{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,21]],"date-time":"2025-11-21T06:18:43Z","timestamp":1763705923441,"version":"build-2065373602"},"reference-count":38,"publisher":"MDPI AG","issue":"20","license":[{"start":{"date-parts":[[2020,10,14]],"date-time":"2020-10-14T00:00:00Z","timestamp":1602633600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100012329","name":"European Association of National Metrology Institutes","doi-asserted-by":"publisher","award":["17IND06"],"award-info":[{"award-number":["17IND06"]}],"id":[{"id":"10.13039\/100012329","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The accuracy evaluation of instrument transformers is always a key task when proper control and management of the power network is required. In particular, accuracy becomes a critical aspect when the grid or the instrumentation itself is operating at conditions different from the rated ones. However, before focusing on the above non-rated conditions, it is important to fully understand the instrument transformer behavior at rated conditions. To this end, this work analyzed the accuracy behavior of legacy, inductive, and low-power voltage transformers over long periods of time. The aim was to find patterns and correlations that may be of help during the modelling or the output prediction of voltage transformers. From the results, the main differences between low-power and inductive voltage transformers were pointed out and described in detail.<\/jats:p>","DOI":"10.3390\/s20205810","type":"journal-article","created":{"date-parts":[[2020,10,14]],"date-time":"2020-10-14T21:24:39Z","timestamp":1602710679000},"page":"5810","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["On the Long-Period Accuracy Behavior of Inductive and Low-Power Instrument Transformers"],"prefix":"10.3390","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1739-1277","authenticated-orcid":false,"given":"Alessandro","family":"Mingotti","sequence":"first","affiliation":[{"name":"Department of Electrical, Electronic and Information Engineering, Guglielmo Marconi Alma Mater Studiorum, University of Bologna, Viale del Risorgimento 2, 40136 Bologna, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lorenzo","family":"Bartolomei","sequence":"additional","affiliation":[{"name":"Department of Electrical, Electronic and Information Engineering, Guglielmo Marconi Alma Mater Studiorum, University of Bologna, Viale del Risorgimento 2, 40136 Bologna, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3407-2056","authenticated-orcid":false,"given":"Lorenzo","family":"Peretto","sequence":"additional","affiliation":[{"name":"Department of Electrical, Electronic and Information Engineering, Guglielmo Marconi Alma Mater Studiorum, University of Bologna, Viale del Risorgimento 2, 40136 Bologna, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5377-2421","authenticated-orcid":false,"given":"Roberto","family":"Tinarelli","sequence":"additional","affiliation":[{"name":"Department of Electrical, Electronic and Information Engineering, Guglielmo Marconi Alma Mater Studiorum, University of Bologna, Viale del Risorgimento 2, 40136 Bologna, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,10,14]]},"reference":[{"key":"ref_1","unstructured":"(2020, September 03). Our Vision for a Clean Planet for All. Available online: https:\/\/ec.europa.eu\/clima\/sites\/clima\/files\/docs\/pages\/vision_1_emissions_en.pdf."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Aggarwal, A., Das, N., Arora, M., and Tripathi, M.M. (2019, January 23\u201326). A novel hybrid architecture for classification of power quality disturbances. Presented at the 2019 6th International Conference on Control, Decision and Information Technologies (CoDIT 2019), Paris, France.","DOI":"10.1109\/CoDIT.2019.8820557"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Mohammadi, M., Afrasiabi, M., Afrasiabi, S., and Parang, B. (2019, January 11\u201314). Detection and classification of multiple power quality disturbances based on temporal deep learning. Presented at the 2019 IEEE International Conference on Environment and Electrical Engineering and 2019 IEEE Industrial and Commercial Power Systems Europe (EEEIC\/I and CPS Europe), Genova, Italy.","DOI":"10.1109\/EEEIC.2019.8783378"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Xin, K., Duan, B., and Qu, X. (2019, January 14\u201317). Classification for multiple power quality disturbances based on deep forest. Presented at the IECON Proceedings (Industrial Electronics Conference), Lisbon, Portugal.","DOI":"10.1109\/IECON.2019.8926759"},{"key":"ref_5","first-page":"188","article-title":"Identification of multiple power quality disturbances based on the improved s-transform and wavelet transform energy distribution","volume":"9","author":"Zhao","year":"2018","journal-title":"J. Inf. Hiding Multimed. Signal Process."