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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 />

Where:<br />

D<br />

SC<br />

Geometric mean radius in meters<br />

r External radius of conductor in meters<br />

d Distance between conductors k and m in meters.<br />

km<br />

Note: If k = m, then d<br />

km<br />

= r.<br />

Conductance<br />

Assumed G = 0<br />

Where:<br />

G<br />

Conductance in Siemens/meter<br />

3.2 Lumped (Total) <strong>Parameter</strong>s<br />

Resistance, Inductive Reactance, Conductance and Susceptance, using the<br />

equivalent π circuit (long line)<br />

Z ′ = R′<br />

+ jX ′ =<br />

Z c<br />

sinh γ <br />

Y ′ = G′<br />

+ jB′<br />

=<br />

2 γ <br />

tanh<br />

2<br />

Z c<br />

Where:<br />

Z’ Total series impedance of line in Ohms<br />

Y’ Total series admittance of line in Siemens<br />

R’ Total series resistance of line in Ohms<br />

X’ Total series inductive reactance of line in Ohms<br />

G’ Total series conductance of line in Siemens<br />

B’ Total series susceptance of line in Siemens<br />

Z c Characteristic impedance in Ohms<br />

γ Propagation constant in meters -1<br />

<strong>Line</strong> length in meters<br />

The characteristic impedance and propagation constant are defined as:<br />

z<br />

Z c<br />

= γ = zy<br />

y<br />

Where:<br />

z<br />

y<br />

Distributed series impedance in Ohms/meter<br />

Distributed series admittance in Siemens/meter<br />

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

15<br />

April 22, 2013

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