{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,29]],"date-time":"2025-11-29T00:43:54Z","timestamp":1764377034500,"version":"3.46.0"},"reference-count":29,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2025,3,13]],"date-time":"2025-03-13T00:00:00Z","timestamp":1741824000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2025,3,13]],"date-time":"2025-03-13T00:00:00Z","timestamp":1741824000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Comput Optim Appl"],"published-print":{"date-parts":[[2025,12]]},"DOI":"10.1007\/s10589-025-00673-0","type":"journal-article","created":{"date-parts":[[2025,3,13]],"date-time":"2025-03-13T16:15:42Z","timestamp":1741882542000},"page":"863-887","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["New biconvex optimization for planning of battery energy storage systems"],"prefix":"10.1007","volume":"92","author":[{"given":"Ang","family":"Li","sequence":"first","affiliation":[]},{"given":"Jiming","family":"Peng","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2157-310X","authenticated-orcid":false,"given":"Lei","family":"Fan","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2025,3,13]]},"reference":[{"issue":"2","key":"673_CR1","doi-asserted-by":"publisher","first-page":"800","DOI":"10.1109\/TPWRS.2011.2169817","volume":"27","author":"R Jiang","year":"2011","unstructured":"Jiang, R., Wang, J., Guan, Y.: Robust unit commitment with wind power and pumped storage hydro. IEEE Trans. Power Syst. 27(2), 800\u2013810 (2011)","journal-title":"IEEE Trans. Power Syst."},{"key":"673_CR2","doi-asserted-by":"crossref","unstructured":"Mohler, D., Sowder, D.: Energy storage and the need for flexibility on the grid. In: Renewable Energy Integration, pp. 309\u2013316. Elsevier, Boston (2017)","DOI":"10.1016\/B978-0-12-809592-8.00023-8"},{"issue":"2","key":"673_CR3","doi-asserted-by":"publisher","first-page":"582","DOI":"10.1016\/j.ejor.2017.06.052","volume":"264","author":"T Weitzel","year":"2018","unstructured":"Weitzel, T., Glock, C.H.: Energy management for stationary electric energy storage systems: a systematic literature review. Eur. J. Oper. Res. 264(2), 582\u2013606 (2018)","journal-title":"Eur. J. Oper. Res."},{"issue":"4","key":"673_CR4","doi-asserted-by":"publisher","first-page":"511","DOI":"10.1016\/j.epsr.2008.09.017","volume":"79","author":"K Divya","year":"2009","unstructured":"Divya, K., \u00d8stergaard, J.: Battery energy storage technology for power systems\u2014an overview. Electric Power Syst. Res. 79(4), 511\u2013520 (2009)","journal-title":"Electric Power Syst. Res."},{"key":"673_CR5","doi-asserted-by":"crossref","unstructured":"Cole, W., Frazier, A.W., Augustine, C.: Cost projections for utility-scale battery storage: 2021 update. Technical report, National Renewable Energy Lab. (NREL), Golden, CO (United States) (2021)","DOI":"10.2172\/1786976"},{"issue":"1","key":"673_CR6","doi-asserted-by":"publisher","first-page":"36","DOI":"10.17775\/CSEEJPES.2017.0006","volume":"3","author":"AJ Conejo","year":"2017","unstructured":"Conejo, A.J., Cheng, Y., Zhang, N., Kang, C.: Long-term coordination of transmission and storage to integrate wind power. CSEE J. Power Energy Syst. 3(1), 36\u201343 (2017)","journal-title":"CSEE J. Power Energy Syst."},{"key":"673_CR7","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1016\/j.epsr.2016.11.012","volume":"145","author":"J Aguado","year":"2017","unstructured":"Aguado, J., Torre, S., Trivi\u00f1o, A.: Battery energy storage systems in transmission network expansion planning. Electric Power Syst. Res. 145, 63\u201372 (2017)","journal-title":"Electric Power Syst. Res."},{"issue":"1","key":"673_CR8","doi-asserted-by":"publisher","first-page":"240","DOI":"10.1016\/j.ejor.2007.04.008","volume":"188","author":"A Rong","year":"2008","unstructured":"Rong, A., Lahdelma, R., Luh, P.B.: Lagrangian relaxation based algorithm for trigeneration planning with storages. Eur. J. Oper. Res. 188(1), 240\u2013257 (2008)","journal-title":"Eur. J. Oper. Res."},{"issue":"3","key":"673_CR9","doi-asserted-by":"publisher","first-page":"1678","DOI":"10.1109\/TPWRS.2016.2593422","volume":"32","author":"A Lorca","year":"2016","unstructured":"Lorca, A., Sun, X.A.: Multistage robust unit commitment with dynamic uncertainty sets and energy storage. IEEE Trans. Power Syst. 32(3), 1678\u20131688 (2016)","journal-title":"IEEE Trans. Power Syst."