{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,2]],"date-time":"2026-06-02T03:31:43Z","timestamp":1780371103540,"version":"3.54.1"},"reference-count":25,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2021,10,8]],"date-time":"2021-10-08T00:00:00Z","timestamp":1633651200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51977123"],"award-info":[{"award-number":["51977123"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100014103","name":"Key Technology Research and Development Program of Shandong","doi-asserted-by":"publisher","award":["2019GGX103008"],"award-info":[{"award-number":["2019GGX103008"]}],"id":[{"id":"10.13039\/100014103","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Young Scholar Program of Shandong University","award":["2016WLJH07"],"award-info":[{"award-number":["2016WLJH07"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In recent years, the violation and fluctuation of system voltage has occurred with greater frequency with the integration of high-penetration distributed photovoltaic generation. In this paper, the voltage violation and fluctuation in a high-penetration distributed photovoltaic integrated system is analyzed, and then a corresponding suppression strategy is proposed. Firstly, based on solar cell and photovoltaic control system models, the influence factors of photovoltaic output are analyzed. Secondly, the voltage violation and fluctuation caused by photovoltaic integration is analyzed, and the quadratic parabola relationship between bus voltage fluctuation and photovoltaic power variation is constructed. Next, according to the virtual synchronous generator characteristic of distributed photovoltaics, a double-hierarchical suppression strategy is proposed to make full use of reactive power regulation capability, which can maintain the symmetry of power supply while meeting standard requirements. The proposed strategy can conveniently realize quick response and support the photovoltaic extensive access. Moreover, with the employment of the proposal, the system voltage violation and fluctuation can be suppressed effectively. Finally, considering the photovoltaic access location, capacity, and partial shading, the effectiveness of the proposed strategy is verified in IEEE 33-bus distribution system with field measured data. After distributed photovoltaic accesses the system, more than 60% of buses appear to have undergone bus voltage violation. With the proposed method, more than 20% of the voltage deviation and more than 6% of the voltage fluctuation are effectively suppressed so that the system voltage can be kept below 1.07 p.u. and the voltage fluctuation can be kept within 4%, meeting the requirements of power quality standards.<\/jats:p>","DOI":"10.3390\/sym13101894","type":"journal-article","created":{"date-parts":[[2021,10,11]],"date-time":"2021-10-11T01:59:47Z","timestamp":1633917587000},"page":"1894","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Analysis and Suppression of Voltage Violation and Fluctuation with Distributed Photovoltaic Integration"],"prefix":"10.3390","volume":"13","author":[{"given":"Yahui","family":"Li","sequence":"first","affiliation":[{"name":"School of Electrical Engineering, Shandong University, Jinan 250061, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuanyuan","family":"Sun","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering, Shandong University, Jinan 250061, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7255-9044","authenticated-orcid":false,"given":"Kejun","family":"Li","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering, Shandong University, Jinan 250061, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jingru","family":"Zhuang","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering, Shandong University, Jinan 250061, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yongliang","family":"Liang","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering, Shandong University, Jinan 250061, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yanqing","family":"Pang","sequence":"additional","affiliation":[{"name":"Shandong Taikai Robot Co., Ltd., Taian 271000, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2021,10,8]]},"reference":[{"key":"ref_1","unstructured":"(2018, December 20). Renewable Energies Offer the Way Ahead, Available online: http:\/\/english.www.gov.cn\/news\/top_news\/2018\/12\/20\/content_281476443537100.htm."},{"key":"ref_2","unstructured":"(2020, September 20). 2030 Climate and Energy Framework. Available online: https:\/\/ec.europa.eu\/clima\/policies\/strategies\/2030_en."},{"key":"ref_3","unstructured":"(2020, February 03). Annual Energy Outlook 2021, Available online: https:\/\/www.eia.gov\/outlooks\/aeo."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Wang, C.-N., Dang, T.-T., Tibo, H., and Duong, D.-H. (2021). Assessing Renewable energy production capabilities using DEA window and fuzzy TOPSIS model. Symmetry, 13.","DOI":"10.3390\/sym13020334"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Preda, S., Oprea, S.-V., B\u00e2ra, A., and Belciu, A. (2018). PV forecasting using support vector machine learning in a big data analytics context. Symmetry, 10.","DOI":"10.3390\/sym10120748"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"116764","DOI":"10.1016\/j.apenergy.2021.116764","article-title":"Electrical and gas networks coupling through hydrogen blending under increasing distributed photovoltaic generation","volume":"290","author":"Cavana","year":"2021","journal-title":"Appl Energy"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"126199","DOI":"10.1016\/j.jclepro.2021.126199","article-title":"Choice of the distributed photovoltaic power generation operating mode for a manufacturing enterprise: Surrounding users vs a power grid","volume":"293","author":"Lin","year":"2021","journal-title":"J. Clean. Prod."