I´m designing a single active bridge converter.
At this point, I'm trying to model the transfer function of this converter to implement the controller using a C2000 piccolo board. The point is I've found a paper calledRodríguez, A., Gomez, A. A., Hernando, M. M., Lamar, D. G., & Sebastian, J. (2024). A Dynamic study of the Single Active Bridge Converter. IEEE Transactions on Power Electronics.
where they model the transfer function of this converter in MCC and MCD using the current injection equivalent circuit (CIECA). I've managed to understand what they do and solve the expressions to achieve that transfer function expression. But I've realized that this transfer function they use relates the output voltage with the duty cycle which is normal. But in this converter I'm not using a conventional PWM modulation, instead of modifying the pulse width as you do in normal converters I'm using a phase shift modulation. Each leg of the bridge has a 50% duty cycle but the key point is that you transfer the energy taking into account the phase shift between the legs of the bridge.
Here you can see the expressions they obtain for the transfer functions. My question is, knowing that I'm using the phase shift modulation instead of a classical PWM modulation. My transfer function would be the same as it is shown in this paper but just replacing the D (duty cycle) by the phase shift variable or which process should I follow to model this transfer function. Actually I would like to find some paper or books where it explains the equations and relations of this phase shift modulation which is quite common in phase shift full bridge converters for example.