𝐃𝐞𝐬𝐢𝐠𝐧 𝐨𝐟 𝐁𝐮𝐜𝐤 𝐁𝐨𝐨𝐬𝐭 𝐂𝐨𝐧𝐯𝐞𝐫𝐭𝐞𝐫 𝐰𝐢𝐭𝐡 𝐏𝐈𝐃 𝐂𝐨𝐧𝐭𝐫𝐨𝐥𝐥𝐞𝐫

𝐃𝐞𝐬𝐢𝐠𝐧 𝐨𝐟 𝐁𝐮𝐜𝐤 𝐁𝐨𝐨𝐬𝐭 𝐂𝐨𝐧𝐯𝐞𝐫𝐭𝐞𝐫 𝐰𝐢𝐭𝐡 𝐏𝐈𝐃 𝐂𝐨𝐧𝐭𝐫𝐨𝐥𝐥𝐞𝐫

Product Link: https://www.lmssolution.net.in/product-page/design-of-buck-boost-converter-with-pid-controller

𝐋𝐞𝐚𝐫𝐧 𝐁𝐮𝐜𝐤–𝐁𝐨𝐨𝐬𝐭 𝐂𝐨𝐧𝐯𝐞𝐫𝐭𝐞𝐫 𝐃𝐞𝐬𝐢𝐠𝐧

• Design a 250 W buck–boost converter using MATLAB and Simulink• Calculate the required inductor, capacitor, duty cycle, and load• Regulate the negative output voltage using a closed-loop controller• Tune the controller automatically using the MATLAB PID Tuner• Verify voltage tracking under step changes in the reference voltage

The designed converter regulates its output near −12 V with low voltage ripple and accurately follows a changing voltage reference.

#MATLAB #Simulink #BuckBoostConverter #PIDController #PowerElectronics #ConverterDesign #ControlSystems

𝐃𝐞𝐬𝐢𝐠𝐧 𝐨𝐟 𝐁𝐮𝐜𝐤 𝐁𝐨𝐨𝐬𝐭 𝐂𝐨𝐧𝐯𝐞𝐫𝐭𝐞𝐫 𝐰𝐢𝐭𝐡 𝐏𝐈𝐃 𝐂𝐨𝐧𝐭𝐫𝐨𝐥𝐥𝐞𝐫 𝐢𝐧 𝐌𝐀𝐓𝐋𝐀𝐁Product Link: https://www.lmssolution.net.in/product-page/design-of-buck-boost-converter-with-pid-controller

Design a 250 W buck–boost converter in MATLAB/Simulink. Learn converter parameter selection, duty-cycle control, PID Tuner-based plant identification, closed-loop voltage regulation, and reference tracking. The output is regulated near −12 V with low ripple.

Design of Buck boost converter with PID controller

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#MATLAB #Simulink #BuckBoostConverter #PIDController #PowerElectronics #VoltageControl #Engineering

𝐃𝐞𝐬𝐢𝐠𝐧 𝐨𝐟 𝐁𝐮𝐜𝐤 𝐁𝐨𝐨𝐬𝐭 𝐂𝐨𝐧𝐯𝐞𝐫𝐭𝐞𝐫 𝐰𝐢𝐭𝐡 𝐏𝐈𝐃 𝐂𝐨𝐧𝐭𝐫𝐨𝐥𝐥𝐞𝐫 𝐢𝐧 𝐌𝐀𝐓𝐋𝐀𝐁Product Link: https://www.lmssolution.net.in/product-page/design-of-buck-boost-converter-with-pid-controller

𝐈𝐧𝐭𝐫𝐨𝐝𝐮𝐜𝐭𝐢𝐨𝐧

A buck–boost converter is a DC–DC power converter capable of operating in both step-down and step-up modes. In the conventional inverting configuration, its output voltage has the opposite polarity to the input voltage.

This MATLAB and Simulink model demonstrates the complete design and closed-loop control of a 250 W buck–boost converter. The converter is designed to produce a regulated output voltage of approximately −12 V from a DC input operating between 27 V and 32 V.

The model also demonstrates controller tuning using the MATLAB PID Tuner, plant identification, voltage regulation, and reference-voltage tracking.

𝐒𝐲𝐬𝐭𝐞𝐦 𝐎𝐯𝐞𝐫𝐯𝐢𝐞𝐰

The converter consists of the following main components:

• DC input voltage source• IGBT with antiparallel diode• Energy-storage inductor• Freewheeling diode• Output filter capacitor• Resistive load• Voltage and current measurement blocks• PWM or pulse generator• Closed-loop voltage controller• Powergui block• Scope for observing voltage, current, and power

The switching device is controlled by a pulse generator operating at the selected switching frequency. The output voltage is measured and compared with the reference voltage to generate the controller error.