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"96","DOI":"10.1016\/j.rser.2018.02.007","article-title":"Intermittent and stochastic character of renewable energy sources: Consequences, cost of intermittence and benefit of forecasting","volume":"87","author":"Notton","year":"2018","journal-title":"Renew. Sust. Energ. Rev."},{"key":"ref_9","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_10","doi-asserted-by":"crossref","first-page":"6306","DOI":"10.3390\/en7106306","article-title":"Fast Frequency Response Capability of Photovoltaic Power Plants: The Necessity of New Grid Requirements and Definitions","volume":"7","author":"Rahmann","year":"2014","journal-title":"Energies"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"294","DOI":"10.1109\/TSTE.2018.2890621","article-title":"Double-time-scale coordinated voltage control in active distribution networks based on MPC","volume":"11","author":"Guo","year":"2020","journal-title":"IEEE Trans. Sustain. Energy"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Liu, Y.-W., Feng, H., Li, H.-Y., and Li, L.-L. (2021). An improved whale algorithm for support vector machine prediction of photovoltaic power generation. Symmetry, 13.","DOI":"10.3390\/sym13020212"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1013","DOI":"10.1109\/TSTE.2014.2327122","article-title":"Optimal generation dispatch with high penetration of photovoltaic generation","volume":"6","author":"Eftekharnejad","year":"2015","journal-title":"IEEE Trans. Sustain. Energy"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"3909","DOI":"10.1109\/TSG.2018.2807987","article-title":"Adaptive control of micro-grid security","volume":"9","author":"Teimourzadeh","year":"2018","journal-title":"IEEE Trans. Smart Grid"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"672","DOI":"10.1109\/TEC.2019.2954596","article-title":"Improved virtual synchronous generator control of DFIG to ride-through symmetrical voltage fault","volume":"35","author":"Nian","year":"2020","journal-title":"IEEE Trans. Energy Convers."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1187","DOI":"10.1016\/j.jclepro.2018.05.059","article-title":"Sustainable planning of hybrid micro-grid towards minimizing environmental pollution, operational cost and frequency fluctuations","volume":"203","author":"Tabar","year":"2018","journal-title":"J. Clean. Prod."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"116389","DOI":"10.1016\/j.energy.2019.116389","article-title":"A frequency control strategy of electric vehicles in microgrid using virtual synchronous generator control","volume":"189","author":"Li","year":"2019","journal-title":"Energy"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"6289","DOI":"10.1109\/TPWRS.2018.2850880","article-title":"Robust frequency control of microgrids using an extended virtual synchronous generator","volume":"33","author":"Fathi","year":"2018","journal-title":"IEEE Trans. Power Syst."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"3209","DOI":"10.1109\/TPWRS.2019.2896149","article-title":"Power system small-signal angular stability affected by virtual synchronous generators","volume":"34","author":"Du","year":"2019","journal-title":"IEEE Trans. Power Syst."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Li, L., Li, H., Tseng, M.-L., Feng, H., and Chiu, A.S.F. (2020). Renewable energy system on frequency stability control strategy using virtual synchronous generator. Symmetry, 12.","DOI":"10.3390\/sym12101697"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1481","DOI":"10.1109\/TSTE.2019.2892670","article-title":"Impedance analysis of virtual synchronous generator-based vector controlled converters for weak AC grid integration","volume":"10","author":"Asrari","year":"2019","journal-title":"IEEE Trans. Sustain. Energy"},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"2479","DOI":"10.1109\/TPWRS.2019.2896853","article-title":"Parameter constraints for virtual synchronous generator considering stability","volume":"34","author":"Chen","year":"2019","journal-title":"IEEE Trans. Power Syst."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1018","DOI":"10.1016\/j.rser.2015.10.068","article-title":"Maximum power point tracking (MPPT) techniques: Recapitulation in solar photovoltaic systems","volume":"54","author":"Verma","year":"2016","journal-title":"Renew. Sust. Energ. Rev."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Basha, C.H., and Rani, C. (2020). Different Conventional and soft computing MPPT techniques for solar PV systems with high step-up Boost converters: A comprehensive analysis. Energies, 13.","DOI":"10.3390\/en13020371"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"1401","DOI":"10.1109\/61.25627","article-title":"Network reconfiguration in distribution systems for loss reduction and load balancing","volume":"4","author":"Baran","year":"1989","journal-title":"IEEE Trans. Power Deliv."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/13\/10\/1894\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T07:10:30Z","timestamp":1760166630000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/13\/10\/1894"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,10,8]]},"references-count":25,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2021,10]]}},"alternative-id":["sym13101894"],"URL":"https:\/\/doi.org\/10.3390\/sym13101894","relation":{},"ISSN":["2073-8994"],"issn-type":[{"value":"2073-8994","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,10,8]]}}}