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PowerWorld Transmission Line Parameter Calculator Version 2

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<strong>Transmission</strong> <strong>Line</strong> <strong>Parameter</strong> <strong>Calculator</strong> <strong>Version</strong> 2<br />

3 Calculations<br />

3.1 Distributed <strong>Parameter</strong>s<br />

Resistance<br />

Where:<br />

R t<br />

t<br />

R 25<br />

R 50<br />

R 75<br />

N<br />

R t<br />

⎛ ⎛ R25<br />

− R50<br />

⎞<br />

R<br />

( t ) ⎟ ⎞<br />

⎜<br />

25<br />

+ ⎜ ⎟ − 25<br />

⎝ ⎝ 25 − 50 ⎠<br />

=<br />

⎠<br />

N<br />

⎛ ⎛ R50<br />

− R75<br />

⎞<br />

R<br />

( t ) ⎟ ⎞<br />

⎜<br />

50<br />

+ ⎜ ⎟ − 50<br />

⎝ ⎝ 50 − 75 ⎠<br />

=<br />

⎠<br />

N<br />

R t<br />

0 ≤ t ≤ 50<br />

50 ≤ t<br />

AC resistance at temperature t per phase per 1 mile in Ohms<br />

Assumed temperature in Celsius degrees<br />

AC resistance of the conductor at 60 Hz and 25°C per 1 mile in Ohms<br />

AC resistance of the conductor at 60 Hz and 50°C per 1 mile in Ohms<br />

AC resistance of the conductor at 60 Hz and 75°C per 1 mile in Ohms<br />

Number of conductors per phase<br />

Inductive Reactance<br />

D<br />

−7 eq<br />

X<br />

L<br />

= 4π<br />

f × 10 ln<br />

DSL<br />

Where:<br />

X L Inductive reactance in Ohms/meter<br />

f Frequency of the system in Hertz<br />

D<br />

eq<br />

Geometric mean distance between phases in meters<br />

D<br />

SL<br />

Geometric mean radius between conductors of one phase in meters<br />

The geometric mean distance between phases is defined as:<br />

D<br />

3<br />

eq<br />

= d<br />

abd<br />

bcd<br />

ca<br />

Where:<br />

d<br />

ab<br />

, d<br />

bc<br />

, d<br />

ca<br />

Distances between phases a-b, b-c, c-a, respectively in meters<br />

©<strong>PowerWorld</strong> Corporation<br />

13<br />

April 22, 2013

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