Course content

The course is presenting the structure matrix method for mathematical modeling of hydro-electric power plants and pump systems connected to complicated pipelines-and/or tunnel systems included valves, accumelators and control systems. The theory are founded on nonlinear friction alleviation of oscillating flow through tunnels and pipelines and the effects of turbines- and pump characteristics in system for turbines and pumped-storage power plants or in pump systems. Frequency response measurement methods to decide the stability are being described. Mathematical modeling of tunnels, pipelines, turbines, water level regulation, generators and electric grid in the frequency domain are being described.

This course will not be held if less than 5 students are signed up.

Learning outcome

The course is giving an introduction to stability analysis of control systems for power plants and pressure regulation of pumps. The main goal is to be able to calculate pressure surges in pipes and to analyze speed- and power control of hydraulic turbines.

Learning methods and activities

Lectures and voluntary tutorials

Required previous knowledge

Exam in TTK4105 Control engineering with electric curcuits or equivalent

Course materials

Hermod Brekke: A Stability Study on Hydro Power Plant Governing.
Li Xin Xin: Hydropower System Modelling by the STRUCTURE MATRIX METHOD, HOG Report.

Credit reductions