- #1
genxium
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When I'm reading a tutorial about Harmonic Balance algorithm (this is a link to the tutorial website), I'm quite confused by the concept it mentions about the nodal analysis of non-linear components, especially for:
The non-linear circuit is modeled by its current function [itex]i(t) = i(v_1, ..., v_P)[/itex] and by the charge of its capacitances [itex]q(t) = q(v_1, ..., v_Q)[/itex] . These functions must be Fourier-transformed to give the frequency-domain vectors Q and I , respectively.
Say for a simple BJT with 3 nodes b,c,e, as conventional notations, I can understand how [itex]i_c=f(v_b,v_c,v_e)[/itex] coming from Early Effect, and [itex]i_b=\frac{i_c}{β \cdot (1+\frac{V_{CB}}{V_A})}[/itex] or anything similar, to indicate "non-linearity", but what's the parameters involved with charge of capacitances?
I really have no idea how Charge of Capacitances is playing a role in nodal analysis,especially why it's regarded as "non-linear" part, any suggestion is appreciated ^_^
The non-linear circuit is modeled by its current function [itex]i(t) = i(v_1, ..., v_P)[/itex] and by the charge of its capacitances [itex]q(t) = q(v_1, ..., v_Q)[/itex] . These functions must be Fourier-transformed to give the frequency-domain vectors Q and I , respectively.
Say for a simple BJT with 3 nodes b,c,e, as conventional notations, I can understand how [itex]i_c=f(v_b,v_c,v_e)[/itex] coming from Early Effect, and [itex]i_b=\frac{i_c}{β \cdot (1+\frac{V_{CB}}{V_A})}[/itex] or anything similar, to indicate "non-linearity", but what's the parameters involved with charge of capacitances?
I really have no idea how Charge of Capacitances is playing a role in nodal analysis,especially why it's regarded as "non-linear" part, any suggestion is appreciated ^_^