MT Copper Busbar Specifications for Medium-Voltage Systems

Copper Busbar Ampacity: A Calculation Guide

Welcome to the definitive guide on copper busbar ampacity. If you are involved in electrical engineering, industrial power distribution, or high-end manufacturing, you know that selecting the right busbar isn’t just about “fitting it into the box.” It’s about thermal management, safety, and long-term efficiency.

As the Editor-in-Chief at JUMAI TECH (Deepdrawtech.com), I’ve spent years on the factory floor and in the design lab focusing on precision copper busbars and deep-drawn components. I’ve seen firsthand how a slight miscalculation in ampacity can lead to catastrophic system failures or, at the very least, significant energy waste. This guide is designed to bridge the gap between complex physics and practical application, helping you master the art of busbar sizing.

Understanding the Fundamentals of Busbar Ampacity

Copper Busbar Ampacity: A Calculation Guide

Before we dive into formulas and charts, we need to define what we are actually measuring. Ampacity—a portmanteau of “ampere capacity”—is the maximum amount of electric current a conductor can carry continuously before exceeding its temperature rating.

What is Ampacity?

In the world of copper busbars, ampacity is not a fixed number. Unlike a SKU or a part dimension, ampacity is a dynamic variable influenced by the environment. If you take a 10mm x 50mm copper bar and place it in a chilled server room, its ampacity is significantly higher than if you placed that same bar inside a sealed, unventilated industrial oven.

The goal of calculating ampacity is to ensure that the heat generated by electrical resistance (Joule heating) is dissipated into the surrounding environment at a rate that keeps the copper within safe operating limits. Typically, for high-purity copper used in JUMAI TECH products, we aim for a temperature rise (ΔT) of 30°C to 50°C above the ambient temperature.

The Role of Copper Purity and Conductivity

Not all copper is created equal. In the precision stamping and busbar industry, we primarily use C11000 ETP (Electrolytic Tough Pitch) copper or C10200 OF (Oxygen-Free) copper. These materials offer an IACS (International Annealed Copper Standard) rating of 100% or higher.

The conductivity of the material directly dictates the resistance. According to Ohm’s Law and the power formula P = I2R, even a minor increase in resistance due to impurities can lead to a massive increase in heat generation. When we manufacture custom busbars at JUMAI TECH, we ensure the material grain structure is optimized through precise machining to maintain maximum conductivity.


The Core Physics: How Heat Dissipation Works

To calculate ampacity accurately, you must understand how a busbar loses heat. A busbar doesn’t just sit there; it is a thermal engine interacting with its environment through three primary mechanisms.

Convection: The Air Factor

Convection is often the most significant contributor to cooling. As the busbar heats up, it warms the air touching its surface. This warm air rises (natural convection) or is pushed away by fans (forced convection), carrying heat with it.

The surface area of the busbar is the hero here. This is why rectangular busbars are preferred over round rods in high-current applications; they offer a much higher surface-area-to-volume ratio. At JUMAI TECH, we often recommend specific orientations (vertical vs. horizontal) to our clients to maximize natural convection currents.

Radiation: The “Emissivity” Secret

Every object emits infrared energy. The efficiency of this emission is called emissivity. Bright, shiny, newly polished copper actually has very low emissivity (around 0.05). This means it’s terrible at radiating heat.

However, if you paint the busbar matte black or if it develops a natural dull patina over time, the emissivity can jump to 0.90. This can increase the total ampacity of the bar by 10% to 15% simply by changing the surface finish. We often provide plated (tin or silver) or coated busbars to help our customers balance corrosion resistance with thermal performance.

Conduction: The Physical Connection

While convection and radiation deal with the air, conduction deals with where the busbar is bolted. Heat travels through the busbar into the supports, the switchgear frame, and the cables connected to it. While we usually ignore conduction in “free air” calculations for safety margins, in tight deep-drawn enclosures, it becomes a vital part of the thermal puzzle.


The Step-by-Step Calculation Process

Calculating the exact ampacity involves some math, but we can simplify it using standardized formulas derived from IEEE and IEC standards.

The Basic Formula for Continuous Current

A widely accepted formula for estimating the ampacity of a copper busbar is:

I=kA0.5P0.39ΔT0.61I = k \cdot A^{0.5} \cdot P^{0.39} \cdot \Delta T^{0.61}

Where:

  • I = Current (Amps)
  • k = Constant (varies based on material and environment, often around 0.8 to 1.2)
  • A = Cross-sectional area (mm2)
  • P = Perimeter of the bar (mm)
  • ΔT = Temperature rise above ambient (°C)

Factors Affecting the “k” Value

The “k” constant is where the “art” of engineering comes in. It accounts for:

  1. AC vs. DC: AC current suffers from the “skin effect,” where electrons tend to flow near the surface, effectively increasing resistance.
  2. Frequency: Higher frequencies (like those in some specialized medical or aerospace deep-drawn components) exacerbate the skin effect.
  3. Proximity Effect: If multiple busbars are placed close together, their magnetic fields interact, further crowding the current and raising the temperature.

Quick Reference: Standard Ampacity Table

For those who need a quick estimate before diving into custom CAD designs, the following table provides a baseline for Single Copper Bars (C11000) in still air with a 30°C temperature rise.

Dimensions (mm)Cross-Section (mm2)Approx. Ampacity (DC)Approx. Ampacity (60Hz AC)
15 X 345180175
20 X 5100320310
30 X 10300750720
50 X 1050011001050
100 X 10100020001850

Note: These values are conservative estimates. For precise applications, especially involving our custom deep-drawn housings, always run a thermal simulation.


