{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T22:37:29Z","timestamp":1772836649218,"version":"3.50.1"},"reference-count":39,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2018,9,17]],"date-time":"2018-09-17T00:00:00Z","timestamp":1537142400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Energies"],"abstract":"<jats:p>This paper presents a synchronous resonant control strategy based on the inherent characteristics of permanent magnet synchronous generators (PMSG) for the control of power converters to provide stable operating conditions for the power grid under high penetration of renewable energy resources (RERs). The proposed control technique is based on the small signal linearization of a dynamic model with grid specifications, load-current-based voltages, and power converter currents. A combination of the linearized dynamic model with the PMSG swing equation and resonant controller leads to a control technique with synchronous features and appropriate inertia for the control of converter-based power generators. As the main contribution of this work, an extra functionality is proposed in the control loop of the proposed model to solve the inherent inconveniences of conventional synchronous generators. Also, a comprehensive collaboration between interfaced converter specifications and PMSG features is achieved as another contribution of the proposed control technique, and this can guarantee accurate performance under various conditions. A current perturbation curve is introduced to assess the variations of the grid frequency and voltage magnitude under operation of the interfaced converters controlled by the proposed control technique. Moreover, by taking into account the load-based voltages, the effects of the current perturbation components are investigated. The proposed model is simulated in MATLAB\/Simulink environment to verify the high performance of the proposed control technique over the other existing control methods.<\/jats:p>","DOI":"10.3390\/en11092469","type":"journal-article","created":{"date-parts":[[2018,9,17]],"date-time":"2018-09-17T10:42:20Z","timestamp":1537180940000},"page":"2469","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":18,"title":["Synchronous Resonant Control Technique to Address Power Grid Instability Problems Due to High Renewables Penetration"],"prefix":"10.3390","volume":"11","author":[{"given":"Majid","family":"Mehrasa","sequence":"first","affiliation":[{"name":"C-MAST, University of Beira Interior, 6201-001 Covilh\u00e3, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2217-5293","authenticated-orcid":false,"given":"Edris","family":"Pouresmaeil","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Automation, Aalto University, 02150 Espoo, Finland"}]},{"given":"Bahram","family":"Pournazarian","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Automation, Aalto University, 02150 Espoo, Finland"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8994-9594","authenticated-orcid":false,"given":"Amir","family":"Sepehr","sequence":"additional","affiliation":[{"name":"Department of Electrical Engineering and Automation, Aalto University, 02150 Espoo, Finland"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3482-609X","authenticated-orcid":false,"given":"Mousa","family":"Marzband","sequence":"additional","affiliation":[{"name":"Faculty of Engineering and Environment, Department of Physics and Electrical Engineering, Northumbria University Newcastle, Newcastle NE1 8ST, UK"}]},{"given":"Jo\u00e3o P. S.","family":"Catal\u00e3o","sequence":"additional","affiliation":[{"name":"C-MAST, University of Beira Interior, 6201-001 Covilh\u00e3, Portugal"},{"name":"INESC TEC and the Faculty of Engineering, University of Porto, 4200-465 Porto, Portugal"},{"name":"INESC-ID, Instituto Superior T\u00e9cnico, University of Lisbon, 1049-001 Lisbon, Portugal"}]}],"member":"1968","published-online":{"date-parts":[[2018,9,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"680","DOI":"10.1049\/ip-cta:20000803","article-title":"Passivity\/sliding mode control of a stand-alone hybrid generation system","volume":"147","author":"Valenciaga","year":"2000","journal-title":"IEE Proc.\u2014Control Theory Appl."