An Enhanced Time-Domain Simulator of Transient Stability in Power Systems

Time-domain simulations can be used to study and verify the operation of an electrical network, whether large or small, fast or slow. In this study a classic 9-bus system is modeled in detail. The quantities of interest in this simulation are generator states, generator currents and node voltages. A differential-algebraic system of equations (DAE) is formulated. The generator states are dynamic while all other variables are algebraic. Important numerical techniques are highlighted: an implicit integration method with a technique to re-use prior information to speed up the simulation. A detailed analysis of several key state variables follows. The time evolution is discussed for different variables of interest in the synchronous machine models and network. This detailed model, coupled with an enhanced implicit integration method, yields numerical stability and stability in the model.