Performance measurement and analysis of DC-DC boost regulator

Theory

The circuit configuration of boost converter is given in Fig. 1.

Fig. 1 Circuit Diagram of Boost Converter.


Based on the modes of operation, the voltage gain formulation (in brief) is given below:

Mode – I : Switch S:ON-state, Diode: OFF-state


Fig. 2(a). Equivalent circuit in mode-I.

Mode – II : Switch S:OFF-state, Diode: ON-state


Fig. 2(b). Equivalent circuit in mode-II.


a) Voltage conversion ratio or voltage gain (M)

Voltage across inductor L:

Mode – I :

..(1)


Mode – II :

..(2)


Applying volt-sec balance on inductor (eqn. 1 and 2)

..(3)



On simplifying the eqn. 3

..(4)


b) Effect of non-idealities on voltage gain expression:


Fig. 3. Circuit configuration of conventional boost converter with non-idealities.

Voltage across inductor L:

Mode – I :

..(5)


Mode – II :

..(6)


Applying volt-sec balance on inductor (eqn. 5 and 6)

..(7)


On solving eqn. 7

..(8)


c) Voltage Regulation and Closed-loop Control:


In the event of battery voltage/load fluctuations, load voltage varies. However, DC-loads require constant voltage for their feasible/efficient operation, which demands automatic control. A simple PI-controller (proportional plus integral controller [2], see Fig. 5(a)) is capable of maintaining a constant load voltage despite the fluctuations (battery voltage/load). Here, the controller adjusts the pulse width of the PWM signal [2] according to the input error signal. As shown in Fig. 5(b), the error signal is the difference between the reference voltage and actual load voltage.

("For more Information on mathematical analysis, see references")