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 i(t) = i(v[1], ..., v[P]) and by the charge of its capacitances q(t) = q(v[1], ..., v[Q]) . 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 i_c=f(v_b,v_c,v_e) coming from Early Effect, and i_b=(i_c)/(β•[1+(V_CB/V_A)]) 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, any suggestion is appreciated ^_^
The non-linear circuit is modeled by its current function i(t) = i(v[1], ..., v[P]) and by the charge of its capacitances q(t) = q(v[1], ..., v[Q]) . 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 i_c=f(v_b,v_c,v_e) coming from Early Effect, and i_b=(i_c)/(β•[1+(V_CB/V_A)]) 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, any suggestion is appreciated ^_^