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The Newton-Raphson method in power system analysis is used to solve nonlinear equations, particularly for load flow studies. It begins by forming the power flow equations based on the system's bus admittance matrix. An initial guess of voltage magnitudes and angles is made, and then the Jacobian matrix is constructed. Iteratively, the method updates the guessed values using the inverse of the Jacobian matrix and the mismatch in power equations until convergence is achieved, ensuring that voltage and power flow solutions are accurately determined.

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