First of all I want to say that this is a new field for me, so please excuse any inaccuracy in the used terminology and the lack of understanding of some concepts.
I am trying to understand whether it is possible to perform a circuit analysis (find voltage and current around complex circuit) by applying the following constraints:
- Apply Kirchhoff's current law for every junction
- Ohm's law for all electrical components
- For each energy source one terminal has a predefined V, while for the other the V is 0
I have found a description of the method for Nodal Voltage Analysis which seems not to need to enumerate all closed circuits and apply Kirchhoffs's voltage law.
In the end, I want to be able to perform such circuit analysis by applying the above defined "local rules" which do not rely on knowing of the whole network. So it is an algorithm which relies on the assumption that "the whole = the sum of the parts". What do you think, is such an approach possible?