Wire diameter

HPN

dW = 0.127602 – 7.507e-3 (x) + 1.546e-4 (x2 )– 1.107e-6 (x3)
TPN

dW = 0.1557005 – 9.699e-3 (x) + 2.1299e-4 (x2 )– 1.632e-6 (x3)
QPN

d
W = 0.1622482 – 1.007e-2 (x) + 2.2073e-4 (x2 )– 1.69e-6 (x3 )


Surface area of wire

Aw = [dw (π ) lwire ] / 2

Where winding length = lWIRE = NP * L/T


Wire Inductance per inch

f1


Wire Length per Turn on a Toroid

L/T = (OD – ID) + 2H


Inductance of Winding Wire = Leakage Inductance


Lw = (L/T) Np (LWIRE) = Ll


Total Turns per Layer

f2

Cover Effect on Leakage Inductance

f3


Secondary Leakage Inductance

f4 (cover less than 360 degrees)


f5 (cover greater than 360 degrees)


RiseTime

f6


Coupling Capacitance

f7


Distributed Capacitance


Cp = [ 0.224 * K * Aw * ( N – 1 ) ] / l ave



Where:

Aw = [ ( OD – ID ) + 2H ] *dw * ( π / 2 )
lAVE = average distance between turns

Insertion Loss – Low Frequency

12n

Insertion Loss – High Frequency

f9

Where:

f10 f11

f12 f13

Low frequency rolloff

fo = Re / ( 2*π*LP )

where f14


High 3db Rolloff Frequency

f15 Hz

Wire Resistance of AWG

f16

Return Loss – Low Frequency

f17

Where: L
P is in MH

Return Loss – High Frequency


Due to Leakage Inductance:

f18

where f19

Due to Distributed Capacitance:

f20

where f21


Coil Size estimator:

Coil OD:

OD coil = (OD core)*[1+0.35 EXP(-0.12*(H core/dW))]+ 2* dW

Where: d
W = wire or cable diameter

Coil H:

H coil = (H core) * [1+(1.4)*(0.35 EXP(-0.12*(H core/dW))]+ 2* dW

Where: d
W = wire or cable diameter

Coil ID:

ID coil = (ID core) * [1 – (0.35 EXP(-0.12*(H core/dW))] – 2* dW

Where: dW = wire or cable diameter

Near End Crosstalk

Capacitance formulas:

C1 = 0.224 ( K ) ( * ODXFMR ) (( 1 + 0.44 ( tXFMR ))2 ) ( 0.012 / tXFMR )

C2 = 0.224 ( K ) ( * ODCMI ) (( 1 + 0.44 ( tCMI ))2 ) ( 0.012 / tCMI )

CT = C1 + C2

Where K = 1, the dielectric of air.


Near End Crosstalk formula:

f22

where: K = buffer dielectric at each frequency of interest












EMI_EDN