Power System Stability Studies by the Method of Liapunov: I - State Space Approach to Synchronous Machine Modeling

This paper records the development of a synchronous machine model in the mathematical form required by most modem automatic control theorems. The model is based on a new expression for the constraint imposed on the machine by a general balanced 3-phase tee-form transmission system consisting of a step-up transformer, a shunt load, and a transmission line terminating at a bus of known voltage.