Abstract
When doing transient and dynamic analysis of powerplants, mathematical representation of the turbine is needed. Linear models lend themselves easily to be used in combination with control algorithms, block diagrams, as well as for more qualitative analysis and parameter studies. A typical linear model consists of characteristic values representing the gradients. Thus, when these characteristic values are known, a linear turbine model is easy to implement into existing platforms, such as Simulink, Xcos or similar. The characteristic values for the linear model are derived from linearizing a fully synthetic nonlinear model. This non-linear model uses a first principles approach based on the Euler turbine equations and the opening degree, thus is independent from measured data, and only need input such as nominal head and flow. This paper also presents a new derivation of some of the parts of the non-linear model.
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