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PCB Busbar Frequency-Domain Models: Peak, RMS and Phasor Heating

PCB Busbar Frequency-Domain Models: Peak, RMS and Phasor Heating

At a glance

Check peak versus RMS phasor conventions and cycle-average heating in PCB busbar frequency-domain models, with a resistive sanity check.

Use the amplitude convention of the actual frequency-domain interface. With peak phasors, a 10 A RMS sinusoid has a peak of about 14.142 A. Do not halve a built-in cycle-average loss again if the normalization is already included.

Confirm the complex-amplitude definition

COMSOL explains reconstructing real time-domain fields from complex phasors. Real and imaginary components jointly determine magnitude and phase. This discussion concerns a linear single-frequency harmonic problem; DC bias, pulses and nonlinear systems need appropriate treatment.

Check a simple resistor first

Assume constant resistance of 1 milliohm and 10 A RMS sinusoidal current. Mean loss is 0.1 W. Under a peak convention, 14.142 A squared times resistance and divided by two gives approximately the same result; incorrectly entering 10 A peak gives 0.05 W. This is not a busbar rating.

Read the loss variable definition

For peak current-density and electric-field phasors, mean Joule heating commonly uses 0.5 Re(J dot conjugate(E)), in W/m3. Verify the actual interface and variable; do not apply another factor to RMS-normalized or already averaged output. A volume integral gives W.

Keep comparison inputs consistent

Archive frequency, source amplitude, normalization, phase and loss-variable name. Check electrical power against the resistive benchmark before evaluating skin, proximity or temperature effects. A normalization change must not be attributed solely to geometry.

Review records

ItemUnit or conditionRetain
SourceA, peak or RMSInterface convention
Local heatingW/m3Cycle averaging
Total lossWIntegration region and variable

Products and related methods

PCB SMD copper busbars · Pulsed busbar current explained with RMS and I²t

Question

Must thermal coupling be multiplied by 0.5 manually? Check whether the built-in loss is already averaged under the chosen convention.

Sources

COMSOL frequency-domain amplitude conventions;COMSOL electromagnetic heating workflow

The cover is an AI concept. The waveform and arrows are amplitude concepts, not an exact sinusoid or simulation output. No Hongchuan performance, equipment capability or test result is claimed.

Apply this to your component selection

Start with the product catalog and model guide. For a specific project, send the part number or drawing, quantity and key operating conditions. This article will be included in your enquiry for context.

Articles explain selection considerations and do not replace the confirmed drawing, test conditions or supply documents for a specific part. Check any cited source and its applicable edition for standards and parameters.