12 Useful PCB Design Rules and Tips to Follow – Newest Guide

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Introduction to PCB Design

Printed Circuit Board (PCB) design is a crucial step in the development of electronic devices. A well-designed PCB ensures that the device functions as intended, is reliable, and can be manufactured efficiently. However, designing a PCB can be a complex process, requiring knowledge of electrical engineering, materials science, and manufacturing processes.

In this guide, we will discuss 12 essential PCB design rules and tips that every designer should follow to create high-quality, reliable, and manufacturable PCBs. These rules and tips cover various aspects of PCB design, from component placement and routing to signal integrity and thermal management.

PCB Design Rule #1: Plan Your Design

Before starting your PCB design, it’s essential to plan your design carefully. This involves gathering all the necessary information about the device’s requirements, such as the number and type of components, power requirements, and environmental factors.

Factor Consideration
Components Number and type of components, package sizes, pin counts
Power Voltage and current requirements, power supply location
Environment Operating temperature range, humidity, vibration, EMI/EMC

By planning your design, you can ensure that your PCB meets all the necessary requirements and avoid costly redesigns later in the development process.

PCB Design Rule #2: Choose the Right PCB material

Selecting the appropriate PCB material is crucial for the performance and reliability of your device. The choice of material depends on various factors, such as the operating frequency, temperature range, and environmental conditions.

Common PCB materials include:

  • FR-4: A popular, low-cost material suitable for most applications
  • Rogers: High-frequency materials for RF and microwave applications
  • Polyimide: High-temperature materials for aerospace and automotive applications

Consider the properties of each material, such as the dielectric constant, loss tangent, and Thermal Conductivity, when choosing the right material for your design.

PCB Design Rule #3: Use a Grid System

Using a grid system in your PCB design helps to keep your components and traces aligned, making your design more organized and easier to manufacture. A grid system also ensures that your design adheres to the manufacturing capabilities of your chosen PCB fabricator.

When setting up your grid system, consider the following:

  • Component sizes and package types
  • Trace widths and clearances
  • Manufacturing tolerances

A well-defined grid system can help you avoid design rule violations and improve the overall quality of your PCB.

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” alt=”” class=”wp-image-136″ >

PCB Design Rule #4: Keep Your Design Compact

Keeping your PCB design compact has several benefits, such as reduced material costs, improved signal integrity, and better thermal management. To achieve a compact design, consider the following tips:

  • Use smaller components and package sizes when possible
  • Place components on both sides of the PCB
  • Use multi-layer PCBs to increase routing density
  • Optimize component placement to minimize trace lengths

A compact PCB design not only saves space but also improves the overall performance and reliability of your device.

PCB Design Rule #5: Minimize Crosstalk

Crosstalk is a phenomenon where signals from one trace interfere with signals on adjacent traces, causing signal integrity issues. To minimize crosstalk in your PCB design, follow these tips:

  • Increase the spacing between traces
  • Use guard traces or ground planes to shield sensitive signals
  • Route critical signals on inner layers, away from other signals
  • Use differential signaling for high-speed signals

By minimizing crosstalk, you can ensure that your signals remain clean and stable, improving the overall performance of your device.

PCB Design Rule #6: Optimize Your Power Distribution Network

A well-designed power distribution network (PDN) is essential for providing clean, stable power to your components. To optimize your PDN, consider the following tips:

  • Use wide traces or planes for power and ground
  • Place decoupling capacitors close to power-hungry components
  • Use a star or grid topology for power distribution
  • Simulate your PDN to identify and resolve issues

An optimized PDN ensures that your components receive the power they need to function properly, reducing the risk of signal integrity issues and improving the reliability of your device.

PCB Design Rule #7: Consider Thermal Management

Thermal management is crucial for ensuring that your components operate within their specified temperature ranges. Overheating can lead to reduced performance, reliability issues, and even device failure. To manage heat in your PCB design, consider the following tips:

  • Place high-power components away from heat-sensitive components
  • Use Thermal Vias to conduct heat away from components
  • Incorporate heatsinks or fans for active cooling
  • Use thermal simulations to identify and resolve hot spots

By effectively managing heat in your PCB design, you can ensure that your device operates reliably and maintains its performance over its entire lifespan.

PCB Design Rule #8: Follow Manufacturer’s Guidelines

Each component manufacturer provides guidelines for using their components in PCB designs. These guidelines include recommendations for pad sizes, spacing, and thermal management. Following these guidelines ensures that your components are used correctly and helps to avoid issues during manufacturing and assembly.