},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Crotti, G., Giordano, D., D\u2019Avanzo, G., Femine, A.D., Gallo, D., Landi, C., and Palladini, D. (2020, January 25\u201328). Measurement of dynamic voltage variation effect on instrument transformers for power grid applications. Presented at the I2MTC 2020\u2014International Instrumentation and Measurement Technology Conference, Dubrovnik, Croatia.","DOI":"10.1109\/I2MTC43012.2020.9129354"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Mingotti, A., Peretto, L., Tinarelli, R., and Zhang, J. (2019, January 4\u20136). Use of COMTRADE fault current data to test inductive current transformers. Presented at the 2019 IEEE International Workshop on Metrology for Industry 4.0 and IoT, MetroInd 4.0 and IoT, Naples, Italy.","DOI":"10.1109\/METROI4.2019.8792871"},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Seo, H.C., and Kim, C.H. (2008, January 20\u201324). The analysis of power quality effects from the transformer inrush current: A case study of the jeju power system, Korea. Presented at the IEEE Power and Energy Society 2008 General Meeting: Conversion and Delivery of Electrical Energy in the 21st Century (PES), Pittsburgh, PA, USA.","DOI":"10.1109\/PES.2008.4596173"},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Draxler, K., and Styblikov\u00e1, R. (2007, January 4\u20137). Influence of instrument transformers on quality of electrical power and energy measurement. Presented at the IEEE International Symposium on Industrial Electronics, Vigo, Spain.","DOI":"10.1109\/ISIE.2007.4374790"},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Kezunovic, M., Portillo, L., Karady, G., and Kucuksari, S. (2006, January 15\u201318). Impact of optical instrument transformer characteristics on the performance of protective relays and power quality meters. Presented at the 2006 IEEE PES Transmission and Distribution Conference and Exposition: Latin America (TDC\u201906), Caracas, Venezuela.","DOI":"10.1109\/TDCLA.2006.311597"},{"key":"ref_11","unstructured":"Kaczmarek, M., and Nowicz, R. (2010, January 20\u201322). Application of instrument transformers in power quality assessment. Presented at the International Symposium: Modern Electric Power Systems (MEPS\u201910), Wroclaw, Poland."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Bartolomei, L., Mingotti, A., Pasini, G., Peretto, L., Rinaldi, P., Tinarelli, R., and Puddu, L. (2018, January 3\u20136). Performance evaluation of an energy meter for low-voltage system monitoring. Proceedings of the 22nd World Congress of the International Measurement Confederation (IMEKO), Belfast, UK.","DOI":"10.1088\/1742-6596\/1065\/5\/052032"},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Das, H., and Saikia, L.C. (2017, January 26\u201327). Ethernet based smart energy meter for power quality monitoring and enhancement. Presented at the 2017 Recent Developments in Control, Automation and Power Engineering (RDCAPE 2017), Noida, India.","DOI":"10.1109\/RDCAPE.2017.8358264"},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Palacios-Garcia, E.J., Rodriguez-Diaz, E., Anvari-Moghaddam, A., Savaghebi, M., Vasquez, J.C., Guerrero, J.M., and Moreno-Munoz, A. (2017, January 19\u201321). Using smart meters data for energy management operations and power quality monitoring in a microgrid. Presented at the IEEE International Symposium on Industrial Electronics, Edinburgh, UK.","DOI":"10.1109\/ISIE.2017.8001508"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1109\/MELE.2014.2364731","article-title":"Selecting the best electric machines for electrical power-generation systems: High-performance solutions for aerospace more electric architectures","volume":"2","author":"Ganev","year":"2014","journal-title":"IEEE Electrif. Mag."},{"key":"ref_16","unstructured":"Masoum, M.A.S., and Fuchs, E.F. (2015). Power Quality in Power Systems and Electrical Machines, Academic Press. [2nd ed.]."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Peretto, L., Tinarelli, R., Ghaderi, A., Mingotti, A., Mazzanti, G., Valtorta, G., and Danesi, S. (2018, January 21\u201324). Monitoring cable current and laying environment parameters for assessing the aging rate of MV cable joint insulation. Presented at the Annual Report\u2014Conference on Electrical Insulation and Dielectric Phenomena (CEIDP), Cancun, Mexico.","DOI":"10.1109\/CEIDP.2018.8544904"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Bhattacharyya, S., Chakraborty, A., Saha, B., and Chatterjee, S. (2016, January 21\u201323). Electric stress analysis of a medium voltage cable termination subjected to standard and non-standard lightning impulse voltages. Presented at the 2016 International Conference on Intelligent Control, Power and Instrumentation (ICICPI), Kolkata, India.","DOI":"10.1109\/ICICPI.2016.7859696"},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Patel, U., and Jayaram, S.H. (2012, January 14\u201317). Impact of poor power quality on stress grading system of cable termination. Presented at the Annual Report\u2014Conference on Electrical Insulation and Dielectric Phenomena (CEIDP), Montreal, QC, Canada.","DOI":"10.1109\/CEIDP.2012.6378820"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"600","DOI":"10.1109\/TIM.2017.2779328","article-title":"Accuracy evaluation of an equivalent synchronization method for assessing the time reference in power networks","volume":"67","author":"Mingotti","year":"2018","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Murray, R., and De Kock, J. (2018, January 