Difference between revisions of "Contact Physics – Formulas"

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*'''Dynamic contact separation''' (without considering magnetic fields caused by the current path)  
 
*'''Dynamic contact separation''' (without considering magnetic fields caused by the current path)  
: <math>F_A 0,8 /cdot I_2</math>
+
: <math>F_A \approx 0,8 xl^2</math>
(Rule of thumb with F<sub>A</sub> in N and I in kA)
+
(Rule of thumb with F<sub>A</sub> in N and l in kA)
  
 
*'''Contact voltage and max. contact temperature'''
 
*'''Contact voltage and max. contact temperature'''
: T_k max</sub> 3200 U<sub>K</sub>
+
: <math>T_kmax \approx 3200 U_K</math>
  
*'''Contact resistance at higher contact forces (according to Babikow)''' <br />R<sub>K</sub> = cF -m K
+
*'''Contact resistance at higher contact forces (according to Babikow)'''  
For F<sub>K</sub> between 10 and 200 N
+
: <math>R_K = cF_k^{-m}</math>
c = material dependent proportionality factor
+
For F<sub>K</sub> between 10 and 200 N<br/>
 +
c = material dependent proportionality factor<br/>
 
m = shape dependent exponent of the contact force
 
m = shape dependent exponent of the contact force
  
 
==References==
 
==References==
 
[[Application Tables and Guideline Data for Use of Electrical Contact Design#References|References]]
 
[[Application Tables and Guideline Data for Use of Electrical Contact Design#References|References]]

Revision as of 11:03, 31 March 2014

6.4.2 Contact Physics – Formulas

  • Constriction resistance
R_e = \rho/2a

(Single spot contact according to Holm; circular touching spot between clean contact surfaces)

R_e = \rho/2Na

(Multi-spot contact according to Holm without influence between the N individual spots)

R_e = \rho/2 x \sum a_i + 3 \pi \rho /32N^2 x \sum \sum (s_ij) i \neq j

(Multi-spot contact according to Greenwood considering the influence between the spots)

  • Contact resistance
R_K = R_e + R_f
  • Path resistance
cR_d = R_b + R_K
  • Contact resistance and contact force
R_K = 280\rho \sqrt[3]{E (F_K \cdot r)}

(According to Holm model for film-free spherical contact surfaces with plastic deformation of the contact material; Fk < 1 N for typical contact materials)

R_K = 9000 \rho \sqrt{ H/ F_K}

(According to Holm model for film-free spherical contact surfaces with plastic deformation of the contact material; Fk > 5 N for typical contact materials)

  • Dynamic contact separation (without considering magnetic fields caused by the current path)
F_A \approx 0,8 xl^2

(Rule of thumb with FA in N and l in kA)

  • Contact voltage and max. contact temperature
T_kmax \approx 3200 U_K
  • Contact resistance at higher contact forces (according to Babikow)
R_K = cF_k^{-m}

For FK between 10 and 200 N
c = material dependent proportionality factor
m = shape dependent exponent of the contact force

References

References