Web Reference: The article explains the swing equation, a key mathematical formula that models the dynamic behavior of synchronous generators in power systems. It outlines the derivation process, starting from Newton’s law of rotation and incorporating angular position and velocity. The equation describing the relative motion is known as the swing equation, which is a non-linear second order differential equation that describes the swing of the rotor of synchronous machine. This document contains two examples that use the swing equation to analyze the behavior of synchronous generators during faults. The first example calculates the angular velocity and power angle of a generator during and after a 3-phase short circuit.
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