Printed Circuit Board (PCB ) design is a crucial aspect of electronic product development. It involves the layout and routing of electronic components on a board to create a functional circuit. With the increasing complexity of electronic devices, multi layer PCB design has become a necessity to accommodate the high number of components and intricate routing requirements.
What is a Multi Layer PCB?
A multi layer PCB is a printed circuit board that consists of multiple conductive layers laminated together with insulating material in between. The layers are interconnected using vias, which are small holes drilled through the board and plated with conductive material. Multi layer PCBs offer several advantages over single layer boards, including:
Increased routing density
Improved signal integrity
Better power distribution
Reduced electromagnetic interference (EMI)
Advantages of Multi Layer PCBs
Advantage
Description
Increased routing density
Multi layer PCBs allow for more complex routing and higher component density, enabling smaller board sizes.
Improved signal integrity
By separating sensitive signals on different layers and using proper grounding techniques, multi layer PCBs can minimize crosstalk and improve signal quality.
Better power distribution
Dedicated power and ground planes in multi layer PCBs provide low-impedance paths for power distribution, reducing voltage drops and improving overall system performance.
Reduced EMI
Proper layer stacking and grounding in multi layer PCBs can help minimize electromagnetic interference, ensuring compliance with EMC regulations.
Designing Multi Layer PCBs in Altium
Altium Designer is a popular PCB design software that offers a comprehensive set of tools for creating multi layer PCBs. It provides a user-friendly interface and advanced features to streamline the design process.
Setting Up a Multi Layer PCB Project
Launch Altium Designer and create a new PCB project.
Define the layer stack by specifying the number of layers, their names, and materials.
Set the design rules, including Track Width , via size, and clearance requirements.
Import or create the schematic and component libraries.
Placing Components and Routing Traces
Place the components on the board according to the schematic and design requirements.
Define the component footprints and pad sizes.
Route the traces on the appropriate layers, following the design rules and best practices for signal integrity .
Use vias to connect traces between layers.
Power and Ground Planes
Assign dedicated layers for power and ground planes.
Create solid Copper fills for the power and ground layers to provide low-impedance paths.
Use proper decoupling capacitors near power pins to minimize noise and ensure stable power delivery.
Signal Integrity and EMI Considerations
Separate sensitive signals, such as high-speed traces, on different layers to minimize crosstalk.
Use proper grounding techniques, such as ground planes and stitching vias, to minimize ground loops and reduce EMI.
Follow recommended layout guidelines for high-speed interfaces, such as differential pairs and controlled impedance traces.
Ground Free Area in Altium
A ground free area, also known as a copper-free area or a keep-out region, is a designated area on a PCB where no copper is allowed. It is commonly used to create isolation between different sections of the board or to comply with manufacturing requirements.
Creating a Ground Free Area
To create a ground free area in Altium Designer:
Select the layer on which you want to create the ground free area.
Use the polygon tool to draw the desired shape of the ground free area.
Assign the polygon to the “Keep-Out” layer.
Define the clearance rules for the keep-out region.
Applications of Ground Free Areas
Ground free areas are used in various scenarios, such as:
Providing isolation between analog and digital sections of the board.
Creating space for mechanical components or connectors.
Accommodating high-voltage areas or spark gaps.
Complying with manufacturing constraints, such as edge clearance or panelization requirements.
Best Practices for Multi Layer PCB Design
To ensure a successful multi layer PCB design , consider the following best practices:
Plan the layer stack and routing strategy before starting the layout.
Follow the design rules and constraints set by the manufacturer and the specific application.
Use a consistent naming convention for layers, nets, and components.
Minimize the use of vias and keep them away from sensitive signals.
Provide adequate clearance and creepage distances for high-voltage areas.
Perform signal integrity simulations and EMI analysis to verify the design.
Collaborate with the manufacturing team to ensure manufacturability and reliability.
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” 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Conclusion
Multi layer PCB design is a complex process that requires careful planning, attention to detail, and adherence to best practices. Altium Designer provides a powerful toolset for creating multi layer PCBs, including the ability to define ground free areas for isolation and manufacturing requirements. By following the guidelines and best practices outlined in this article, designers can create reliable and high-performance multi layer PCBs for various applications.
Frequently Asked Questions (FAQ)
Q: What is the minimum number of layers required for a multi layer PCB?
A: The minimum number of layers for a multi layer PCB is four, consisting of two signal layers, one power plane, and one ground plane.
Q: How do vias affect signal integrity in multi layer PCBs?
A: Vias can introduce discontinuities and impedance mismatches, which can degrade signal integrity. To minimize the impact, it is recommended to use smaller vias, avoid vias in sensitive signal paths, and use techniques like via stitching and back-drilling.
Q: What is the purpose of a ground plane in a multi layer PCB?
A: A ground plane serves as a low-impedance return path for signals, reduces ground loops, and helps minimize electromagnetic interference (EMI). It also provides shielding between layers and improves overall system performance.
Q: How do you create a ground free area in Altium Designer?
A: To create a ground free area in Altium Designer, draw a polygon on the desired layer, assign it to the “Keep-Out” layer, and define the clearance rules for the keep-out region.
Q: What are some common design challenges in multi layer PCB design?
A: Common design challenges include managing signal integrity, minimizing crosstalk and EMI, ensuring proper power distribution, achieving manufacturability, and complying with specific application requirements such as high-speed interfaces or high-voltage isolation.
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