Title :
Analysis of an AC LC ladder circuit with spiral vector theory
Author_Institution :
Mitsubishi Electr. Corp., Kobe, Japan
Abstract :
The author analyzes an AC LC ladder circuit with spiral vector theory whose state variables are time-varying complex numbers. The author obtains the analytical general solutions that consists of one fundamental frequency element and three transient oscillation frequency elements. With a numerical example, it is found that different initial phase angles of voltage source will yield completely different transient state and the author considers it is a chaos phenomenon. The author also obtains instantaneous reactive power of the circuit that has no definitions in conventional AC circuit theory. All results show that spiral vector theory is effective in AC circuit analysis
Keywords :
chaos; circuit oscillations; ladder networks; network analysis; reactive power; transient analysis; AC LC ladder circuit; AC circuit analysis; AC circuit theory; chaos phenomenon; fundamental frequency element; initial phase angles; instantaneous active power; instantaneous reactive power; spiral vector theory; state variables; time-varying complex numbers; transient oscillation frequency elements; voltage source; Chaos; Circuit analysis; Circuit theory; Differential equations; Reactive power; Spirals; Steady-state; Switches; Transient analysis; Voltage;
Conference_Titel :
Power Conversion Conference, 2002. PCC-Osaka 2002. Proceedings of the
Conference_Location :
Osaka
Print_ISBN :
0-7803-7156-9
DOI :
10.1109/PCC.2002.997613