𝐃𝐞𝐬𝐢𝐠𝐧 𝐏𝐚𝐫𝐚𝐦𝐞𝐭𝐞𝐫𝐬

Parameter	Value
Converter rated power	250 W
Minimum input voltage	27 V
Maximum input voltage	32 V
Nominal operating voltage	30.7 V
Required output voltage	−12 V
Switching frequency	10 kHz
Initial duty cycle	0.307
Selected load resistance	Approximately 0.6 Ω
Converter type	Inverting buck–boost converter

The inductor and output capacitor values are calculated before developing the Simulink model. These components influence current ripple, output-voltage ripple, transient performance, and converter stability.

𝐒𝐢𝐦𝐮𝐥𝐢𝐧𝐤 𝐌𝐨𝐝𝐞𝐥 𝐂𝐨𝐦𝐩𝐨𝐧𝐞𝐧𝐭𝐬

Component	Purpose
DC voltage source	Supplies the converter input voltage
IGBT switch	Controls energy transfer through high-frequency switching
Inductor	Stores and releases magnetic energy
Diode	Provides the required current path when the switch turns off
Output capacitor	Reduces output-voltage ripple
Resistive load	Represents the connected electrical load
Pulse generator	Produces switching pulses for the IGBT
Voltage sensor	Measures the output voltage
Current sensor	Measures the load current
Product block	Calculates output power from voltage and current
Scope	Displays voltage, current, and power
Powergui	Configures the Specialized Power Systems simulation

𝐖𝐨𝐫𝐤𝐢𝐧𝐠 𝐏𝐫𝐨𝐜𝐞𝐬𝐬

01) Switch-ON Condition

When the IGBT is turned ON:

• The DC source supplies current to the inductor• Energy is stored in the inductor• The diode remains reverse-biased• The output capacitor supplies the load temporarily

02) Switch-OFF Condition

When the IGBT is turned OFF:

• The inductor releases its stored energy• Current flows through the diode• The output capacitor and load receive energy• The output voltage develops with negative polarity

03) Duty-Cycle Regulation

The duty cycle determines the relationship between the input and output voltage. A constant duty cycle of approximately 0.307 is initially applied to test the open-loop converter.

Open-loop operation produces an output near the required voltage, but accurate regulation cannot be maintained under operating changes. Therefore, closed-loop control is introduced.

𝐎𝐩𝐞𝐧-𝐋𝐨𝐨𝐩 𝐓𝐞𝐬𝐭𝐢𝐧𝐠

The initial Simulink model operates using a fixed duty cycle.

Open-Loop Setting	Value
Input voltage	30.7 V
Duty cycle	0.307
Switching frequency	10 kHz
Desired output voltage	−12 V

The open-loop output remains near the desired operating region. However, voltage error and ripple remain because the duty cycle is not automatically adjusted.

The limitations of open-loop control include:

• Inability to correct steady-state voltage error• Poor response to reference-voltage changes• Sensitivity to input-voltage variation• Sensitivity to load variation• Lack of automatic voltage regulation

𝐂𝐨𝐧𝐭𝐫𝐨𝐥 𝐒𝐭𝐫𝐚𝐭𝐞𝐠𝐲

The closed-loop controller receives the difference between the reference voltage and measured output voltage.

The control process includes:

1. Measuring the converter output voltage

2. Comparing it with the negative reference voltage

3. Generating the voltage error

4. Processing the error through the controller

5. Producing the required duty-cycle command

6. Applying the command to the pulse generator

7. Regulating the IGBT switching operation

8. Maintaining the required output voltage

Because the converter output has negative polarity, the feedback sign and controller gains must be selected carefully.

𝐏𝐈𝐃 𝐓𝐮𝐧𝐞𝐫 𝐚𝐧𝐝 𝐏𝐥𝐚𝐧𝐭 𝐈𝐝𝐞𝐧𝐭𝐢𝐟𝐢𝐜𝐚𝐭𝐢𝐨𝐧

The controller is tuned using the MATLAB PID Tuner and plant-identification tools.

Tuning procedure

1. Open the controller block

2. Select the controller tuning option

3. Launch the PID Tuner application

4. Select plant identification

5. Generate input–output data from the Simulink model

6. Apply a duty-cycle variation to excite the converter

7. Collect the converter response

8. Estimate the plant model

9. Compare measured and identified responses

10. Tune the controller response

11. Update the controller block

12. Simulate the complete closed-loop system

Identification settings described in the model

Identification Parameter	Value
Initial excitation level	0.15
Final excitation level	0.45
Excitation amplitude	0.30
Identified plant form	First-order transfer-function model

The measured identification data and estimated plant response are compared in the PID Tuner. A close overlap indicates that the identified model represents the converter response adequately for controller tuning.

