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This paper presents a theoretical analysis on the measurement of active energy in polluted distribution power systems. Since the watt-hour meters widely used in distribution power systems, both electro-mechanical meters and static meters, are all designed to measure active energy in sinusoidal conditions, it is useful to evaluate their performance in the presence of distorted voltages and currents in theory. Form the results of theoretical analysis, the accuracy of the watt-hour meters design may be different form the normal conditions, with the distorted voltages and currents. With the help of Real Time Digital Simulator (RTDS), several experimental tests are performed to support the theoretical analysis in this paper.