A novel algorithm of dielectric loss measurement based on orthogonal decomposition

The physical meanings and definition of dielectric loss factor-tan delta was analyzed under the harmonic condition. Voltage and current were defined as vectors in Normed Linear Space. By using the characteristic of orthogonal vector in inner product space, the current signal was decomposed to active and reactive currents. Subsequently, a novel digital algorithm of tan delta measurement, which was defined as ratio of norms of the active current and currents, was presented based on orthogonal decomposition. Lastly, the proposed algorithm was simulated under several conditions. The simulation results show that the proposed algorithm is correct and predominant compared with the harmonic analysis method, and that the algorithm has physical meanings, simple calculation, precise measurement result and strong anti-interference capability.