},{"issue":"2","key":"673_CR10","doi-asserted-by":"publisher","first-page":"565","DOI":"10.1016\/j.ejor.2016.03.013","volume":"254","author":"A Billionnet","year":"2016","unstructured":"Billionnet, A., Costa, M.-C., Poirion, P.-L.: Robust optimal sizing of a hybrid energy stand-alone system. Eur. J. Oper. Res. 254(2), 565\u2013575 (2016)","journal-title":"Eur. J. Oper. Res."},{"issue":"18","key":"673_CR11","doi-asserted-by":"publisher","first-page":"3738","DOI":"10.1049\/iet-gtd.2019.1492","volume":"14","author":"Z Chen","year":"2020","unstructured":"Chen, Z., Li, Z., Guo, C., Ding, Y., He, Y.: Two-stage chance-constrained unit commitment based on optimal wind power consumption point considering battery energy storage. IET Gener. Transm. Distrib. 14(18), 3738\u20133749 (2020)","journal-title":"IET Gener. Transm. Distrib."},{"key":"673_CR12","doi-asserted-by":"crossref","unstructured":"Finnah, B., G\u00f6nsch, J., Ziel, F.: Integrated day-ahead and intraday self-schedule bidding for energy storage systems using approximate dynamic programming. Eur. J. Oper. Res. (2021)","DOI":"10.1016\/j.ejor.2021.11.010"},{"issue":"1","key":"673_CR13","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/j.ejor.2018.09.037","volume":"285","author":"DZ Szab\u00f3","year":"2020","unstructured":"Szab\u00f3, D.Z., Duck, P., Johnson, P.: Optimal trading of imbalance options for power systems using an energy storage device. Eur. J. Oper. Res. 285(1), 3\u201322 (2020)","journal-title":"Eur. J. Oper. Res."},{"key":"673_CR14","doi-asserted-by":"publisher","DOI":"10.1016\/j.apenergy.2019.114251","volume":"260","author":"E T\u00f3masson","year":"2020","unstructured":"T\u00f3masson, E., Hesamzadeh, M.R., Wolak, F.A.: Optimal offer-bid strategy of an energy storage portfolio: a linear quasi-relaxation approach. Appl. Energy 260, 114251 (2020)","journal-title":"Appl. Energy"},{"issue":"6","key":"673_CR15","doi-asserted-by":"publisher","first-page":"5125","DOI":"10.1109\/TPWRS.2018.2890714","volume":"34","author":"S Babaei","year":"2019","unstructured":"Babaei, S., Zhao, C., Fan, L.: A data-driven model of virtual power plants in day-ahead unit commitment. IEEE Trans. Power Syst. 34(6), 5125\u20135135 (2019)","journal-title":"IEEE Trans. Power Syst."},{"issue":"2","key":"673_CR16","doi-asserted-by":"publisher","first-page":"524","DOI":"10.1016\/j.ejor.2019.06.019","volume":"279","author":"B Sun","year":"2019","unstructured":"Sun, B., Sun, X., Tsang, D.H.K., Whitt, W.: Optimal battery purchasing and charging strategy at electric vehicle battery swap stations. Eur. J. Oper. Res. 279(2), 524\u2013539 (2019)","journal-title":"Eur. J. Oper. Res."},{"key":"673_CR17","unstructured":"Perumal, S.S.G., Lusby, R.M., Larsen, J.: Electric bus planning & scheduling: a review of related problems and methodologies. Eur. J. Oper. Res. (2021)"},{"issue":"6","key":"673_CR18","doi-asserted-by":"publisher","first-page":"4964","DOI":"10.1109\/TPWRS.2020.3020730","volume":"35","author":"JM Arroyo","year":"2020","unstructured":"Arroyo, J.M., Baringo, L., Baringo, A., Bola\u00f1os, R., Alguacil, N., Cobos, N.G.: On the use of a convex model for bulk storage in MIP-based power system operation and planning. IEEE Trans. Power Syst. 35(6), 4964\u20134967 (2020)","journal-title":"IEEE Trans. Power Syst."},{"issue":"1","key":"673_CR19","doi-asserted-by":"publisher","first-page":"672","DOI":"10.1109\/TPWRS.2019.2930450","volume":"35","author":"AJ Gonzalez-Castellanos","year":"2019","unstructured":"Gonzalez-Castellanos, A.J., Pozo, D., Bischi, A.: Non-ideal linear operation model for Li-ion batteries. IEEE Trans. Power Syst. 35(1), 672\u2013682 (2019)","journal-title":"IEEE Trans. Power Syst."},{"issue":"2","key":"673_CR20","doi-asserted-by":"publisher","first-page":"1416","DOI":"10.1109\/TPWRS.2018.2876466","volume":"34","author":"H Pand\u017ei\u0107","year":"2018","unstructured":"Pand\u017ei\u0107, H., Bobanac, V.: An accurate charging model of battery energy storage. IEEE Trans. Power Syst. 34(2), 1416\u20131426 (2018)","journal-title":"IEEE Trans. Power Syst."