modelGenerator

Information

The Generator model is a conceptual model of a thermal power plant with a synchronous electrical generator. The goal is not to reproduce the dynamics of any real power plant accurately, but rather to replicate the mathematical structure and the type of dynamic behaviour that is to be found in real-life power plant models.

In particular, the goal is to represent the slow thermal dynamics and the fast electro-mechanical dynamics at the same time. This is a particularly interesting benchmark for multi-rate integration algorithms, that can exploit these dynamic feature by only refining the integration grid for the electro-mechanical states.

The thermal part comprises a simplified boiler - turbine model and a thermal model of the superheated steam temperature, assuming uniform thermal source temperature for simplicity. The model is written using normalized variables for simplicity.

The generator model is described by the classical swing equation, assuming ideal voltage control and neglecting reactive power flows. The actual power flows between generators and loads are computed by the PowerSystem

The model is completed by classical boiler-follows control strategy with primary and secondary frequency control. The primary frequency control input is computed locally and is proportional to the frequency deviation, while the secondary control input is determined by the the PowerSystem model and passed via a modifier to the individual generator models. For simplicity, the superheated steam temperature is not controlled and fluctuates depending on the steam flow.

The initial equations initialize the generator at steady-state, assuming that a load with the nominal power of the plant is consuming the entire production locally.

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