An Overview of Power Supply Design – 2024 Updated

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Introduction to Power Supply Design

A power supply is an electronic device that converts electrical energy from a source, such as the power grid or a battery, into a suitable form for powering electronic circuits and devices. The primary purpose of a power supply is to regulate the voltage and current supplied to the load, ensuring stable and reliable operation.

Key Functions of a Power Supply

  1. Voltage conversion: Transforming input voltage to the desired output voltage level.
  2. Regulation: Maintaining a constant output voltage or current despite variations in input voltage or load.
  3. Isolation: Providing electrical isolation between the input and output for safety and noise reduction.
  4. Protection: Safeguarding the power supply and connected devices from faults such as short circuits, overloads, and overvoltages.
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Components of a Power Supply

A typical power supply consists of several key components that work together to achieve the desired functionality. These components include:

Transformers

Transformers are essential components in power supplies that provide voltage conversion and isolation. They consist of primary and secondary windings wound around a magnetic core, allowing for the efficient transfer of electrical energy between the input and output.

Rectifiers

Rectifiers convert alternating current (AC) to direct current (DC) by allowing current to flow in only one direction. The two main types of rectifiers are:

  1. Half-wave rectifiers: Consist of a single diode that rectifies only one half of the AC waveform.
  2. Full-wave rectifiers: Utilize a bridge configuration of four diodes or a center-tapped transformer with two diodes to rectify both halves of the AC waveform.

Filters

Filters are used to smooth the rectified DC voltage by reducing the ripple and noise. The most common types of filters in power supplies are:

  1. Capacitor-input filters: Utilize a large capacitor to store energy and reduce voltage ripple.
  2. Inductor-input filters: Employ an inductor to smooth the current and reduce voltage ripple.

Regulators

Regulators maintain a constant output voltage or current despite variations in input voltage or load. There are two main types of regulators:

  1. Linear regulators: Use a variable resistance to control the output voltage, dissipating excess power as heat.
  2. Switching regulators: Utilize high-frequency switching techniques to efficiently control the output voltage or current.

Protection Circuits

Protection circuits safeguard the power supply and connected devices from various faults. Some common protection features include:

  1. Overcurrent protection: Limits the output current to prevent damage from short circuits or overloads.
  2. Overvoltage Protection: Prevents the output voltage from exceeding a safe level.
  3. Thermal protection: Shuts down the power supply in case of excessive temperature.

Power Supply Topologies

Power supply topologies refer to the specific arrangement of components and the method used to control the output voltage or current. The choice of topology depends on factors such as the input and output requirements, efficiency, cost, and size constraints.

Linear Power Supplies

Linear power supplies utilize a transformer to step down the AC input voltage, followed by a rectifier, filter, and linear regulator. They are simple and low-noise but have limited efficiency and power density.

Switched-Mode Power Supplies (SMPS)

Switched-mode power supplies employ high-frequency switching techniques to efficiently regulate the output voltage or current. They offer higher efficiency and power density compared to linear power supplies but are more complex and generate higher levels of electromagnetic interference (EMI).

Some common SMPS topologies include:

  1. Buck (Step-Down) Converter: Reduces the input voltage to a lower output voltage.
  2. Boost (Step-Up) Converter: Increases the input voltage to a higher output voltage.
  3. Buck-Boost Converter: Provides an output voltage that can be higher or lower than the input voltage.
  4. Flyback Converter: Utilizes a transformer for isolation and voltage conversion, suitable for low-power applications.
  5. Forward Converter: Employs a transformer for isolation and voltage conversion, suitable for medium-power applications.
  6. Push-Pull Converter: Uses a center-tapped transformer and two switches for higher power handling capability.
  7. Half-Bridge and Full-Bridge Converters: Utilize multiple switches and a transformer for high-power applications.
Topology Input Voltage Output Voltage Power Range Efficiency
Buck Converter High Low Low to Medium High
Boost Converter Low High Low to Medium High
Buck-Boost Variable Variable Low to Medium Moderate
Flyback High Isolated Low Moderate
Forward High Isolated Medium High
Push-Pull High Isolated Medium to High High
Half/Full-Bridge High Isolated High High

Power Supply Design Considerations

When designing a power supply, several key factors must be considered to ensure optimal performance, reliability, and safety.

