Equivalent Transformations of a Cube-like Passive Linear One-port Networks with Equal Impedances in their Branches

In the present paper equivalent transformations of cube-like passive linear one-port networks supplied by alternating-current (AC) sources are suggested. The initial analyzed one-port is represented in the 3D space as a cube, resp. a parallelepiped. In each arm of the cube equal passive elements are connected in series so that the resulting impedance contains both real and imaginary parts, named active and reactive parts. Since all impedances are either inductive or capacitive it is not possible the phenomenon resonance to take place.Based on the well-known transformations of passive linear one-ports networks of series and parallel type, a representation of the cube-like one-port with the only one impedance connected between the supplied nodes is proposed. One possible case of DC power supply and three possible cases of AC power supply between 3 possible pairs of nodes of the analyzed passive linear one-port network are considered.