When designing your PCB, be sure to:

  • Read and understand the manufacturer’s datasheets and application notes
  • Use the recommended pad sizes and spacing for each component
  • Adhere to the manufacturer’s thermal management guidelines

By following the manufacturer’s guidelines, you can ensure that your PCB design is compatible with your chosen components and can be manufactured and assembled without issues.

PCB Design Rule #9: Use Design for Manufacturing (DFM) Principles

Design for Manufacturing (DFM) is a set of principles that help to ensure that your PCB design can be manufactured efficiently and reliably. DFM principles include:

  • Using standard component sizes and package types
  • Avoiding small or tight spacing between components and traces
  • Using consistent trace widths and spacing
  • Incorporating fiducial markers and tooling holes for automated assembly

By following DFM principles, you can reduce manufacturing costs, improve yields, and ensure that your PCB can be produced consistently and reliably.

PCB Design Rule #10: Perform Design Rule Checks (DRC)

Design Rule Checks (DRC) are automated checks that verify that your PCB design adheres to a set of predefined rules. These rules ensure that your design can be manufactured and assembled without issues and that it meets the requirements of your chosen PCB fabricator.

Common DRC checks include:

  • Minimum trace width and spacing
  • Minimum drill size and spacing
  • Copper-to-edge clearance
  • Solder mask and silkscreen rules

By performing DRC checks throughout the design process, you can identify and resolve issues early, reducing the risk of costly redesigns and manufacturing delays.

PCB Design Rule #11: Use Version Control

Version control is a system for managing changes to your PCB design files over time. By using version control, you can:

  • Track changes to your design files
  • Collaborate with other designers
  • Revert to previous versions if needed
  • Maintain a complete history of your design

Popular version control systems for PCB design include Git and Subversion. By using version control, you can streamline your design process, reduce the risk of errors, and ensure that your design files are always up-to-date.

PCB Design Rule #12: Test and Verify Your Design

Before sending your PCB design for manufacturing, it’s essential to test and verify your design to ensure that it functions as intended. Testing and verification can include:

  • Schematic and layout reviews
  • Simulation and analysis (e.g., signal integrity, thermal, EMI/EMC)
  • Prototyping and physical testing

By thoroughly testing and verifying your design, you can identify and resolve issues early, reducing the risk of costly redesigns and manufacturing delays.

Frequently Asked Questions (FAQ)

Q1: What is the most important PCB design rule to follow?

A1: While all PCB design rules are important, one of the most critical rules is to plan your design carefully before starting. This involves gathering all the necessary information about the device’s requirements and ensuring that your design meets these requirements.

Q2: How can I ensure that my PCB design is manufacturable?

A2: To ensure that your PCB design is manufacturable, follow Design for Manufacturing (DFM) principles, such as using standard component sizes and package types, avoiding small or tight spacing, and incorporating fiducial markers and tooling holes for automated assembly.

Q3: What is the purpose of performing Design Rule Checks (DRC)?

A3: Design Rule Checks (DRC) are automated checks that verify that your PCB design adheres to a set of predefined rules. These rules ensure that your design can be manufactured and assembled without issues and that it meets the requirements of your chosen PCB fabricator.

Q4: How can I manage heat in my PCB design?

A4: To manage heat in your PCB design, place high-power components away from heat-sensitive components, use thermal vias to conduct heat away from components, incorporate heatsinks or fans for active cooling, and use thermal simulations to identify and resolve hot spots.

Q5: Why is version control important in PCB design?

A5: Version control is important in PCB design because it allows you to track changes to your design files, collaborate with other designers, revert to previous versions if needed, and maintain a complete history of your design. By using version control, you can streamline your design process, reduce the risk of errors, and ensure that your design files are always up-to-date.

Conclusion

Designing a high-quality, reliable, and manufacturable PCB requires following a set of essential design rules and tips. By planning your design, choosing the right materials, using a grid system, minimizing crosstalk, optimizing your power distribution network, and considering thermal management, you can create a PCB that meets your device’s requirements and performs as intended.

Additionally, by following manufacturer’s guidelines, using DFM principles, performing DRC checks, using version control, and testing and verifying your design, you can ensure that your PCB can be manufactured efficiently and reliably.

By following these 12 essential PCB design rules and tips, you can streamline your design process, reduce the risk of errors and redesigns, and create high-quality PCBs that meet the needs of your electronic devices.

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