Advanced Considerations: Skin Effect and Proximity

Advanced Considerations: Skin Effect and Proximity

As we move into higher amperages (above 2000A), the physics becomes less intuitive. You cannot simply double the width of a busbar and expect to double the ampacity.

The Skin Effect in Large Busbars

In AC systems, the magnetic field created by the current induces “eddy currents” that push the primary current toward the outer edges of the copper. For a standard 60Hz system, the “skin depth” is about 8.5mm.

If your busbar is 20mm thick, the center of that bar is carrying almost no current. It’s just “dead weight” adding cost without adding capacity. This is why JUMAI TECH often advises clients to use multiple thinner bars (e.g., two 10mm bars with a gap) rather than one massive 20mm bar. The gap allows for air circulation and significantly reduces the skin effect.

The Proximity Effect in Multi-Phase Systems

When you have three phases (L1, L2, L3) running parallel, the magnetic field of one bar influences the current distribution in the next. If the bars are too close, the current will “bunch” on one side of the bar, creating localized hot spots.

To mitigate this, we use specific spacing rules. A common rule of thumb is to keep the space between bars equal to the thickness of the bars themselves. In our precision stamping die designs, we factor in these clearances to ensure that the final assembly meets UL 891 standards.


Skin Effect and Frequency Impact

While we briefly touched on the skin effect, it’s crucial to understand how it scales with frequency, especially in modern power electronics like VFDs (Variable Frequency Drives) and Induction Heating systems.

Calculating Skin Depth

The skin depth (δ) can be calculated using:

δ=ρπfμ\delta = \sqrt{\frac{\rho}{\pi f \mu}}

Where:

  • δ = Resistivity of copper
  • f = Frequency
  • μ = Magnetic permeability

At JUMAI TECH, we see more clients moving toward high-frequency applications. In these cases, we might suggest Litz wire or extremely thin, wide deep-drawn copper shields to manage the current distribution. If your application operates at 10kHz, your effective copper usage might only be 0.5mm deep!


Environmental Factors and Derating

A calculation is only as good as the assumptions you make about the environment. If you calculate for a lab and install in a desert, things will melt.

Ambient Temperature Adjustments

Most ampacity tables assume an ambient temperature of 30°C or 40°C. If your equipment is installed in an environment where the ambient temperature is 55°C, you must “derate” the busbar.

The derating formula is typically:

Inew=ItableTmaxTambient_newTmaxTambient_tableI_{new} = I_{table} \cdot \sqrt{\frac{T_{max} – T_{ambient\_new}}{T_{max} – T_{ambient\_table}}}

This square-root relationship means that as the ambient temperature rises, your available ampacity drops faster than you might expect.

Altitude and Air Density

Thin air is a poor heat conductor. If your project is at a high altitude (above 2000 meters), the convection cooling is less effective. Standard engineering practice requires a derating of approximately 10% for every 1000 meters of additional elevation. This is a critical factor for our clients in the telecommunications and aerospace sectors who use our precision stamping parts in high-altitude base stations.


Bolted Joints and Contact Resistance

Bolted Joints and Contact Resistance

The weakest link in any busbar system is almost never the copper bar itself—it’s the joint. A poorly made connection creates a “bottleneck” where resistance spikes.

The Importance of Pressure

When two copper bars are bolted together, they only touch at microscopic peaks (called “asperities”). To get low resistance, you need enough pressure to flatten these peaks and create a true metallic interface.

At JUMAI TECH, we specialize in Precision Stamping Dies that ensure the contact surfaces of our busbars are perfectly flat. If a surface is bowed or warped during a low-quality stamping process, no amount of bolting pressure will fix the resulting hot spot.

Plating and Oxidation

Copper oxidizes quickly, forming a layer of copper oxide which is essentially an insulator. To prevent this, we offer:

  1. Tin Plating: Great for general use and prevents oxidation.
  2. Silver Plating: The gold standard for conductivity. Silver oxide is actually conductive, making it the safest choice for high-heat joints.
  3. Nickel Plating: Used in highly corrosive environments.

Torque Specifications for Busbar Bolts

Using the right hardware is essential. We recommend high-strength steel bolts (Grade 8.8 or higher) with Belleville (conical) washers. These washers maintain constant pressure even as the copper expands and contracts during thermal cycles.

Bolt SizeRecommended Torque (Nm) – Non-Lubricated
M610 – 12
M820 – 25
M1040 – 50
M1270 – 85

Why Choose JUMAI TECH for Your Busbar Needs?

With decades of experience in Deep-Drawn Components and Precision Copper Busbars, JUMAI TECH is more than just a manufacturer; we are your engineering partner.

Customization and Precision

We don’t just sell “off-the-shelf” bars. We use advanced CNC machining and precision stamping to create busbars that fit perfectly into your complex assemblies. Whether you need integrated fasteners, complex bends, or specialized insulation (like epoxy coating or heat shrink), we have the technical expertise to deliver.

Quality Assurance

Our facility is dedicated to the highest standards of quality. Every piece we produce undergoes rigorous inspection to ensure dimensional accuracy and material purity. We understand that in the power industry, “close enough” is never good enough. Our deep-drawn components are used in sensitive sensors and power modules where a fraction of a millimeter makes the difference between success and failure.


Mastering the Flow of Power

Calculating copper busbar ampacity is a balance of physics, material science, and environmental awareness. By understanding the relationship between cross-sectional area, surface area, and heat dissipation, you can design systems that are both safe and cost-effective.

Remember that the data provided in charts is a starting point. Real-world variables like enclosure airflow, proximity to other conductors, and duty cycles must be accounted for to ensure a robust design.

Would you like me to provide a custom thermal calculation for your specific busbar dimensions and ambient conditions? Reach out to us at JUMAI TECH, and let’s power your next project with precision.