Abstract
The effect of the elasticity of the water column in the penstock of a hydro power plant represents an irrational mathematical function. In this paper, this function is reduced to a lower order using the H-infinity approximant method. The gate position-turbine power nonlinear steady state characteristic is modeled by this reduced order function, and then, the time domain and frequency domain simulations of turbine power are presented and compared with the widely known Padé approximant method for order reduction of irrational functions.
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