Predictive Control of Power Converters and Electrical Drives

6.2 Rectifier Model

6.2.1 Space Vector Model

The AFE rectifier is modeled as shown in Figure 6.3. The rectifier is a fully controlled bridge with power transistors, connected to the three-phase supply voltages v_s using the filter inductances L_s and resistances R_s.

Figure 6.3 AFE rectifier

Considering the circuit shown in Figure 6.3, the equations for each phase can be written as

6.1

6.2

6.3

Then, considering the space vector definition for the grid voltage

6.4

where a = e^j2π/3, and by substituting (6.1)–(6.3) into (6.4), the vector equation for the grid current dynamics can be obtained as

6.5

Note that the last term of this equation is equal to zero

6.6

The input current dynamics equation (6.5) can be simplified by considering the following definitions for the grid current vector and ...