Difference between revisions of "Contact Physics – Formulas"

From Electrical Contacts
Jump to: navigation, search
(6.4.2 Contact Physics – Formulas)
(6.4.2 Contact Physics – Formulas)
Line 1: Line 1:
 
===6.4.2 Contact Physics – Formulas===
 
===6.4.2 Contact Physics – Formulas===
  
*'''Constriction resistance''' <br />Re = D/2a
+
*'''Constriction resistance''' <br />R<sub>e</sub> = D/2a
 
(Single spot contact according to Holm; circular touching spot between clean
 
(Single spot contact according to Holm; circular touching spot between clean
 
contact surfaces)
 
contact surfaces)
Re = D/2Na
+
R<sub>e</sub> = D/2Na
 
(Multi-spot contact according to Holm without influence between the N
 
(Multi-spot contact according to Holm without influence between the N
 
individual spots)
 
individual spots)
Re = D/2 x E ai + 3B D/32N² x E E (sij) i = j
+
R<sub>e</sub> = D/2 x E ai + 3B D/32N² x E E (sij) i = j
 
(Multi-spot contact according to Greenwood considering the influence between
 
(Multi-spot contact according to Greenwood considering the influence between
 
the spots)
 
the spots)
Line 19: Line 19:
 
*'''Contact resistance and contact force''' <br />R<sub>K</sub> = 280D ³ E(F · r) K  
 
*'''Contact resistance and contact force''' <br />R<sub>K</sub> = 280D ³ E(F · r) K  
 
(According to Holm model for film-free spherical contact surfaces with plastic
 
(According to Holm model for film-free spherical contact surfaces with plastic
deformation of the contact material; F < 1 N for typical contact materials) k
+
deformation of the contact material; F<sub>k</sub> < 1 N for typical contact materials)
RK = 9000 D H/ FK
+
R<sub>K</sub> = 9000 D H/ FK
 
(According to Holm model for film-free spherical contact surfaces with plastic
 
(According to Holm model for film-free spherical contact surfaces with plastic
deformation of the contact material; F > 5 N for typical contact materials)
+
deformation of the contact material; F<sub>k</sub> > 5 N for typical contact materials)
  
*'''Dynamic contact separation''' (without considering magnetic fields caused by the current path) <br />FA 0,8 x (Rule of thumb with F in N and I in kA)
+
*'''Dynamic contact separation''' (without considering magnetic fields caused by the current path) <br />F<sub>A</sub> 0,8 x I<sup>2</sup>(Rule of thumb with F<sub>A</sub> in N and I in kA)
  
*'''Contact voltage and max. contact temperature''' <br />T kmax 3200 UK
+
*'''Contact voltage and max. contact temperature''' <br />T<sub>kmax</sub> 3200 U<sub>K</sub>
  
*'''Contact resistance at higher contact forces (according to Babikow)''' <br />R = cF -m K K
+
*'''Contact resistance at higher contact forces (according to Babikow)''' <br />R<sub>K</sub> = cF -m K
 
For F between 10 and 200 N K
 
For F between 10 and 200 N K
 
c = material dependent proportionality factor
 
c = material dependent proportionality factor

Revision as of 14:38, 20 January 2014

6.4.2 Contact Physics – Formulas

  • Constriction resistance
    Re = D/2a

(Single spot contact according to Holm; circular touching spot between clean contact surfaces) Re = D/2Na (Multi-spot contact according to Holm without influence between the N individual spots) Re = D/2 x E ai + 3B D/32N² x E E (sij) i = j (Multi-spot contact according to Greenwood considering the influence between the spots)

als bild?

  • Contact resistance
    RK = Re + Rf
  • Path resistance
    Rd = Rb + RK
  • Contact resistance and contact force
    RK = 280D ³ E(F · r) K

(According to Holm model for film-free spherical contact surfaces with plastic deformation of the contact material; Fk < 1 N for typical contact materials) RK = 9000 D H/ FK (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)
    FA 0,8 x I2(Rule of thumb with FA in N and I in kA)
  • Contact voltage and max. contact temperature
    Tkmax 3200 UK
  • Contact resistance at higher contact forces (according to Babikow)
    RK = cF -m K

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

References

References