},{"key":"673_CR21","doi-asserted-by":"publisher","first-page":"178357","DOI":"10.1109\/ACCESS.2019.2957698","volume":"7","author":"DM Rosewater","year":"2019","unstructured":"Rosewater, D.M., Copp, D.A., Nguyen, T.A., Byrne, R.H., Santoso, S.: Battery energy storage models for optimal control. IEEE Access 7, 178357\u2013178391 (2019)","journal-title":"IEEE Access"},{"key":"673_CR22","doi-asserted-by":"publisher","DOI":"10.1016\/j.rser.2019.06.040","volume":"113","author":"P Shrivastava","year":"2019","unstructured":"Shrivastava, P., Soon, T.K., Idris, M.Y.I.B., Mekhilef, S.: Overview of model-based online state-of-charge estimation using kalman filter family for lithium-ion batteries. Renew. Sustain. Energy Rev. 113, 109233 (2019)","journal-title":"Renew. Sustain. Energy Rev."},{"key":"673_CR23","doi-asserted-by":"crossref","unstructured":"Li, A., Peng, J., Fan, L., Du, P.: Nonlinear energy arbitrage models and algorithms for battery energy storage systems in electricity market. In: 2023 North American Power Symposium 55th, Proceedings (2023)","DOI":"10.1109\/NAPS58826.2023.10318669"},{"issue":"3","key":"673_CR24","doi-asserted-by":"publisher","first-page":"1140","DOI":"10.1109\/TSTE.2017.2663334","volume":"8","author":"J Tan","year":"2017","unstructured":"Tan, J., Zhang, Y.: Coordinated control strategy of a battery energy storage system to support a wind power plant providing multi-timescale frequency ancillary services. IEEE Trans. Sustain. Energy 8(3), 1140\u20131153 (2017)","journal-title":"IEEE Trans. Sustain. Energy"},{"key":"673_CR25","doi-asserted-by":"publisher","first-page":"373","DOI":"10.1007\/s00186-007-0161-1","volume":"66","author":"J Gorski","year":"2007","unstructured":"Gorski, J., Pfeuffer, F., Klamroth, K.: Biconvex sets and optimization with biconvex functions: a survey and extensions. Math. Methods Oper. Res. 66, 373\u2013407 (2007)","journal-title":"Math. Methods Oper. Res."},{"key":"673_CR26","doi-asserted-by":"publisher","first-page":"119","DOI":"10.1007\/s12532-018-0142-9","volume":"11","author":"H Luo","year":"2019","unstructured":"Luo, H., Bai, X., Lim, G., Peng, J.: New global algorithms for quadratic programming with a few negative eigenvalues based on alternative direction method and convex relaxation. Math. Program. Comput. 11, 119\u2013171 (2019)","journal-title":"Math. Program. Comput."},{"key":"673_CR27","volume-title":"Numerical Optimization","author":"J Nocedal","year":"2006","unstructured":"Nocedal, J., Wright, S.: Numerical Optimization. Springer, New York (2006)"},{"key":"673_CR28","volume-title":"Linear and Nonlinear Programming","author":"DG Luenberger","year":"1984","unstructured":"Luenberger, D.G., Ye, Y., et al.: Linear and Nonlinear Programming, vol. 2. Springer, New York (1984)"},{"key":"673_CR29","doi-asserted-by":"publisher","first-page":"286","DOI":"10.1016\/j.energy.2017.11.154","volume":"144","author":"A Berrueta","year":"2018","unstructured":"Berrueta, A., Urtasun, A., Urs\u00faa, A., Sanchis, P.: A comprehensive model for lithium-ion batteries: from the physical principles to an electrical model. Energy 144, 286\u2013300 (2018)","journal-title":"Energy"}],"container-title":["Computational Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-025-00673-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10589-025-00673-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10589-025-00673-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,28]],"date-time":"2025-11-28T10:28:02Z","timestamp":1764325682000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10589-025-00673-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,3,13]]},"references-count":29,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2025,12]]}},"alternative-id":["673"],"URL":"https:\/\/doi.org\/10.1007\/s10589-025-00673-0","relation":{},"ISSN":["0926-6003","1573-2894"],"issn-type":[{"type":"print","value":"0926-6003"},{"type":"electronic","value":"1573-2894"}],"subject":[],"published":{"date-parts":[[2025,3,13]]},"assertion":[{"value":"24 October 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 February 2025","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"13 March 2025","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors have no relevant financial or non-financial interests to disclose. The authors have no conflict of interest to declare that are relevant to the content of this article. All authors certify that they have no affiliations with or involvement in any organization or entity with any financial interest or non-financial interest in the subject matter or materials discussed in this manuscript. The authors have no financial or proprietary interests in any material discussed in this article.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}