I am currently trying to develop a control model for an LLC converter.
This is a topology in power electronics that relies heavily on the resonant behavior of an LC tank.
Please see the image attached for a simplified version
The output of the system is the amplitude of Vout. The input to the system is:
- the amplitude of Vin,
- the frequency of Vin.
Both parameters can be changed individually. The controller should later control the frequency of Vin to maintain Vout, while changes in amplitude of Vin are considered external disturbances.
My problem is how to model the frequency behavior in MATLAB? I have calculated the bode plot but how can I continue with the controller design?
R = 10;
L = 10e-6;
C = 10e-6;
G = tf([L*L*R*C,L*R*R*C,0,0],[L*L*R*C,L*L+L*R*R*C,2*R*L,R*R])
Thank you very much for your support!