Complementary Switching Operation

Ideal Switch

Static characteristics of ideal switch

Static Characteristics of Idel Switch

=> Ideal switch neither consumes nor stores energy.

Dynamic characteristics of ideal switch

1. Switching time (the time it takes to change the on/off state of the switch) = 0

2. Switching frequency (the frequency of switching) can be infinite

3. The driving power to drive the switch is 0, and the response speed of the switch to the driving signal is infinitely fast.

 

In reality, power conversion circuits that include switches have time-varying nonlinear characteristics.

 

Existence function: Mathematical representation of switch operation

The formula for the existence function is as follows.

Existence function

The waveform of the existence function is as follows.

Existence function Waveform

Complementary Switching Operation

The formula for the Complementary existence function is as follows.

Complementary Existence function

 

The waveform of the Complementary existence function is as follows.

Complementary Existence function Waveform

 

Circuit Example

Half Bridge Equvalent Circuit Model