJ, Vigo D. A linear programming approach for battery degradation analysis and optimization in offgrid power systems with solar energy integration. Renew Energy 2017;101:417–430. https://doi.org/10.1016/j.renene.2016.08.066.

    Article  Google Scholar 

  35. Abdulla K, De hoog J, Muenzel V, Suits F, Steer K, Wirth A, Halgamuge S. Optimal operation of energy storage systems considering forecasts and battery degradation. IEEE Trans Smart Grid 2018;9(3):2086–2096. https://doi.org/10.1109/TSG.2016.2606490.

    Article  Google Scholar 

  36. Akhavan-Hejazi H, Mohsenian-Rad H. Energy storage planning in active distribution grids: A chance-constrained optimization with non-parametric probability functions. IEEE Trans Smart Grid 2018;9(3):1972–1985. https://doi.org/10.1109/TSG.2016.2604286.

    Google Scholar 

  37. Cheng B, Powell WB. Co-optimizing battery storage for the frequency regulation and energy arbitrage using multi-scale dynamic programming. IEEE Trans Smart Grid 2018;9(3):1997–2005. https://doi.org/10.1109/TSG.2016.2605141.

    Google Scholar 

  38. Correa-Florez CA, Michiorri A, Kariniotakis G. Robust optimization for day-ahead market participation of smart-home aggregators. Appl Energy 2018;229:433–445. https://doi.org/10.1016/j.apenergy.2018.07.120.

    Article  Google Scholar 

  39. Foggo B, Yu N. Improved battery storage valuation through degradation reduction. IEEE Trans Smart Grid 2018;9(6):5721–5732. https://doi.org/10.1109/TSG.2017.2695196.

    Article  Google Scholar 

  40. Xu Y, Zhao T, Zhao S, Zhang J, Wang Y. Multi-objective chance-constrained optimal day-ahead scheduling considering BESS degradation. CSEE J Power Energy Syst 2018;4(3):316–325. https://doi.org/10.17775/CSEEJPES.2016.01050.

    Article  Google Scholar 

  41. Zhou J, Tsianikas S, Birnie DP, Coit DW. Economic and resilience benefit analysis of incorporating battery storage to photovoltaic array generation. Renew Energy 2019;135:652–662. https://doi.org/10.1016/j.renene.2018.12.013.

    Article  Google Scholar 

  42. Bahloul M, Khadem SK. An analytical approach for techno-economic evaluation of hybrid energy storage system for grid services. J Energy Storage 2020;101662:31. https://doi.org/10.1016/j.est.2020.101662.

    Google Scholar 

  43. Shang Y, Wu W, Guo J, Ma Z, Sheng W, Lv Z, Fu C. Stochastic dispatch of energy storage in microgrids: An augmented reinforcement learning approach. Appl Energy. 2020;261). 114423.

  44. Hamedi A, Rajabi-Ghahnavieh A. Explicit degradation modelling in optimal lead–acid battery use for photovoltaic systems. IET Gener Trans Distrib 2016;10(4):1098–1106. https://doi.org/10.1049/iet-gtd.2015.0163.

    Article  Google Scholar 

  45. Alharbi H, Bhattacharya K. Stochastic optimal planning of battery energy storage systems for isolated microgrids. IEEE Trans Sustain Energy 2017;9(1):211–227. https://doi.org/10.1109/TSTE.2017.2724514.

    Article  MATH  Google Scholar 

  46. Braeuer F, Rominger J, McKenna R, Fichtner W. Battery storage systems: an economic model-based analysis of parallel revenue streams and general implications for industry. Appl Energy 2019;239:1424–440. https://doi.org/10.1016/j.apenergy.2019.01.050.

    Article  Google Scholar 

  47. Kim SK, Kim JY, Cho KH, Byeon G. Optimal operation control for multiple BESSs, of a large-scale customer under time-based pricing. IEEE Trans Power Syst 2017;33(1):803–816. https://doi.org/10.1109/TPWRS.2017.2696571.

