{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:55:55Z","timestamp":1760237755781,"version":"build-2065373602"},"reference-count":50,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2020,6,13]],"date-time":"2020-06-13T00:00:00Z","timestamp":1592006400000},"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":["IND07"],"award-info":[{"award-number":["IND07"]}],"id":[{"id":"10.13039\/100012329","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>With the spread of new Low-Power Instrument Transformers (LPITs), it is fundamental to provide models and characterization procedures to estimate and even predict the LPITs\u2019 behavior. In fact, distribution system operators and designers of network models are looking for all forms of information which may help the management and the control of power networks. For this purpose, the paper wants to contribute to the scientific community presenting a smart characterization procedure which easily provides sufficient information to predict the output signal of a Low-Power Current Transformer (LPCT), the Rogowski coil. The presented procedure is based on a synthetized signal applied to the Rogowski coil. Afterwards, the validity of the procedure is assessed within the Matlab environment and then by applying it on three off-the-shelf Rogowski coils. Simulations and experimental tests and results involving a variety of distorted signals in the power quality frequency range and by adopting a quite simple measurement setup demonstrated the effectiveness and the capability of the procedure to correctly estimate the output of the tested device.<\/jats:p>","DOI":"10.3390\/s20123359","type":"journal-article","created":{"date-parts":[[2020,6,15]],"date-time":"2020-06-15T05:56:27Z","timestamp":1592200587000},"page":"3359","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":18,"title":["Smart Characterization of Rogowski Coils by Using a Synthetized Signal"],"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":"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":[[2020,6,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"976","DOI":"10.1016\/j.energy.2014.09.015","article-title":"Key performance indicators: A useful tool to assess Smart Grid goals","volume":"76","author":"Personal","year":"2014","journal-title":"Energy"},{"key":"ref_2","unstructured":"IEC 61869-1:2011 (2011). Instrument Transformers\u2014Part 1: General Requirements, International Standardization Organization."},{"key":"ref_3","unstructured":"IEC 61869-6:2016 (2016). Instrument Transformers\u2014Part 6: Additional General Requirements for Low-Power Instrument Transformers, International Standardization Organization."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Bragatto, T., Cerretti, A., D\u2019Orazio, L., Gatta, F.M., Geri, A., and Maccioni, M. (2019). Thermal effects of ground faults on MV joints and cables. Energies, 12.","DOI":"10.3390\/en12183496"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Calcara, L., D\u2019Orazio, L., Della Corte, M., Di Filippo, G., Pastore, A., Ricci, D., and Pompili, M. (2019, January 18\u201320). Faults evaluation of MV underground cable joints. Proceedings of the 2019 AEIT International Annual Conference (AEIT), Florence, Italy.","DOI":"10.23919\/AEIT.2019.8893351"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Mingotti, A., Ghaderi, A., Peretto, L., Tinarelli, R., and Lama, F. (2018, January 26\u201328). Test setup, design and calibration for tan delta measurements on MV cable joints. Proceedings of the 2018 IEEE 9th International Workshop on Applied Measurements for Power Systems (AMPS), Bologna, Italy.","DOI":"10.1109\/AMPS.2018.8494860"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"El Amine Slama, M., Beroual, A., and Haddad, A. (2020). Surface discharges and flashover modelling of solid insulators in gases. Energies, 13.","DOI":"10.3390\/en13030591"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1016\/j.ijepes.2019.05.060","article-title":"Inspection in overhead insulators through the analysis of the irradiated RF spectrum","volume":"113","author":"Rocha","year":"2019","journal-title":"Int. J. Electr. Power Energy Syst."