VM188

VM188
Force Calculation on a Current Carrying Conductor

Overview

Reference: F. C. Moon, Magneto-Solid Mechanics, John Wiley and Sons, Inc., New York, NY, 1984, pg. 418.
Analysis Type(s): Static Magnetic Field Analysis (ANTYPE = 0)
Element Type(s):
2D 8-Node Electromagnetic Solid Elements (PLANE233)
2D Infinite Solid Elements (INFIN110)
Input Listing:

vm188.dat

VM188 requires a supplemental .cdb input file which is too long to include full input listings. This file must be downloaded and placed in your working directory for the test case to run properly. Additionally, the geometry and mesh should be regenerated.

Download link: MAPDL Test Case Files for 2024 R2

vm188.cdb

Test Case

Two rectangular conductors, separated by centerline-to-centerline distance d, are carrying equal out-of-plane currents, I. Determine the resulting edge force density on the conductors.

Figure 289: Current Carrying Conductor Problem Sketch

Current Carrying Conductor Problem Sketch

Material PropertiesGeometric PropertiesLoading
μr = 1
μo = 4 π x 10-7 H/m
d = .010 m
a = .012 m
t = .002 m
I = 24 A

Analysis Assumptions and Modeling Notes

Due to the symmetric nature of the magnetic field, a 1/4 symmetry model is generated. The far-field effects are modeled with infinite solid elements. The lower order infinite elements are meshed first so that the higher order plane elements will appropriately drop their mid-side nodes during meshing.

Lorentz forces in the conductor are calculated for each element and are available from the post data file. The forces are obtained from a surface integral (line integral in 2D analysis) defined using the path calculation capabilities in POST1. Flux lines are displayed via the macro PLF2D.

The applied source current density is calculated as m2 = 1 x 106 A/m2.

Results Comparison

TargetMechanical APDLRatio
Edge force density, N/m (Lorentz)-0.009684-0.0097161.003
Edge force density, N/m (Maxwell)-0.009684-0.0097161.003