SLIDE 9 ____________________________________________________________ ________________________ _
- Doc. number 61:00-1 Rev. 5 September 2006
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Simulation of a Wind Turbine
Development in Matlab Quest has the capacity to simulate the wind turbine using a mathematical model. This is usually conducted in close cooperation with the manufacturer. The benefits are: Faster development, less time needed in prototyping and deployment due to the ease
- f verification and testing
Refinement of control algorithms Easy and quick test of new ideas The output from Matlab simulations may easily be modified and tested again. There is no need to wait for the right wind conditions!
Fine-tuning a customised algorithm
Refinement of Control Algorithms In the model, new regulator models can be freely tested under all relevant wind and operating
- conditions. Robustness of the control system in
relation to plant differences can be verified. The Matlab Model The rotor torque and speed is calculated from wind input and the turbine’s aerodynamic and mechanical data. The model simulates a drive train with a stiff, heavy turbine, a soft axis, and a perfect gearbox. The generator speed, power and torque are calculated to model an asynchronous, squirrel cage generator. In order to adjust the model for variable speed, only the generator model needs to be changed. A regulator is written in C++ and integrated in the
- model. Effects of sampling interval, noise on input
data, delays in output, etc, can easily be studied.
Turbine:
Stiff, heavy disk
Main shaft:
Limited stiffness and damping
Gearbox:
Ideal transition of speed and torque
Generator:
Speed -> torque and electrical power
Wind:
Step function
Controller:
Uses power, speed and wind data to control pitch angles
Examples On the next page two examples of simulations are
- shown. The comparison to manufacturer data is
made to verify the model. In the first diagram there is a difference at high power that is fully explained by the difference in slip (zero slip makes the model, like most wind mills, unstable). The second diagram illustrates a simple regulator test showing the step response of the system. In addition wind may be modelled as bandwidth limited white noise or true wind traces. Pitch control Pitching equipment may also be simulated in Matlab.