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==Newton–Raphson solution method==
There are several different methods of solving the resulting nonlinear system of equations. The most popular{{according to whom}} is known as the Newton–Raphson method. This method begins with initial guesses of all unknown variables (voltage magnitude and angles at Load Buses and voltage angles at Generator Buses). Next, a [[Taylor Series]] is written, with the higher order terms ignored, for each of the power balance equations included in the system of equations .
The result is a linear system of equations that can be expressed as:
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