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(Solved): The one-line diagram of a simple power system is shown in Figure. All system data expressed in per ...



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The one-line diagram of a simple power system is shown in Figure. All system data expressed in per unit on a common 100-MVA base is tabulated below. The generators are running on no-load at their rated voltage and rated frequency with their emfs in phase. Draw the positive, negative and zero sequence impedance diagram and find all sequence impedance. Also calculate a single line to ground fault current at bus 3 through a fault impedance


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THIS IS a basic question, you can do it by any method by either gauss sidel, newton raphson
aur fdif method.
Jacobi Method
Jacobi method or Jacobian method is named after the German mathematician
Carl Gustav Jacob Jacobi (1804-1851). The main idea behind this method is,

For a system of linear equations:




To find the solution to this system of equations Ax = B, we assume that the system
of equations have a unique solution and there is no zero entry among the diagonal or pivot elements of the coefficient matrix A.

Now, we shall begin to solve equation 1 for x1, equation 2 for x2 and so on equation n for xn, we get
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