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1016\/j.compeleceng.2019.08.001","article-title":"Insulator visual non-conformity detection in overhead power distribution lines using deep learning","volume":"78","author":"Prates","year":"2019","journal-title":"Comput. Electr. Eng."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"106276","DOI":"10.1016\/j.epsr.2020.106276","article-title":"Adaptive current harmonic estimation under fault conditions for smart grid systems","volume":"183","year":"2020","journal-title":"Electr. Power Syst. Res."},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Mingotti, A., Peretto, L., and Tinarelli, R. (2017, January 22\u201325). A novel equivalent power network impedance approach for assessing the time reference in asynchronous measurements. Proceedings of the 2017 IEEE International Instrumentation and Measurement Technology Conference (I2MTC), Turin, Italy.","DOI":"10.1109\/I2MTC.2017.7969760"},{"key":"ref_12","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_13","doi-asserted-by":"crossref","unstructured":"Arderne, C., Zorn, C., Nicolas, C., and Koks, E.E. (2020). Predictive mapping of the global power system using open data. Sci. Data, 7.","DOI":"10.1038\/s41597-019-0347-4"},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Lukowicz, M., Solak, K., and Wiecha, B. (2020). Optimized bandpass admittance criteria for earth fault protection of MV distribution networks. Int. J. Electr. Power Energy Syst.","DOI":"10.1016\/j.ijepes.2020.105855"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"107535","DOI":"10.1016\/j.measurement.2020.107535","article-title":"Impact of inductive current transformers on synchrophasor measurement in presence of modulations","volume":"155","author":"Gallo","year":"2020","journal-title":"Measurement"},{"key":"ref_16","first-page":"108","article-title":"Performance analysis of air-core current transformer","volume":"24","author":"Luo","year":"2004","journal-title":"Zhongguo Dianji Gongcheng Xuebao\/Proc. Chin. Soc. Electr. Eng."},{"key":"ref_17","unstructured":"Liu, X., Hu, B., Tong, Y., Yuan, T., and Yang, F. (2016, January 10\u201313). Characteristic study of electronic voltage transformers\u2019 accuracy on harmonics. Proceedings of the 2016 China International Conference on Electricity Distribution (CICED), Xi\u2019an, China."},{"key":"ref_18","unstructured":"Hu, B., Ye, G., Huang, H., and Wang, G. (2014, January 20\u201322). Research on measurement accuracy of EVT during the surge. Proceedings of the 2014 International Conference on Power System Technology, Efficient and Smart Power System, Chengdu, China."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"29188","DOI":"10.1109\/ACCESS.2020.2972304","article-title":"The research on additional errors of voltage transformer connected in series","volume":"8","author":"Zhang","year":"2020","journal-title":"IEEE Access"},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Mingotti, A., Peretto, L., Tinarelli, R., and Ghaderi, A. (2018). Uncertainty sources analysis of a calibration system for the accuracy vs. temperature verification of voltage transformers. J. Phys. Conf. Ser., 1065.","DOI":"10.1088\/1742-6596\/1065\/5\/052041"},{"key":"ref_21","unstructured":"Wu, F., Peng, J.C., Nair, N.C., and Goodwin, D. (2010, January 5\u20138). Incorporating instrument transformer errors to voltage stability assessment. Proceedings of the 2010 20th Australasian Universities Power Engineering Conference, Christchurch, New Zealand."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"3492","DOI":"10.1049\/iet-gtd.2016.0131","article-title":"Measurement error of non-sinusoidal electrical power and energy caused by instrument transformers","volume":"10","author":"Kaczmarek","year":"2016","journal-title":"IET Gener. Transm. Distrib."