{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:35:33Z","timestamp":1760240133676,"version":"build-2065373602"},"reference-count":58,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2019,3,26]],"date-time":"2019-03-26T00:00:00Z","timestamp":1553558400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100010665","name":"H2020 Marie Sk\u0142odowska-Curie Actions","doi-asserted-by":"publisher","award":["675318"],"award-info":[{"award-number":["675318"]}],"id":[{"id":"10.13039\/100010665","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Energies"],"abstract":"<jats:p>In recent years, the installation of residential Distributed Energy Resources (DER) that produce (mainly rooftop photovoltaics usually bundled with battery system) or consume (electric heat pumps, controllable loads, electric vehicles) electric power is continuously increasing in Low Voltage (LV) distribution networks. Several technical challenges may arise through the massive integration of DER, which have to be addressed by the distribution grid operator. However, DER can provide certain degree of flexibility to the operation of distribution grids, which is generally performed with temporal shifting of energy to be consumed or injected. This work advances a horizon optimization control framework which aims to efficiently schedule the LV network\u2019s operation in day-ahead scale coordinating multiple DER. The main objectives of the proposed control is to ensure secure LV grid operation in the sense of admissible voltage bounds and rated loading conditions for the secondary transformer. The proposed methodology leans on a multi-period three-phase Optimal Power Flow (OPF) addressed as a nonlinear optimization problem. The resulting horizon control scheme is validated within an LV distribution network through multiple case scenarios with high microgeneration and electric vehicle integration providing admissible voltage limits and avoiding unnecessary active power curtailments.<\/jats:p>","DOI":"10.3390\/en12061182","type":"journal-article","created":{"date-parts":[[2019,3,27]],"date-time":"2019-03-27T05:03:12Z","timestamp":1553662992000},"page":"1182","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["A Horizon Optimization Control Framework for the Coordinated Operation of Multiple Distributed Energy Resources in Low Voltage Distribution Networks"],"prefix":"10.3390","volume":"12","author":[{"given":"Konstantinos","family":"Kotsalos","sequence":"first","affiliation":[{"name":"Efacec, Division of Smart Grids, 4471-907 Porto, Portugal"}]},{"given":"Ismael","family":"Miranda","sequence":"additional","affiliation":[{"name":"Efacec, Division of Storage, 4471-907 Porto, Portugal"}]},{"given":"Nuno","family":"Silva","sequence":"additional","affiliation":[{"name":"Efacec, Division of T&amp;I, 4466-952 Porto, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1958-964X","authenticated-orcid":false,"given":"Helder","family":"Leite","sequence":"additional","affiliation":[{"name":"Faculty of Engineering (FEUP), University of Porto, 4200-465 Porto, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2019,3,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1016\/j.rser.2016.06.008","article-title":"Managing electric flexibility from Distributed Energy Resources: A review of incentives for market design","volume":"64","author":"Eid","year":"2016","journal-title":"Renew. Sustain. Energy Rev."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Lotfi, M., Monteiro, C., Shafie-khah, M., and Catal\u00e3o, J.P.S. (2018, January 18\u201320). Evolution of Demand Response: A Historical Analysis of Legislation and Research Trends. Proceedings of the 2018 Twentieth International Middle East Power Systems Conference (MEPCON), Cairo, Egypt.","DOI":"10.1109\/MEPCON.2018.8635264"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Ochoa, L.F., and Mancarella, P. (2012, January 22\u201326). Low-carbon LV networks: Challenges for planning and operation. Proceedings of the 2012 IEEE Power and Energy Society General Meeting, San Diego, CA, USA.","DOI":"10.1109\/PESGM.2012.6344760"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Bruno, S., and La Scala, M. (2016). Unbalanced Three-Phase Optimal Power Flow for the Optimization of MV and LV Distribution Grids. From Smart Grids to Smart Cities: New Challenges in Optimizing Energy Grids, Wiley.","DOI":"10.1002\/9781119116080"},{"key":"ref_5","unstructured":"Control and Management Architectures (2016). Smart Grid Handbook, Wiley."},{"key":"ref_6","unstructured":"Karagiannopoulos, S., Roald, L., Aristidou, P., and Hug, G. (2018, January 07). Operational Planning of Active Distribution Grids under Uncertainty. Available online: http:\/\/eprints.whiterose.ac.uk\/120043\/."