Analytical formulas


This section presents the analytical formulas used to model parallelepiped-shaped portions of conductors connected in parallel with the PEEC method.

To facilitate comprehension, the formulas are initially presented in the simplified case of filiform conductors (negligible cross-section area), then extended to the real case of volume conductors.

With a perfect ground plane, the method of the images allows the computation of equivalent partial inductances.


Additional information on the formulas is available in the following documents:

  • C. Hoer, C. Love

    "Exact Inductance Equations for Rectangular Conductors With Applications to More Complicated Geometries."

    Journal of Research of the National Bureau of Standards C, Engineering and Instrumentation, Vol. 69C N°2, April-June 1965, pp. 127 - 137

  • J. L. Schanen, C. Guerin, J. Roudet, G. Meunier

    "Modelling of a Printed Circuit Board Loop Inductance."

    IEEE Transaction on Magnetics Sept. 94