Definitions and analysis of passing-power and dissipation-power and their components in electric networks

The power defined in electric circuit theory is the element's absorbing power, physically based on the work done by electric field force on charges. However, the distribution of elements' absorbing power fails to show the continuity of energy flow in electric networks. The calculation-formula-based flowing power given by electric power network theory shows the continuity of energy flow, but is not applicable to asymmetric networks. In this paper, to reveal the continuity of energy flow in electric networks, the passing-power and dissipation-power are defined based on the spatial energy flow density of electromagnetic fields. The relationship between the dissipation-power and the absorbing power defined in circuit theory is analyzed, and a method to solve passing-power in a special class of symmetric electric networks is derived. The difficulties in the solution of passing-power in general electric networks are pointed out. Furthermore, the passing-power component and dissipation-power component are defined based on continuity of energy flow and conservation of energy to quantitatively show the proportion of each source to a passing-/dissipation-power. The difficulties in the solution of passing-power component are analyzed. It is pointed out that there are wide applications for passing-power and its components.