Gr. Piper et A. Prata, MAGNETIC-FLUX DENSITY PRODUCED BY FINITE-LENGTH TWISTED-WIRE PAIRS, IEEE transactions on electromagnetic compatibility, 38(1), 1996, pp. 84-92
Twisting a wire pair is often used to reduce the wire's low frequency
magnetic flux density impinging upon spatially adjacent circuitry. Typ
ically, predictions of the magnetic Bur density due to the twisted-wir
e pair are based upon mathematical formulations for infinite-length wi
res. In this work, expressions for predicting the quasistatic magnetic
Bur density near a finite-length, current-carrying twisted-mire pair
are derived. These equations are numerically integrated, and the resul
ts compared with the magnetic nux density from the corresponding strai
ght-wire pair, thereby yielding results useful for electromagnetic com
patibility analyses. Additionally, approximate Par-zone magnetic flux
density equations are developed, and their range of validity establish
ed. These equations are useful for magnetic flux density estimations a
t distances further removed from the twisted-wire pair than the usual
ones encountered in a typical enclosure. Also, they show that the larg
e near-zone reduction of the magnetic flux density magnitude obtained
by twisting the wire pair, relative to thr straight-wire pair, is not
available in the far-zone.