Multisource Networks and Superposition
In most of the treatment in the text so far there was one input and one output; for example a network was excited by a current source (single input) and we set out to figure output voltage (single output); this constituted what we refer to as the impedance transfer function. In general, however, there will be more than a single input source, and that is the topic of this chapter. We outline a very simple method how to split a multisource problem in terms of single-source ones by using superposition. For each of the input sources, we disable all other sources and figure the response due to that particular input source. Then we repeat till we have exhausted all input sources. Finally we add the response from each case and that comprises the network response to all sources enabled together. Current sources are disabled by simply opening them while voltage sources by shorting them. We illustrate the flow on a DC circuit, on an AC one and wrap with a power delivery problem. Again calculations take place in the frequency domain and inverse transforms lead back to the time domain.