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"484","DOI":"10.1049\/iet-rpg.2014.0271","article-title":"Power management of an isolated hybrid AC\/DC micro-grid with fuzzy control of battery banks","volume":"9","author":"Hosseinzadeh","year":"2015","journal-title":"IET Renew. Power Gener."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"675","DOI":"10.1109\/TSTE.2015.2405935","article-title":"Robust optimal power management system for a hybrid AC\/DC micro-grid","volume":"6","author":"Hosseinzadeh","year":"2015","journal-title":"IEEE Trans. Sustain. Energy"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Hosseinzadeh, M., and Salmasi, F.R. (2016). Analysis and detection of a wind system failure in a micro-grid. J. Renew. Sustain. Energy, 8.","DOI":"10.1063\/1.4960190"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1016\/j.energy.2015.12.075","article-title":"A control strategy for the stable operation of shunt active power filters in power grids","volume":"96","author":"Mehrasa","year":"2016","journal-title":"Energy"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Pouresmaeil, E., Mehrasa, M., Shokridehaki, M.A., Rodrigues, E.M.G., and Catalao, J.P.S. (2015, January 8\u201311). Control and stability analysis of interfaced converter in distributed generation technology. Proceedings of the IEEE EUROCON 2015\u2014International Conference on Computer as a Tool (EUROCON), Salamanca, Spain.","DOI":"10.1109\/EUROCON.2015.7313762"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Pouresmaeil, E., Mehrasa, M., Erdinc, O., and Catalao, J.P.S. (2014, January 12\u201315). A control algorithm for the stable operation of interfaced converters in microgrid systems. Proceedings of the IEEE PES Innovative Smart Grid Technologies, Istanbul, Turkey.","DOI":"10.1109\/ISGTEurope.2014.7028814"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"5063","DOI":"10.1109\/TPEL.2013.2243758","article-title":"Modular multilevel inverter with new modulation method and its application to photovoltaic grid-connected generator","volume":"28","author":"Mei","year":"2013","journal-title":"IEEE Trans. Power Electron."},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Pouresmaeil, E., Mehrasa, M., Shokridehaki, M.A., Rodrigues, E.M.G., and Catalao, J.P.S. (2015, January 17\u201319). Control of modular multilevel converters for integration of distributed generation sources into the power grid. Proceedings of the IEEE International Conference on Smart Energy Grid Engineering (SEGE), Oshawa, ON, Canada.","DOI":"10.1109\/SEGE.2015.7324575"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"3109","DOI":"10.1109\/TIE.2013.2279128","article-title":"Real-time emulation of a high-speed microturbine permanent-magnet synchronous generator using multiplatform hardware-in-the-loop realization","volume":"61","author":"Hasanzadeh","year":"2014","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Griffo, A., and Drury, D. (2012). Hardware in the loop emulation of synchronous generators for aircraft power systems. Electr. Syst. Aircr. Railw. Ship Propuls. (ESARS).","DOI":"10.1109\/ESARS.2012.6387388"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1109\/TEC.2006.875447","article-title":"Variable structure control of a wind energy conversion system based on a brushless doubly fed reluctance generator","volume":"22","author":"Valencia","year":"2007","journal-title":"IEEE Trans. Energy Convers."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"448","DOI":"10.1049\/ip-cta:20010785","article-title":"Power control of a photovoltaic array in a hybrid electric generation system using sliding mode techniques","volume":"148","author":"Valencia","year":"2001","journal-title":"IEE Proc. Control Theory Appl."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1109\/TCST.2015.2420674","article-title":"Double integral sliding mode MPPT control of a photovoltaic system","volume":"24","author":"Pradhan","year":"2016","journal-title":"IEEE Trans. Control Syst. Technol."