},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Mingotti, A., Peretto, L., and Tinarelli, R. (2018, January 14\u201317). Low power voltage transformer accuracy class effects on the residual voltage measurement. Proceedings of the 2018 IEEE International Instrumentation and Measurement Technology Conference (I2MTC), Houston, TX, USA.","DOI":"10.1109\/I2MTC.2018.8409807"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"819","DOI":"10.4028\/www.scientific.net\/AMM.599-601.819","article-title":"Analysis and research of rogowski coil current sensing technology","volume":"599\u2013601","author":"Gong","year":"2014","journal-title":"Appl. Mech. Mater."},{"key":"ref_25","unstructured":"Hlavacek, J., Prochazka, R., Draxler, K., and Kvasnicka, V. (2008, January 22\u201324). The rogowski coil design software. Proceedings of the 16th IMEKO TC4 Symposium: Exploring New Frontiers of Instrumentation and Methods for Electrical and Electronic Measurements, Lorence, Italy."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1088\/0957-0233\/21\/11\/112001","article-title":"Electric current sensors: A review","volume":"21","author":"Ripka","year":"2010","journal-title":"Meas. Sci. Technol."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"651","DOI":"10.1109\/JSEN.2014.2362940","article-title":"The rogowski coil principles and applications: A review","volume":"15","author":"Samimi","year":"2015","journal-title":"IEEE Sens. J."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"1666","DOI":"10.4028\/www.scientific.net\/AMR.986-987.1666","article-title":"The application of rogowski coil in power system","volume":"986\u2013987","author":"Wang","year":"2014","journal-title":"Adv. Mater. Res."},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Arg\u00fceso, M., Robles, G., and Sanz, J. (2005). Implementation of a rogowski coil for the measurement of partial discharges. AIP Rev. Sci. Instrum., 76.","DOI":"10.1063\/1.1921427"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1049\/iet-smt.2009.0124","article-title":"Calibration of on-line partial discharge measuring system using rogowski coil in covered-conductor overhead distribution networks","volume":"5","author":"Hashmi","year":"2011","journal-title":"IET Sci. Meas. Technol."},{"key":"ref_31","doi-asserted-by":"crossref","unstructured":"Fujiwara, K., Tamura, F., Tokuchi, A., Takahashi, K., Sasaki, T., and Kikuchi, T. (2019, January 23\u201329). Design and analysis on coil parameter of linear rogowski coil for measurement of high frequency pulsed current. Proceedings of the 2019 IEEE Pulsed Power & Plasma Science (PPPS), Orlando, FL, USA.","DOI":"10.1109\/PPPS34859.2019.9009989"},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Jiao, C., Zhang, J., Zhao, Z., Zhang, Z., and Fan, Y. (2019). Research on small square pcb rogowski coil measuring transient current in the power electronics devices. Sensors, 19.","DOI":"10.3390\/s19194176"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1109\/JSEN.2010.2052034","article-title":"Design and construction of a rogowski coil for measuring wide pulsed current","volume":"11","author":"Liu","year":"2011","journal-title":"IEEE Sens. J."},{"key":"ref_34","doi-asserted-by":"crossref","unstructured":"Nanyan, A.N., Isa, M., Hamid, H.A., Hafizi Rohani, M.N.K., and Ismail, B. (2018). The rogowski coil sensor in high current application: A review. IOP Conf. Ser. Mater. Sci. Eng., 318.","DOI":"10.1088\/1757-899X\/318\/1\/012054"},{"key":"ref_35","doi-asserted-by":"crossref","unstructured":"Mingotti, A., Ghaderi, A., Mazzanti, G., Peretto, L., Tinarelli, R., Valtorta, G., and Danesi, S. (2018, January 26\u201328). Low-cost monitoring unit for MV cable joints diagnostics. Proceedings of the 2018 IEEE 9th International Workshop on Applied Measurements for Power Systems (AMPS), Bologna, Italy.","DOI":"10.1109\/AMPS.2018.8494848"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"4062","DOI":"10.1109\/TIE.2009.2025715","article-title":"Motor fault detection using a rogowski sensor without an integrator","volume":"56","author":"Poncelas","year":"2009","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"150","DOI":"10.1016\/j.epsr.2018.10.038","article-title":"Online condition monitoring of MV cable feeders using rogowski coil sensors for PD measurements","volume":"167","author":"Shafiq","year":"2019","journal-title":"Electr. Power Syst. Res."