Netaji Subhas University of Technology (NSUT), New Delhi, India
It is in fact solution of det [sI-A], where 's' is the scalar Laplace Operator corresponding to d/dt, I is the identity or Unity Matrix with Diagonal elements as 1, while all off-diagonal elements are zero, A is the System Matrix of order n. Thus matrix [sI-A] is also of the order of n. There will be n roots or eigen values.
Once you form A, then under MATLAB, command is as follows:
B=eig(A). where through a column vector of n rows B will provide eigen values, real or complex conjugate.
If you wish to know about eigen vectors in addition, then command is as given below:
[V,D] = eig(A), where matrix V gives corresponding eigen vectors and matrix D is a Diagonal Matrix with eigen values as its diagonal elements.
It will be clear from the following example of third order system:
A method for determining the Z//B//U//S and Y//B//U//S matrices of any power-system network, using structural numbers, is given. A brief account of the algebra of structural numbers is included and the method illustrated with a numerical example.
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