Fundamental Wave Analysis Based on Power Balance
Sun Chun-mei · Dianzi xuebao · 2007
We can find the first harmonic current component is1 of injecting to the nonlinear networks by using fundamental-wave balance principle,when sinusoidal voltage source Us is applied to the proper port of the nonlinear network.The frequency and amplitude of sinusoidal voltage source is called fundamental harmonic solution,when is1=0.If n-fundamental harmonic solution can be found,then n-periodic solution of original network certain exist correspondingly.If first harmonic solution is nonexistent,the original network has no periodic solution also.Taking the Colpitts circuit as example,the close relation between reactive power balance and periodic oscillation can be shown.Chaotic oscillation shape and properties of Chua's circuit can be explained by the fundamental-wave balance principle.The universality of the conclusion can be extended to the three dimensional nonlinear network.Its correctness can be verified by the Simulink.