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"4504","DOI":"10.1109\/TIE.2011.2106099","article-title":"Unbalanced three-phase optimal power flow for smart grids","volume":"58","author":"Bruno","year":"2011","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Faria, P., Sp\u00ednola, J., and Vale, Z. (2018). Distributed Energy Resources Scheduling and Aggregation in the Context of Demand Response Programs. Energies, 11.","DOI":"10.3390\/en11081987"},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Soares, T., Silva, M., Sousa, T., Morais, H., and Vale, Z. (2017). Energy and Reserve under Distributed Energy Resources Management\u2014Day-Ahead, Hour-Ahead and Real-Time. Energies, 10.","DOI":"10.3390\/en10111778"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1109\/TSTE.2010.2098483","article-title":"Coordinated Active Power Curtailment of Grid Connected PV Inverters for Overvoltage Prevention","volume":"2","author":"Tonkoski","year":"2011","journal-title":"IEEE Trans. Sustain. Energy"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"776","DOI":"10.1109\/TSTE.2014.2300934","article-title":"Combined Central and Local Active and Reactive Power Control of PV Inverters","volume":"5","author":"Weckx","year":"2014","journal-title":"IEEE Trans. Sustain. Energy"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"174","DOI":"10.1109\/JPHOTOV.2011.2174821","article-title":"Local Reactive Power Control Methods for Overvoltage Prevention of Distributed Solar Inverters in Low-Voltage Grids","volume":"1","author":"Demirok","year":"2011","journal-title":"IEEE J. Photovolt."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Heleno, M., Rua, D., Gouveia, C., Madureira, A., Matos, M.A., Lopes, J.P., Silva, N., and Salustio, S. (July, January 29). Optimizing PV self-consumption through electric water heater modeling and scheduling. Proceedings of the 2015 IEEE Eindhoven PowerTech, Eindhoven, The Netherlands.","DOI":"10.1109\/PTC.2015.7232636"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"926","DOI":"10.1109\/TSG.2015.2410171","article-title":"Active Management of Low-Voltage Networks for Mitigating Overvoltages Due to Photovoltaic Units","volume":"7","author":"Olivier","year":"2016","journal-title":"IEEE Trans. Smart Grid"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Degroote, L., Renders, B., Meersman, B., and Vandevelde, L. (July, January 28). Neutral-point shifting and voltage unbalance due to single-phase DG units in low voltage distribution networks. Proceedings of the 2009 IEEE Bucharest PowerTech, Bucharest, Romania.","DOI":"10.1109\/PTC.2009.5281998"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"726","DOI":"10.1049\/iet-gtd.2015.0398","article-title":"Coordination of multifunctional distributed energy storage systems in distribution networks","volume":"10","author":"Miranda","year":"2016","journal-title":"IET Gener. Transm. Distrib."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Fortenbacher, P., Zellner, M., and Andersson, G. (2016, January 20\u201324). Optimal sizing and placement of distributed storage in low voltage networks. Proceedings of the 2016 Power Systems Computation Conference (PSCC), Genoa, Italy.","DOI":"10.1109\/PSCC.2016.7540850"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1101","DOI":"10.1016\/j.rser.2014.07.068","article-title":"The economic viability of battery storage for residential solar photovoltaic systems\u2014A review and a simulation model","volume":"39","author":"Hoppmann","year":"2014","journal-title":"Renew. Sustain. Energy Rev."},{"key":"ref_19","unstructured":"European Union (2009). Directive 2009\/72\/EC of the European Parliament and of the Council of 13 July 2009 Concerning Common Rules for the Internal Market in Electricity and Repealing Directive 2003\/54\/EC. Off. J. Eur. Union, 211, 55\u201393."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1016\/j.segan.2016.09.002","article-title":"Optimization control scheme utilizing small-scale distributed generators and OLTC distribution transformers","volume":"8","author":"Efkarpidis","year":"2016","journal-title":"Sustain. Energy Grids Netw."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Costa, H.M., Sumaili, J., Madureira, A.G., and Gouveia, C. (2017, January 18\u201322). A multi-temporal optimal power flow for managing storage and demand flexibility in LV networks. Proceedings of the 2017 IEEE Manchester PowerTech, Manchester, UK.","DOI":"10.1109\/PTC.2017.7981166"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1016\/j.epsr.2017.01.027","article-title":"Advanced voltage control for smart microgrids using distributed energy resources","volume":"146","author":"Olival","year":"2017","journal-title":"Electr. Power Syst. Res."