Predictive Control of Power Converters and Electrical Drives

4.5 Load Model

Taking into account the definitions of variables from the circuit shown in Figure 4.2, the equations for load current dynamics for each phase can be written as

4.13

4.14

4.15

where R is the load resistance and L the load inductance.

By substituting (4.13)–(4.15) into (4.8) a vector equation for the load current dynamics can be obtained:

4.16

Considering the space vector definition for the inverter voltage given by (4.8), and the following definitions for load current and back-emf space vectors

4.17

4.18

and assuming the last term of (4.16) equal to zero

4.19

then the load current dynamics can be described by the vector differential equation

4.20

where v is the voltage vector ...