QuickField

A new approach to field modelling
 Language: Global English Deutch Espanol Francais Italiano Danmark Ceske Chinese Pycckuü

order

evaluation

editions

version history

packages

components

programming

consulting

industrial

educational

scientific

sample problems

success stories

customers

 webinars virtual classroom online courses customer login glossary quickfield help faq
 quickfield student edition user manual data libraries video free tools
 product news events blog publications subscription
 tera analysis info resellers contact us online chat about us

 Examples gallery Step-by-step tutorials Verification examples Programming examples Distributive examples

>> >> ﻿

# PCB heating

The voltage is applied to the sides of conducting sheet placed vertically and surrounded by the still air. The flowing current heats the sheet due to resistive losses. The front and back surfaces of the sheet are cooled by the air (natural convection).

Problem Type:
Plane problem of electro-thermal coupling.

Geometry: Given:

Data for magnetic analysis:
Sheet thickness d = 0.035 mm;
Material resistance ρ = 2·10-8 Ohm/m;
Current I = 10 A;
Material heat conductivity λ = 380 W/K·m;
Convection coefficient α = 10 W/K·m2;

Problem:
Calculate the temperature and potential distribution in a conducting sheet.

Solution:
The resistive losses are calculated in the DC conduction problem. Then these losses are transferred to the linked heat transfer problem.
The sheet is cooled by convection from the front and back surface (total) F(T) = -α·(T - T0)·(Afront + Aback), where α is a convection coefficient, and T0 is an ambient temperature, Afront, Aback - area of front and back surfaces, respectively.

The convection from other surfaces is ignored. We put T0 = 0 K and calculate overheating. The convection is modelled by the volume heat sink Q(T) = -k·T, where coefficient k = 2α/d. Results:
Potential distribution and current paths in the pcb Temperature distribution in the pcb (overheating) The pcb_current.pbm is the problem of calculating the current distribution, and pcb_heat.pbm analyzes temperature field. Download simulation files (files may be viewed using any QuickField Edition).