An AC voltage source in the time-domain is characterized by its frequency , the initial phase and the amplitude . During amplitude modulation the modulation level must be considered. The output voltage of the source is determined by the following equation.
(6.103) |
The appropriate MNA matrix entries during the transient analysis decribing a simple linear operation can be written as
(6.104) |
The phase modulated AC source is also characterized by the frequency , the amplidude and by an initial phase . The output voltage in the time-domain is determinded by the following equation
(6.105) |
whereas denotes the modulation index and the modulating voltage.
The component is non-linear in the frequency- as well in the time-domain. In order to prepare the source for subsequent Newton-Raphson iterations the derivative
(6.106) |
is required. With this at hand the MNA matrix entries of the PM modulated AC voltage source during the transient analysis can be written as
(6.107) |