TIDUD61E October 2020 – April 2021
The same control loop model applies to both PFC and grid-tied inverter operation. To understand the current loop model, first look at the inductor current closely. In Figure 2-8 the Duty cycle (D) is provided to the PWM modulator, which is connected to the switch Q3 and Q4. From here, Equation 1 is written as:
When D is set to 1, Q3 is on all the time, and when D is 0, Q3 is off all the time.
To modulate the current through the inductor, the voltage is regulated using the duty cycle control of Q3 and Q4 switches. It is assumed that the direction of current is positive in the direction from the AC line into the rectifier and that the grid is fairly stiff when using the DC bus feedforward and the AC voltage feedforward. Figure 2-9 shows the simplified current loop, and the current loop plant model is written as Equation 2.
Where:
The negative sign on the reference is because the current loop is thought to be regulating the voltage, . To increase the current, must be reduced—hence, the opposite sign for reference and feedback in Figure 2-9.
This current loop model is then used to design the current compensator. A simple proportional integral controller is used for the current loop.
Now, in the case of three interleaved phases, the current is simply three times more as the same duty cycle is provided to each leg. Hence, the plant model is given as Equation 3.
This model is verified on this design using the SFRA library. Figure 2-10 shows the model versus measured open loop frequency response, which shows good correlation between the two.