Supernode (circuit)

In this circuit, both VA and VB are supernodes. VA has two unreferenced nodes, whereas VB has one referenced node (ground) and one unreferenced node.

In circuit theory, a supernode is a theoretical construct that can be used to solve a circuit. This is done by viewing a voltage source on a wire as a point source voltage in relation to other point voltages located at various nodes in the circuit, relative to a ground node assigned a zero or negative charge. A supernode exists when an ideal voltage source appears between any two nodes of an electric circuit.[1]

Each supernode contains two nodes, one non-reference node and another node that may be a second non-reference node or the reference node. Supernodes containing the reference node have one node voltage variable. For nodal analysis, the supernode construct is only required between two non-reference nodes.[2]

## Nodal analysis

> It is related to Kirchhoff's current law which states that the total or algebraic sum of currents meeting at a junction or node is zero. Every junction where two or more branches meet is a node. One of the nodes in the network is taken as reference node. If there are n nodes in any network, the number of simultaneous equation to be solved will be (n-1).

## See also

* Node

## References

1. ↑ engineer (2015-08-27). "Define Super node? | Electrical Circuits VIVA Questions 2023" (in en-US). https://engineeringinterviewquestions.com/define-super-node-electrical-circuits-viva-questions/.
2. ↑ Roxborough, Tom; Sen, Arunabha (2005). "Graph Clustering Using Multiway Ratio Cut (Software Demonstration)". Springer Berlin Heidelberg. 291-296.

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