Parametric Synthesis of a Controller for Stabilising Rotor Angular Velocity in a Steam Turbine for an Autonomous Power Supply System

The study deals with the issues of computing controller parameters for stabilising rotor angular velocity in a steam turbine when the turbine set operates for a self-contained power system (autonomous load). To achieve this, we introduce a simple PID controller into the angular velocity sensor circuit found in a regular control system designed for high-power electric grids. Changing the parameters of this controller makes it possible to return to the previous system. Controller parameters should be computed so as to ensure that those processes that are closest to the ones desired take place both at the output (sustaining the preset pattern of variation in the turbine rotor rotation frequency) and in the main turbine components. We propose an algorithm for calculating controller parameters that uses methods of numerical integration of differential equations as the basis for the iterative process employed in the parametric synthesis. We replace phase variables by reference variables (which are known) in the numerical integration scheme used for equations forming the mathematical model of the turbine with an extra controller; as a result, at every step of formal integration there appears a system of algebraic equations in the parameters sought. These controller parameters form the solution for the system. We supply the results comparing the operation of the finetuned system to a reference process, as well as plots showing how the controller parameters sought vary in the process of tuning them to values close to optimum

The study was supported by RFBR and the Government of the Kaluga Region (grant no. 16-41-4007)

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