    Article  Google Scholar 

  48. Copp DA, Nguyen TA, Byrne RH. Adaptive model predictive control for real-time dispatch of energy storage systems. Proceedings of the IEEE American Control Conference. IEEE; 2019. p. 3611–3616. https://doi.org/10.23919/ACC.2019.8814902.

  49. Nguyen TA, Copp DA, Byrne RH, Chalamala BR. Market evaluation of energy storage systems incorporating technology-specific nonlinear models. IEEE Trans Power Syst 2019;34(5):3706–3715. https://doi.org/10.1109/TPWRS.2019.2909764.

    Article  Google Scholar 

  50. Wu D, Balducci P, Crawford A, Mongird K, Ma X. Building battery energy storage system performance data into an economic assessment. Proceedings of the IEEE Power and Energy Society General Meeting; 2020.

  51. Cao J, Harrold D, Fan Z, Morstyn T, Healey D, li K. Deep reinforcement learning-based energy storage arbitrage with accurate lithium-ion battery degradation model. IEEE Trans Smart Grid 2020;11 (5):4513–4521. https://doi.org/10.1109/TSG.2020.2986333.

    Article  Google Scholar 

  52. Fortenbacher P, Mathieu JL, Andersson G. Modeling, identification, and optimal control of batteries for power system applications. Proceedings of the IEEE Power Systems Computation Conference. IEEE; 2014. p. 1–7. https://doi.org/10.1109/PSCC.2014.7038360.

  53. Li Z, Guo Q, Sun H, Wang J. Extended sufficient conditions for exact relaxation of the complementarity constraints in storage-concerned economic dispatch. CSEE J Power Energy Syst 2018; 4(4):504–512. https://doi.org/10.17775/CSEEJPES.2016.01120.

    Article  Google Scholar 

  54. Nasrolahpour E, Kazempour SJ, Zareipour H, rosehart WD. Strategic sizing of energy storage facilities in electricity markets. IEEE Trans Sustain Energy 2016;7(4):1462–1472. https://doi.org/10.1109/TSTE.2016.2555289.

    Article  Google Scholar 

  55. Wankmüller F, Thimmapuram PR, Gallagher KG, Botterud A. Impact of battery degradation on energy arbitrage revenue of grid-level energy storage. J Energy Storage 2017;10:56–66. https://doi.org/10.1016/j.est.2016.12.004.

    Article  Google Scholar 

  56. Stroe D, Knap V, Swierczynski M, Stroe A, teodorescu R. Operation of a grid-connected lithium-ion battery energy storage system for primary frequency regulation: a battery lifetime perspective. IEEE Trans Industry Appl 2017;53(1):430–438. https://doi.org/10.1109/TIA.2016.2616319.

    Article  Google Scholar 

  57. Powell WB, Meisel S. Tutorial on stochastic optimization in energy–Part I, Modeling and policies. IEEE Trans Power Syst 2016;31(2):1459–1467. https://doi.org/10.1109/TPWRS.2015.2424974.

    Article  Google Scholar 

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Funding

We are grateful to Imre Gyuk, who is the Director of Energy Storage Research in the Office of Electricity at the U.S. Department of Energy, for providing financial support and leadership on this and other related work at Pacific Northwest National Laboratory.

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Correspondence to Di Wu.

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This material is based upon work supported by the U.S. Department of Energy (DOE), Office of Electricity through the Energy Storage program. Pacific Northwest National Laboratory is operated for the DOE by Battelle Memorial Institute under Contract DE-AC05-76RL01830.

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Wu, D., Ma, X. Modeling and Optimization Methods for Controlling and Sizing Grid-Connected Energy Storage: A Review. Curr Sustainable Renewable Energy Rep 8, 123–130 (2021). https://doi.org/10.1007/s40518-021-00181-9

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