Synchronous Buck Converter

Overview

This demonstration shows a regulated synchronous buck converter with a fixed load and switched load in parallel. Fig. 1 shows the electrical circuit schematic of the converter. A proportional integral derivative (PID) controller regulates the output voltage of the converter.

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Fig. 1 Synchronous buck converter

Note

This model contains model initialization commands that are accessible from:
PLECS Standalone: the menu Simulation > Simulation Parameters… > Initializations
PLECS Blockset: right click in the Simulink model window > Model Properties > Callbacks > InitFcn*

Model

Power circuit

A synchronous buck converter topology is used to step down a \(12\,\mathrm{VDC}\) input to produce \(5\,\mathrm{VDC}\) at the output. The load consists of a \(5\,\Omega\) fixed resistive load as well as a \(5\,\Omega\) pulsed resistive load that cycles at \(200\,\mathrm{Hz}\). In a synchronous buck converter the freewheeling diode is augmented by an active switch, which has the advantage of improved converter efficiency in practice, although on-resistance of the MOSFETs and thermal loss modeling have not been included in this example. As compared to a traditional buck converter, a synchronous buck converter always operates in continuous conduction mode (CCM) since current can reverse in the second MOSFET.

Controller

The high-level schematic of the controller implementation is shown in Fig. 2. The control consists of a voltage compensator and soft-start scheme to limit the inductor inrush current during startup. The soft-start scheme ramps the modulation index, \(\mathrm{m}\), until the output voltage reaches a defined threshold, at which point the voltage compensator generates the modulation index for closed-loop control.

In closed-loop control the output voltage is measured and compared with a \(5\,\mathrm{VDC}\) set point. The sensed voltage error is the input to a Continuous PID Controller component from the PLECS Library. The controller gains are calculated using the buck converter parameters and the specified crossover frequency and phase margin [1]. The voltage controller determines the duty cycle of the FETs. The duty cycle range is limited between \(1\,\%\) and \(99\,\%\) by an anti-windup scheme that uses the Back-Calculation method.

The Symmetrical PWM component generates the gate signals for the MOSFETs using the modulation index from the soft-start scheme or voltage regulator. The two switches are modulated in a complementary manner. In practice, it is important not to gate both switches on at the same time to avoid shoot-through. This is prevented by introducing a dead time to delay the turn-on of the opposing switches.

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Fig. 2 Top-level schematic of control system

Simulation

The simulation result shown in Fig. 3 demonstrates the start-up of the converter and two load current steps. During each load current change a transient in the output voltage and the response of the controller can be observed.

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Fig. 3 Simulation result of synchronous buck converter in closed loop under load step

Conclusion

This model highlights a synchronous buck converter with a soft-start scheme and closed loop voltage regulation. It makes use of the Continuous PID Controller block from the PLECS component library.

Bibliography

[1]

L. Corradini, Maksimović Dragan, P. Mattavelli, and R. Zane, Digital control of high-frequency switched-mode power converters. Hoboken, NJ: IEEE, John Wiley & Sons Inc., 2015.