QUANTITIES OF A MULTITERMINAL CIRCUIT DETERMINED ON THE BASIS OF KIRCHHOFFS LAWS

For multiterminal electrical networks the interdependency between volt ages and currents of the branches of different equivalent circuits and the corresponding terminal quantities are determined using only Kirch hoff's laws. It is shown, that the only set of voltages appertaining t o the set of n currents passing the n terminals consists of the n volt ages between the terminals and their common virtual star point, the po tential of which is defined to be the mean value of the potentials of all n terminals. In the general case power quantities can be reasonabl y determined only using pairs which consist either of a terminal curre nt and the appertaining terminal-to-virtual star point Voltage or of a terminal-to-terminal voltage and its appertaining current, the defini tion of which is less well known. Apparent power is defined to be equa l to the physically defined active power, assuming that all terminal c urrents would be proportional to their appertaining voltages and would have the same collective rms value as the set of actual terminal curr ents. All definitions can always be applied including single-phase and multiphase energy supply systems with or without neutral conductor