Input and Output Requirements

The input and output voltage, current, and power specifications must be clearly defined based on the application requirements. This includes the input voltage range, output voltage regulation, maximum output current, and power rating.

Efficiency

Power supply efficiency is the ratio of output power to input power, expressed as a percentage. Higher efficiency reduces power loss, heat generation, and operating costs. The choice of topology, components, and control techniques significantly impacts efficiency.

Thermal Management

Proper thermal management is crucial to ensure reliable operation and prevent component damage. The power supply design must consider heat dissipation, component derating, and the use of heatsinks or forced cooling when necessary.

Electromagnetic Compatibility (EMC)

Power supplies must comply with electromagnetic compatibility standards to minimize interference with other electronic devices. This involves proper PCB layout, grounding, shielding, and the use of EMI filters.

Safety and Protection

The power supply design must incorporate appropriate safety features and protection circuits to prevent damage to the power supply itself and the connected devices. This includes isolation, overcurrent protection, overvoltage protection, and thermal shutdown.

Reliability and Quality

Robust component selection, manufacturing processes, and quality control measures are essential for ensuring long-term reliability. The use of high-quality components, proper derating, and thorough testing can help minimize the risk of failures and extend the power supply’s lifespan.

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” 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Best Practices for Power Supply Design

To optimize the performance, reliability, and safety of a power supply, consider the following best practices:

  1. Conduct a thorough analysis of the application requirements and select the most suitable power supply topology.
  2. Use high-quality, well-characterized components from reputable manufacturers.
  3. Implement proper grounding and shielding techniques to minimize EMI and ensure electromagnetic compatibility.
  4. Incorporate appropriate protection features such as overcurrent, overvoltage, and thermal protection.
  5. Perform comprehensive testing and validation, including environmental stress testing, to ensure reliable operation under various conditions.
  6. Follow industry standards and guidelines for safety, EMC, and energy efficiency.
  7. Consider the use of power supply design tools and simulation software to optimize the design and reduce development time.

Frequently Asked Questions (FAQ)

1. What is the difference between linear and switched-mode power supplies?

Linear power supplies utilize a linear regulator to control the output voltage, while switched-mode power supplies employ high-frequency switching techniques. Linear power supplies are simpler and have lower noise but are less efficient and have limited power density. Switched-mode power supplies offer higher efficiency and power density but are more complex and generate higher levels of EMI.

2. How do I select the appropriate power supply topology for my application?

The choice of power supply topology depends on factors such as the input and output voltage requirements, power level, efficiency targets, cost, and size constraints. Consider the specific needs of your application and evaluate the trade-offs between different topologies to select the most suitable one.

3. What are the key considerations for ensuring power supply reliability?

To ensure power supply reliability, use high-quality components, implement proper derating, incorporate appropriate protection features, and perform thorough testing and validation. Additionally, consider the operating environment and design for adequate thermal management and mechanical robustness.

4. How can I minimize electromagnetic interference (EMI) in my power supply design?

To minimize EMI, implement proper grounding and shielding techniques, use appropriate EMI filters, and follow good PCB layout practices. Ensure that the power supply complies with relevant EMC standards and regulations.

5. What are the safety considerations when designing a power supply?

Safety is paramount in power supply design. Ensure proper isolation between the input and output, incorporate overcurrent and overvoltage protection, and implement thermal protection to prevent overheating. Follow relevant safety standards and guidelines, such as UL, IEC, and EN standards, depending on the target market and application.

Conclusion

Power supply design is a critical aspect of electronic engineering that requires careful consideration of various factors, including topology selection, component choice, efficiency, thermal management, EMC, and safety. By understanding the fundamentals, following best practices, and staying up-to-date with the latest technologies and trends, engineers can design robust and efficient power supplies that meet the demands of modern electronic devices.

As technology continues to advance, power supply design will play an increasingly important role in enabling the development of more advanced, compact, and energy-efficient electronic systems. By mastering the art and science of power supply design, engineers can contribute to the creation of innovative solutions that power the future of electronics.

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