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"14","DOI":"10.1016\/j.simpat.2016.01.011","article-title":"Determination of maximum solar power under shading and converter faults\u2014A prerequisite for failure-tolerant power management systems","volume":"62","author":"Hosseinzadeh","year":"2016","journal-title":"Simul. Model. Pract. Theory"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"833","DOI":"10.1109\/TEC.2014.2362577","article-title":"Self-tuning virtual synchronous machine: A control strategy for energy storage systems to support dynamic frequency control","volume":"29","author":"Torres","year":"2014","journal-title":"IEEE Trans. Energy Convers"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1016\/j.epsr.2015.01.001","article-title":"A virtual synchronous machine implementation for distributed control of power converters in smart grids","volume":"122","author":"Suul","year":"2015","journal-title":"Electric Power Syst Res."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"41458","DOI":"10.1109\/ACCESS.2018.2838563","article-title":"Reactive power management in renewable rich power grids: A review of grid-codes, renewable generators, support devices, control strategies and optimization algorithms","volume":"6","author":"Sarkar","year":"2018","journal-title":"IEEE Access"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"314","DOI":"10.1016\/j.energy.2014.01.042","article-title":"Dynamic operation and control of microgrid hybrid power systems","volume":"66","author":"Ou","year":"2014","journal-title":"Energy"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"270","DOI":"10.1016\/j.energy.2012.12.017","article-title":"Development of intelligent MPPT (maximum power point tracking) control for a grid-connected hybrid power generation system","volume":"50","author":"Hong","year":"2013","journal-title":"Energy"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1244","DOI":"10.1016\/j.enconman.2010.09.020","article-title":"Hybrid intelligent control of PMSG wind generation system using pitch angle control with RBFN","volume":"52","author":"Lin","year":"2011","journal-title":"Energy Convers. Manag."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Ou, T.C., Lu, K.H., and Huang, C.J. (2017). Improvement of transient stability in a hybrid power multi-system using a designed NIDC (Novel Intelligent Damping Controller). Energies, 10.","DOI":"10.3390\/en10040488"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1017","DOI":"10.1016\/j.ijepes.2012.05.012","article-title":"A novel unsymmetrical faults analysis for microgrid distribution systems","volume":"43","author":"Ou","year":"2012","journal-title":"Int. J. Electr. Power Energy Syst."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"867","DOI":"10.1016\/j.ijepes.2013.06.005","article-title":"Ground fault current analysis with a direct building algorithm for microgrid distribution","volume":"53","author":"Ou","year":"2013","journal-title":"Int. J. Electr. Power Energy Syst."},{"key":"ref_25","doi-asserted-by":"crossref","unstructured":"Lyu, X., Zhao, J., Jia, Y., Xu, Z., and Wong, K.P. (2018). Coordinated control strategies of PMSG-based wind turbine for smoothing power fluctuations. IEEE Trans. Power Syst.","DOI":"10.1109\/TPWRS.2018.2866629"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"944","DOI":"10.1109\/TSG.2013.2287874","article-title":"Management of battery-supercapacitor hybrid energy storage and synchronous condenser for isolated operation of PMSG based variable-speed wind turbine generating systems","volume":"5","author":"Mendis","year":"2014","journal-title":"IEEE Trans. Smart Grid"},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Li, M., Wang, Y., Xu, N., Liu, Y., Wang, W., Wang, H., and Lei, W. (2016, January 18\u201322). A novel virtual synchronous generator control strategy based on improved swing equation emulating and power decoupling method. Proceedings of the 2016 IEEE Energy Conversion Congress and Exposition (ECCE), Milwaukee, WI, USA.","DOI":"10.1109\/ECCE.2016.7854751"},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Mehrasa, M., Gordina, R., Pouresmaeil, E., Vechiu, I., Rodrigues, R.L., and Catalao, J.P.S. (2017, January 26\u201329). Synchronous active proportional resonant-based control technique for high penetration of distributed generation units into power grids. Proceedings of the 2017 IEEE PES Innovative Smart Grid Technologies Conference Europe (ISGT-Europe), Torino, Italy.","DOI":"10.1109\/ISGTEurope.2017.8260221"},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Pouresmaeil, E., Mehrasa, M., Gordina, R., Vechiu, I., Rodrigues, R.L., and Catalao, J.P.S. (2017, January 26\u201329). Double