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Madureira, A., Gouveia, C., Moreira, C., Seca, L., and Lopes, J.P. (2013, January 5\u201317). Coordinated management of distributed energy resources in electrical distribution systems. Proceedings of the 2013 IEEE PES Conference on Innovative Smart Grid Technologies (ISGT Latin America), Sao Paulo, Brazil.","DOI":"10.1109\/ISGT-LA.2013.6554446"},{"key":"ref_24","unstructured":"Kotsalos, K., Silva, N., Miranda, I., and Leite, H. (2018, January 7\u20138). Scheduling of operation in Low Voltage distribution networks with multiple Distributed Energy Resources. Proceedings of the CIRED Workshop, Ljubljana, Slovenia."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"340","DOI":"10.1109\/TPWRS.2013.2279276","article-title":"Rolling Multi-Period Optimization to Control Electric Vehicle Charging in Distribution Networks","volume":"29","author":"Connell","year":"2014","journal-title":"IEEE Trans. Power Syst."},{"key":"ref_26","unstructured":"Campos, F., Marques, L., and Kotsalos, K. (2018, January 16\u201317). Electric Vehicle CPMS and Secondary Substation Management. Proceedings of the 8th Solar & 17th Wind Integration Workshop, Stockholm, Sweden."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/j.segan.2016.09.003","article-title":"Technical assessment of centralized and localized voltage control strategies in low voltage networks","volume":"8","author":"Efkarpidis","year":"2016","journal-title":"Sustain. Energy Grids Netw."},{"key":"ref_28","unstructured":"Sperstad, I.B., and Marthinsen, H. (2016). Optimal Power Flow Methods and Their Application to Distribution Systems with Energy Storage: A Survey of Available Tools and Methods, SINTEF. SINTEF Energi. Rapport."},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Sereeter, B., Vuik, K., and Witteveen, C. (2017). Newton Power Flow Methods for Unbalanced Three-Phase Distribution Networks. Energies, 10.","DOI":"10.3390\/en10101658"},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Karagiannopoulos, S., Aristidou, P., and Hug, G. (2017, January 18\u201322). Co-optimisation of Planning and Operation forActive Distribution Grids. Proceedings of the 2017 IEEE Manchester PowerTech, Manchester, UK.","DOI":"10.1109\/PTC.2017.7981112"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"438","DOI":"10.1016\/j.epsr.2016.07.030","article-title":"AC OPF in radial distribution networks\u2013Part I: On the limits of the branch flow convexification and the alternating direction method of multipliers","volume":"143","author":"Christakou","year":"2017","journal-title":"Electr. Power Syst. Res."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"1283","DOI":"10.1109\/TPWRS.2003.818597","article-title":"Power flow in four-wire distribution networks-general approach","volume":"18","author":"Ciric","year":"2003","journal-title":"IEEE Trans. Power Syst."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"671","DOI":"10.1109\/59.387902","article-title":"A three-phase power flow method for real-time distribution system analysis","volume":"10","author":"Cheng","year":"1995","journal-title":"IEEE Trans. Power Syst."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"2015","DOI":"10.1109\/TPWRS.2017.2728618","article-title":"Comprehensive Modeling of Three-Phase Distribution Systems via the Bus Admittance Matrix","volume":"33","author":"Bazrafshan","year":"2018","journal-title":"IEEE Trans. Power Syst."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"575","DOI":"10.1109\/61.127051","article-title":"Transformer modelling for distribution system studies. II. Addition of models to Y\/sub BUS\/and Z\/sub BUS","volume":"7","author":"Gorman","year":"1992","journal-title":"IEEE Trans. Power Deliv."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"753","DOI":"10.1109\/59.192932","article-title":"A compensation-based power flow method for weakly meshed distribution and transmission networks","volume":"3","author":"Shirmohammadi","year":"1988","journal-title":"IEEE Trans. Power Syst."},{"key":"ref_37","doi-asserted-by":"crossref","unstructured":"Kourounis, D., Fuchs, A., and Schenk, O. (2018). Towards the Next Generation of Multiperiod Optimal Power Flow Solvers. IEEE Trans. Power Syst.","DOI":"10.1109\/TPWRS.2017.2789187"},{"key":"ref_38","unstructured":"Nocedal, J., and Wright, S.J. (2006). Numerical Optimization, Springer. [2nd ed.]."},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"Zhu, J. (2015). Optimization of Power System Operation, John Wiley & Sons, Inc.","DOI":"10.1002\/9781118887004"},{"key":"ref_40","unstructured":"Wachter, A. (2003). An Interior Point Algorithm for Large-Scale Nonlinear Optimization with Applications in Process Engineering. [Ph.D. Thesis, Carnegie Mellon University]."},{"key":"ref_41","doi-asserted-by":"crossref","unstructured":"Hauswirth, A., Bolognani, S., Hug, G., and D\u00f6rfler, F. (arXiv, 2018). Generic Existence of Unique Lagrange Multipliers in AC Optimal Power Flow, arXiv.","DOI":"10.1109\/LCSYS.2018.2849598"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"1211","DOI":"10.1109\/59.736231","article-title":"An interior-point method for nonlinear optimal power flow using voltage rectangular coordinates","volume":"13","author":"Torres","year":"1998","journal-title":"IEEE Trans. Power Syst."