TITLE:
Power Balance Theorem of Frequency Domain and Its Application
AUTHORS:
Binghua Huang, Guangming Li, Huijie Liu
KEYWORDS:
Tellegen’s Theorem, Harmonic, Conservative System, Chaos, Lossless Circuit
JOURNAL NAME:
Journal of Modern Physics,
Vol.5 No.12,
July
25,
2014
ABSTRACT: This
paper proves a power balance theorem of frequency domain. It becomes another
circuit law concerning power conservation after Tellegen’s theorem. Moreover the
universality and importance worth of application of the theorem are introduced
in this paper. Various calculation of frequency domain in nonlinear circuit
possess fixed intrinsic rule. There exists the mutual influence of nonlinear
coupling among various harmonics. But every harmonic component must observe
individually KCL, KVL and conservation of complex power in nonlinear circuit.
It is a lossless network that the nonlinear conservative system with excited
source has not dissipative element. The theorem proved by this paper can
directly be used to find the main harmonic solutions of the lossless circuit. The
results of solution are consistent with the balancing condition of reactive
power, and accord with the traditional harmonic analysis method. This paper
demonstrates that the lossless network can universally produce chaos. The phase
portrait is related closely to the initial conditions, thus it is not an
attractor. Furthermore it also reveals the difference between the
attractiveness and boundedness for chaos.