Hioki RM2610 - Page 88

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RM2612 Resistance Calculation Software
Comparison of potential values for the nite volume model and an analytical
solution
The following table compares calculated potential values from an analytical solution and calculated potential values
from the nite volume model for a single-layer substance:
Parameters of the electrode sheet used as a model
Single-layer substance
NORMAL: 3.1%
FINE: 2.0%
SUPER FINE: 1.0%
Volume resistivity: 0.1
Ω
cm
Thickness: 100 μm
Analytical solution: Solution obtained by solving the Poisson equation for potential algebraically
Comparison of potential values for the nite volume model
and an analytical solution
(Potential 120 μm from the probe applying the current)
Potential difference [%]
0 0.2
2.00
2.50
3.00
Element size
equivalent to
SUPER FINE
Element size (where NORMAL = 1)
3.50
0.00
0.50
0.4 0.6 1
1.00
1.50
0.8
Element size
equivalent to FINE
Element size
equivalent to
NORMAL
The difference
relative to the analytical solution is dened as follows:
Analytical solution
Finite volume model
solution
Analytical solution
Calculation time based on element size and nite volume model area (reference values) [typ. min.]
Element size
NORMAL FINE SUPER FINE
Finite volume
model area
NORMAL 0.3 3 6
MEDIUM 0.8 11 18
WIDE 2 12 33
• Figures in the table are reference values. Actual times will vary with the electrode sheet’s resistance values and
potential state.
• In actual usage, calculation times are augmented by contact check times and potential measurement times.