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1007\/s10107-004-0559-y","article-title":"On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming","volume":"106","author":"Biegler","year":"2006","journal-title":"Math. Program."},{"key":"ref_44","unstructured":"Coleman, T., Branch, M.A., and Grace, A. (1999). Optimization toolbox. For Use with MATLAB. User\u2019s Guide for MATLAB 5, Version 2, Relaese II, MATLAB, MathWorks."},{"key":"ref_45","unstructured":"Zimmerman, R.D. (2010). AC Power Flows, Generalized OPF Costs and Their Derivatives Using Complex Matrix Notation, PSERC. Report."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"1172","DOI":"10.1080\/0740817X.2016.1189626","article-title":"An introduction to optimal power flow: Theory, formulation, and examples","volume":"48","author":"Frank","year":"2016","journal-title":"IIE Trans."},{"key":"ref_47","unstructured":"Wood, A.J., Wollenberg, B.F., and Shebl\u00e9, G.B. (2013). Power Generation, Operation, and Control, John Wiley & Sons. [3rd ed.]. book section 8."},{"key":"ref_48","unstructured":"Gilbert, J.C., and Josz, C. (2018, January 28). Plea for a Semidefinite Optimization Solver in Complex Numbers. Available online: https:\/\/hal.inria.fr\/hal-01497173\/document."},{"key":"ref_49","doi-asserted-by":"crossref","unstructured":"Baker, K., Hug, G., and Xin, L. (2011, January 4\u20136). Inclusion of inter-temporal constraints into a distributed Newton-Raphson method. Proceedings of the 2012 North American Power Symposium (NAPS), Boston, MA, USA.","DOI":"10.1109\/NAPS.2012.6336344"},{"key":"ref_50","doi-asserted-by":"crossref","unstructured":"Baker, K., Zhu, D., Hug, G., and Li, X. (2013, January 22\u201324). Jacobian singularities in optimal power flow problems caused by intertemporal constraints. Proceedings of the 2013 North American Power Symposium (NAPS), Manhattan, KS, USA.","DOI":"10.1109\/NAPS.2013.6666876"},{"key":"ref_51","unstructured":"Espinosa, A.N. (2015). Dissemination Document \u201cLow Voltage Networks Models and Low Carbon Technology Profiles\u201d, The University of Manchester."},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"248","DOI":"10.1016\/j.est.2016.02.001","article-title":"Energy storage systems in modern grids\u2014Matrix of technologies and applications","volume":"6","author":"Palizban","year":"2016","journal-title":"J. Energy Storage"},{"key":"ref_53","doi-asserted-by":"crossref","unstructured":"Os\u00f3rio, G., Shafie-khah, M., Coimbra, P., Lotfi, M., and Catal\u00e3o, J. (2018). Distribution system operation with electric vehicle charging schedules and renewable energy resources. Energies, 11.","DOI":"10.3390\/en11113117"},{"key":"ref_54","unstructured":"Efacec (2018, November 16). EV Homecharger. Available online: http:\/\/electricmobility.efacec.com\/wp-content\/uploads\/2016\/10\/CS195I1404C1_HC.pdf."},{"key":"ref_55","unstructured":"Survey, N.T. (2016). National Travel Survey: England 2016, Report."},{"key":"ref_56","doi-asserted-by":"crossref","unstructured":"Pedersen, R., Sloth, C., Andresen, G.B., and Wisniewski, R. (2015, January 15\u201317). DiSC: A simulation framework for distribution system voltage control. Proceedings of the 2015 European Control Conference (ECC), Linz, Austria.","DOI":"10.1109\/ECC.2015.7330680"},{"key":"ref_57","doi-asserted-by":"crossref","unstructured":"Richardson, P., Moran, M., Taylor, J., Maitra, A., and Keane, A. (2013, January 10\u201313). Impact of electric vehicle charging on residential distribution networks: An Irish demonstration initiative. Proceedings of the 22nd International Conference and Exhibition on Electricity Distribution (CIRED 2013), Stockholm, Sweden.","DOI":"10.1049\/cp.2013.0873"},{"key":"ref_58","doi-asserted-by":"crossref","unstructured":"Masetti, C. (2010, January 26\u201329). Revision of European Standard EN 50160 on power quality: Reasons and solutions. Proceedings of the 2010 14th International Conference on Harmonics and Quality of Power (ICHQP), Bergamo, Italy.","DOI":"10.1109\/ICHQP.2010.5625472"}],"container-title":["Energies"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1996-1073\/12\/6\/1182\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T12:40:47Z","timestamp":1760186447000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1996-1073\/12\/6\/1182"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,3,26]]},"references-count":58,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2019,3]]}},"alternative-id":["en12061182"],"URL":"https:\/\/doi.org\/10.3390\/en12061182","relation":{},"ISSN":["1996-1073"],"issn-type":[{"type":"electronic","value":"1996-1073"}],"subject":[],"published":{"date-parts":[[2019,3,26]]}}}