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"1054","DOI":"10.1109\/TIM.2008.2007031","article-title":"Onsite calibration of a current transformer using a rogowski coil","volume":"58","author":"Suomalainen","year":"2009","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_39","unstructured":"IEC 61869-10:2018 (2018). Instrument Transformers\u2014Part 10: Additional Requirements for Low-Power Passive Current Transformers, International Standardization Organization."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"854","DOI":"10.1109\/TIM.2010.2060223","article-title":"Evaluation of flexible rogowski coil performances in power frequency applications","volume":"60","author":"Chiampi","year":"2011","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"5396","DOI":"10.1049\/iet-gtd.2019.0174","article-title":"Electronic transformer performance evaluation and its impact on PMU. IET Generation","volume":"13","author":"Li","year":"2019","journal-title":"Transm. Distrib."},{"key":"ref_42","doi-asserted-by":"crossref","unstructured":"Li, Z., Xiang, X., Hu, T., Abu-Siada, A., Li, Z., and Xu, Y. (2020). An improved digital integral algorithm to enhance the measurement accuracy of rogowski coil-based electronic transformers. Int. J. Electr. Power Energy Syst., 118.","DOI":"10.1016\/j.ijepes.2019.105806"},{"key":"ref_43","doi-asserted-by":"crossref","unstructured":"Marracci, M., Tellini, B., and Bertolucci, E. (2017, January 22\u201325). Study and characterization of a rogowski coil with superparamagnetic magnetite core. Proceedings of the 2017 IEEE International Instrumentation and Measurement Technology Conference (I2MTC), Turin, Italy.","DOI":"10.1109\/I2MTC.2017.7969951"},{"key":"ref_44","doi-asserted-by":"crossref","unstructured":"Ayhan, B., and Ucak, C. (2020). Improved magnetic circuit model for magnetic shielding effectiveness in rogowski coil. IEEE Trans. Magn., 56.","DOI":"10.1109\/TMAG.2019.2958534"},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"2284","DOI":"10.1109\/TIM.2007.907965","article-title":"High-frequency model of the rogowski coil with a small number of turns","volume":"56","author":"Dubickas","year":"2007","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_46","doi-asserted-by":"crossref","unstructured":"Mingotti, A., Peretto, L., and Tinarelli, R. (2019, January 25\u201327). A simple modelling procedure of rogowski coil for power systems applications. Proceedings of the 2019 IEEE 10th International Workshop on Applied Measurements for Power Systems (AMPS), Aachen, Germany.","DOI":"10.1109\/AMPS.2019.8897786"},{"key":"ref_47","doi-asserted-by":"crossref","unstructured":"Oganyan, R., Gorbatenko, N., and Lankin, M. (2019). Development of a mathematical model for determining the EMF of the secondary winding of a measuring current transformer based on the rogowski coil. IOP Conf. Ser. Mater. Sci. Eng., 680.","DOI":"10.1088\/1757-899X\/680\/1\/012032"},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"1319","DOI":"10.1002\/tee.22698","article-title":"Comparative analysis of various models of rogowski coil for very fast transient study","volume":"13","author":"Hu","year":"2018","journal-title":"IEEJ Trans. Electr. Electron. Eng."},{"key":"ref_49","unstructured":"IEEE Std. 519-2014 (2014). Recommended Practice and Requirements for Harmonic Control in Electric Power Systems, IEEE Standards Association."},{"key":"ref_50","unstructured":"EN 50160:2011 (2017). Voltage Characteristics of Electricity Supplied by Public Electricity Networks, European Committee for Standardization."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/12\/3359\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T09:38:35Z","timestamp":1760175515000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/12\/3359"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,6,13]]},"references-count":50,"journal-issue":{"issue":"12","published-online":{"date-parts":[[2020,6]]}},"alternative-id":["s20123359"],"URL":"https:\/\/doi.org\/10.3390\/s20123359","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2020,6,13]]}}}