Methods of Circuit Analysis

Supernode Analysis

Supernode Analysis: Suppose any of the branches in the network has a voltage source, then it is slightly difficult to apply nodal analysis. One way to overcome this difficulty is to apply the Supernode Analysis. In this method, the two adjacent nodes that are connected by a voltage source are reduced to a single node …

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Mesh Analysis Equation

Mesh Analysis Equation: Mesh Analysis Equation and nodal analysis are two basic important techniques used in finding solutions for a network. The suitability of either mesh or nodal analysis to a particular problem depends mainly on the number of voltage sources or current sources. If a network has a large number of voltage sources, it is …

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Tie Set Matrix

Tie Set Matrix(Link Currents): Tie Set Matrix – For a given tree of a graph, addition of each link between any two nodes forms a loop called the fundamental loop. In a loop there exists a closed path and a circulating current, which is called the link current. The current in any branch of a …

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Incidence Matrix

Incidence Matrix (A): The incidence of elements to nodes in a connected graph is shown by the element node incidence matrix (A). Arrows indicated in the branches of a graph result in an oriented or a directed graph. These arrows are the indication for the current flow or voltage rise in the network. It can …

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Twigs and Links

Twigs and Links: Twigs and Links – The branches of a tree are called its ‘twigs’. For a given graph, the complementary set of branches of the tree is called the co-tree of the graph. The branches of a co-tree are called links, i.e. those elements of the connected graph that are not included in …

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