synchronous controller for integration of large-scale renewable energy sources into a low-inertia power grid. Proceedings of the 2017 IEEE PES Innovative Smart Grid Technologies Conference Europe (ISGT-Europe), Torino, Italy.","DOI":"10.1109\/ISGTEurope.2017.8260220"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"1462","DOI":"10.1109\/TSG.2016.2592508","article-title":"Stability assessment and optimization methods for microgrid with multiple VSG units","volume":"9","author":"Alipoor","year":"2016","journal-title":"IEEE Trans. Smart Grid"},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Hou, X., Han, H., Zhong, C., Yuan, W., Yi, M., and Chen, Y. (2016, January 18\u201322). Improvement of transient stability in inverter-based AC microgrid via adaptive virtual inertia. Proceedings of the 2016 IEEE Energy Conversion Congress and Exposition (ECCE), Milwaukee, WI, USA.","DOI":"10.1109\/ECCE.2016.7855195"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"1086","DOI":"10.1109\/TSG.2016.2576405","article-title":"Distributed control of voltage regulating devices in the presence of high PV penetration to mitigate ramp-rate issues","volume":"9","author":"Chamana","year":"2018","journal-title":"IEEE Trans. Smart Grid"},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Arricibita, D., Sanchis, P., and Marroyo, L. (2016, January 23\u201326). Virtual synchronous generators classification and common trends. Proceedings of the IECON 2016\u201442nd Annual Conference of the IEEE Industrial Electronics Society, Florence, Italy.","DOI":"10.1109\/IECON.2016.7793025"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"1259","DOI":"10.1109\/TIE.2010.2048839","article-title":"Synchronverters: inverters that mimic synchronous generators","volume":"58","author":"Zhong","year":"2011","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_35","doi-asserted-by":"crossref","unstructured":"Tan, S., Lv, Q., Geng, H., and Yang, G. (2016, January 23\u201326). An equivalent synchronous generator model for current-controlled voltage source converters considering the dynamic of phase-locked-loop. Proceedings of the IECON 2016\u201442nd Annual Conference of the IEEE Industrial Electronics Society, Florence, Italy.","DOI":"10.1109\/IECON.2016.7792983"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"3093","DOI":"10.1109\/TPWRS.2014.2384498","article-title":"Synchronous generator emulation control strategy for voltage source converter (VSC) stations","volume":"30","author":"Guan","year":"2015","journal-title":"IEEE Trans. Power Syst."},{"key":"ref_37","doi-asserted-by":"crossref","unstructured":"Anzalchi, A., MalekPour, M., and Sarwat, A. (2016, January 17\u201321). A combinatorial approach for addressing intermittency and providing inertial response in a grid-connected photovoltaic system. Proceedings of the 2016 IEEE Power and Energy Society General Meeting (PESGM), Boston, MA, USA.","DOI":"10.1109\/PESGM.2016.7742056"},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"394","DOI":"10.1109\/TSG.2013.2288000","article-title":"Equivalence of virtual synchronous machines and frequency-droops for converter-based microgrids","volume":"5","author":"Arco","year":"2014","journal-title":"IEEE Trans. Smart Grid"},{"key":"ref_39","doi-asserted-by":"crossref","unstructured":"Laudahn, S., Seidel, J., Engel, B., B\u00fclo, T., and Premm, D. (2016, January 27\u201330). Substitution of synchronous generator based instantaneous frequency control utilizing inverter-coupled DER. Proceedings of the 2016 IEEE 7th International Symposium on Power Electronics for Distributed Generation Systems (PEDG), Vancouver, BC, Canada.","DOI":"10.1109\/PEDG.2016.7527020"}],"container-title":["Energies"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1996-1073\/11\/9\/2469\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T15:20:58Z","timestamp":1760196058000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1996-1073\/11\/9\/2469"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,9,17]]},"references-count":39,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2018,9]]}},"alternative-id":["en11092469"],"URL":"https:\/\/doi.org\/10.3390\/en11092469","relation":{},"ISSN":["1996-1073"],"issn-type":[{"value":"1996-1073","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,9,17]]}}}