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Master of Science Thesis in Electric Power Engineering - page 41 / 114

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VOLTAGE ORIENTED CONTROL – SIMULATION

with

. If we do the same calculation than the current controller case, we can find :

(3.30)

Then, the PI voltage controller scheme will be as below.

Figure 3.17 : PI controller with antiwindup

ACTIVE DAMPING Previously, we found a system transfer function

(equation (3.26)) as

which has a pole at the origin. [14] advice to add an active damping in this case, to place the pole at

, with

the bandwidth of the voltage controller.

1

3

2

2

 System transfer function Based on [14] , we can find the following equations and block diagram (Figure 3.18). We can

We chose to define

with

(3.31)

start again with equation (3.25):

(3.25)

1

3

3

2

2

2

where

is the active conductance that provides active damping. Then, by substituting equation

(3.31) into (3.25), the system model becomes

(3.32)

The system transfer function becomes

(3.33)

As we can see, we still have a first order system but the pole can be chosen with

. Placing the pole

at

we can find

as

(3.34)

32

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