7\u20139). Instrument transformers influence on harmonic measurements for grid code compliance. Presented at the 2018 IEEE 4th Global Electromagnetic Compatibility Conference (GEMCCon), Stellenbosch, South Africa.","DOI":"10.1109\/GEMCCON.2018.8628498"},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Mingotti, A., Peretto, L., and Tinarelli, R. (2017, January 20\u201322). An equivalent synchronization for phasor measurements in power networks. Presented at the AMPS 2017\u2014IEEE International Workshop on Applied Measurements for Power Systems, Liverpool, UK.","DOI":"10.1109\/AMPS.2017.8078338"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1184","DOI":"10.1109\/TPWRD.2013.2288265","article-title":"The moisture in SF6 insulated CTs considering current and change of ambient temperature","volume":"29","author":"Ren","year":"2014","journal-title":"IEEE Trans. Power Deliv."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"322","DOI":"10.4028\/www.scientific.net\/AMM.416-417.322","article-title":"Study on condensation of the moisture in current transformers with current flow considering sharp temperature decrease","volume":"241\u2013244","author":"Yan","year":"2013","journal-title":"Appl. Mech. Mater."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"2582","DOI":"10.1109\/TPWRD.2017.2725381","article-title":"Improvement of the insulation system of unconventional combined instrument transformer using 3-d electric-field analysis","volume":"33","author":"Lesniewska","year":"2018","journal-title":"IEEE Trans. Power Deliv."},{"key":"ref_26","first-page":"37","article-title":"Electric field analysis and optimal design of main insulation for oil-immersed inverted current transformers","volume":"29","author":"Yan","year":"2014","journal-title":"Diangong Jishu Xuebao\/Trans. China Electrotech. Soc."},{"key":"ref_27","unstructured":"Youhua, G., Dan, G., Yanbin, L., Shuqiu, G., and Guogang, W. (2008, January 17\u201320). Improvement of main insulation structure for 110 kV electric power transformer based on electric field analysis. Presented at the 11th International Conference on Electrical Machines and Systems (ICEMS), Wuhan, China."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"97614","DOI":"10.1109\/ACCESS.2019.2930007","article-title":"A new online temperature compensation technique for electronic instrument transformers","volume":"7","author":"Li","year":"2019","journal-title":"IEEE Access"},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Sivan, V., Robalino, D.M., and Mahajan, S.M. (October, January 30). Measurement of temperature gradients inside a medium voltage current transformer. Presented at the 2007 39th North American Power Symposium (NAPS), Las Cruces, NM, USA.","DOI":"10.1109\/NAPS.2007.4402317"},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Mingotti, A., Peretto, L., Tinarelli, R., and Ghaderi, A. (2018, January 3\u20136). Uncertainty sources analysis of a calibration system for the accuracy vs. temperature verification of voltage transformers. Proceedings of the 22nd World Congress of the International Measurement Confederation (IMEKO), Belfast, UK.","DOI":"10.1088\/1742-6596\/1065\/5\/052041"},{"key":"ref_31","unstructured":"IEC 61869-1: 2010 (2010). Instrument Transformers\u2014Part 1: General Requirements, International Standardization Organization."},{"key":"ref_32","unstructured":"IEC 61869-6:2016 (2016). Instrument Transformers\u2014Part 6: Additional General Requirements for Low-Power Instrument Transformers, International Standardization Organization."},{"key":"ref_33","unstructured":"IEC 61869-2:2012 (2012). Instrument Transformers\u2014Part 2: Additional Requirements for Current Transformers, International Standardization Organization."},{"key":"ref_34","unstructured":"IEC 61869-3:2011 (2011). Instrument Transformers\u2014Part 3: Additional Requirements for Inductive Voltage Transformers, International Standardization Organization."},{"key":"ref_35","unstructured":"IEC 61869-10:2018 (2018). Instrument Transformers\u2014Part 10: Additional Requirements for Low-Power Passive Current Transformers, International Standardization Organization."},{"key":"ref_36","unstructured":"IEC 61869-11:2018 (2018). Instrument Transformers\u2014Part 11: Additional Requirements for Low-Power Passive Voltage Transformers, International Standardization Organization."},{"key":"ref_37","unstructured":"BS EN 50160:2010+A1:2015 Voltage Characteristics of Electricity Supplied by Public Electricity Networks, BSI Standards Publication."},{"key":"ref_38","unstructured":"IEEE Std. 519-2014 (2014). Recommended Practice and Requirements for Harmonic Control in Electric Power Systems, IEEE."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/20\/5810\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T10:21:14Z","timestamp":1760178074000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/20\/5810"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,10,14]]},"references-count":38,"journal-issue":{"issue":"20","published-online":{"date-parts":[[2020,10]]}},"alternative-id":["s20205810"],"URL":"https:\/\/doi.org\/10.3390\/s20205810","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2020,10,14]]}}}