The single-phase voltage loss is a common fault. Once the voltage-loss failure occurs, the amount of electrical energy will not be measured, but it is to be calculated so as to protect the interest of the power supplier. Two automatic calculation methods, the power substitution and the voltage substitution, are introduced in this paper. Considering the lack of quantitative analysis of the calculation error of the voltage substitution method, the grid traversal method and MATLAB tool are applied to solve the problem. The theoretical analysis indicates that the calculation error is closely related to the voltage unbalance factor and the power factor, and the maximum calculation error is about 6% when the power system operates normally. To verify the theoretical analysis, two three-phase electrical energy metering devices have been developed, and verification tests have been carried out in both the lab and field conditions. The lab testing results are consistent with the theoretical ones, and the field testing results show that the calculation errors are generally below 0.2%, that is correct in most cases.

JO - Metrology and Measurement Systems L1 - http://www.czasopisma.pan.pl/Content/113094/PDF/05_MMS_3_INTERNET.pdf L2 - http://www.czasopisma.pan.pl/Content/113094 IS - No 3 EP - 516 KW - three-phase electrical energy meter KW - voltage-loss failure KW - voltage substitution KW - three-phase voltage unbalance KW - calculation error ER - A1 - Cheng, Han-miao A1 - Wang, Zhong-dong A1 - Cai, Qi-xin A1 - Lu, Xiao-quan A1 - Gao, Yu-xiang A1 - Song, Rui-peng A1 - Tian, Zheng-qi A1 - Mu, Xiao-xing PB - Polish Academy of Sciences Committee on Metrology and Scientific Instrumentation VL - vol. 26 JF - Metrology and Measurement Systems SP - 505 T1 - Error analysis of the three-phase electrical energy calculation method in the case of voltage-loss failure UR - http://www.czasopisma.pan.pl/dlibra/docmetadata?id=113094 DOI - 10.24425/mms.2019.129575