Tue Jan 5 17:17:49 CET 2016
Projective view of a circuit node
A dual representation of a circuit node has coordinates:
- V : voltage of the node (wrt to ground)
- I : current imbalance
Either of the two dual views will see this either in terms of
- voltage sources: setting the voltage, absorbing the current
- current sources: setting the current, absorbing the voltage
Is there a way to look projectively at a source? Instead of picking a
view, is there a way to keep the symmetry and look at it as an entitiy
Again, it is not about the V,I but about the conductivity/resistance.
One thing though: most circuits are 2/3 terminals. These have
inverses that are easier to express, e.g. to maintain a dual
representation. Can this be used at all? It seems a lot of structure
is lost when using full matrices. Circuit matrices are fairly sparse.
Actually that's not relevant: sparsity is related to number of
connections to a single node, not the properties of edges.