Tensor analysis of the instantaneous power in electrical networks

摘要

This paper proposes an alternative physical interpretation and calculation of instantaneous power, using the concept of tensor product as a mathematical tool. "Instantaneous power tensor" is the single expression defined using this theory of power, which involves the two components of instantaneous power (active and reactive), in order to geometrically interpret the behavior of electrical phenomena, analogous to studies of deformation in the mechanics of solids. Additionally, a comparison is made between the definition of instantaneous power in the literature (vector analysis) and the proposed definition (tensor analysis).