𝐂𝐨𝐧𝐭𝐫𝐨𝐥𝐥𝐞𝐫 𝐆𝐚𝐢𝐧𝐬

The tuning procedure produces the following reported controller gains:

Controller Parameter	Tuned Value
Proportional gain, Kp	−0.01572
Integral gain, Ki	−0.0677

The demonstrated tuning provides proportional and integral gains. A derivative gain was not specified in the transcript, although the MATLAB PID Tuner is used for the tuning workflow.

The negative gain values arise from the negative-polarity output and the selected feedback configuration.

𝐒𝐢𝐦𝐮𝐥𝐚𝐭𝐢𝐨𝐧 𝐑𝐞𝐬𝐮𝐥𝐭𝐬

After updating the controller parameters and running the simulation, the converter output settles near the required negative voltage.

Result	Observed Performance
Regulated output voltage	Approximately −12 V
Output-voltage ripple	Approximately ±0.1 V
Reference tracking	Successful
Closed-loop stability	Stable response reported
Step-response test	Output follows the changed reference
Final reference after step	Approximately −10 V
Step-change time	5 seconds

The controller reduces the voltage error and maintains the output near −12 V. Only a small ripple is observed around the regulated value.

𝐑𝐞𝐟𝐞𝐫𝐞𝐧𝐜𝐞-𝐕𝐨𝐥𝐭𝐚𝐠𝐞 𝐓𝐫𝐚𝐜𝐤𝐢𝐧𝐠

A step input is applied to evaluate the dynamic performance of the controller.

The test changes the reference voltage after 5 seconds. The output voltage follows the new command and settles near −10 V.

This test confirms that the controller can:

• Track different voltage commands• Adjust the switching duty cycle automatically• Reduce steady-state voltage error• Maintain stable converter operation• Respond to reference-voltage changes

𝐎𝐩𝐞𝐧-𝐋𝐨𝐨𝐩 𝐚𝐧𝐝 𝐂𝐥𝐨𝐬𝐞𝐝-𝐋𝐨𝐨𝐩 𝐂𝐨𝐦𝐩𝐚𝐫𝐢𝐬𝐨𝐧

Feature	Open-Loop Control	Closed-Loop Control
Duty-cycle adjustment	Fixed	Automatic
Voltage feedback	Not used	Used
Reference tracking	Limited	Effective
Voltage-error correction	Not available	Available
Response to operating changes	Poorer	Improved
Output-voltage regulation	Approximate	Accurate
Controller tuning	Not required	PID Tuner based

𝐊𝐞𝐲 𝐅𝐞𝐚𝐭𝐮𝐫𝐞𝐬

• Complete buck–boost converter design workflow• MATLAB-based parameter calculation• Simulink power-electronics model• 250 W converter rating• Negative output-voltage operation• 10 kHz switching frequency• IGBT-based switching stage• Inductor and capacitor design• Output voltage, current, and power measurement• Open-loop duty-cycle testing• Closed-loop voltage control• MATLAB PID Tuner integration• Plant identification using simulation data• Automatic controller-gain calculation• Output regulation near −12 V• Low output-voltage ripple• Step-reference tracking analysis

𝐀𝐩𝐩𝐥𝐢𝐜𝐚𝐭𝐢𝐨𝐧𝐬

This buck–boost converter control model is useful for studying:

• Renewable-energy conversion systems• Battery charging and discharging interfaces• DC microgrids• Electric-drive power supplies• Portable electronic systems• Regulated DC power supplies• Automotive electronic converters• Industrial DC control systems• Solar photovoltaic converter interfaces• Power-electronics controller tuning• Closed-loop voltage-control techniques

𝐋𝐞𝐚𝐫𝐧𝐢𝐧𝐠 𝐎𝐮𝐭𝐜𝐨𝐦𝐞𝐬

After studying this model, learners can understand:

• How a buck–boost converter operates• Why the output voltage has negative polarity• How converter components are selected• How the load resistance is determined• How the switching frequency affects operation• How to construct the converter in Simulink• How to generate PWM switching signals• How to implement voltage feedback• How to identify a converter plant• How to tune a controller using MATLAB PID Tuner• How to evaluate output-voltage ripple• How to test reference-voltage tracking

𝐂𝐨𝐧𝐜𝐥𝐮𝐬𝐢𝐨𝐧

The Design of Buck Boost Converter with PID Controller in MATLAB demonstrates the complete process of converter calculation, Simulink model development, open-loop testing, plant identification, controller tuning, and closed-loop voltage regulation.

The 250 W converter operates from a nominal input of 30.7 V and regulates its output near −12 V. The MATLAB PID Tuner-based control approach improves voltage regulation, reduces steady-state error, and enables the output to follow a changing reference command.

This model provides a clear and practical learning resource for students, researchers, and engineers working with DC–DC converters, power electronics, MATLAB, Simulink, plant identification, and closed-loop voltage control.