Documentation Home Page HYPERSIM Home Page
Pour la documentation en FRANÇAIS, utilisez l'outil de traduction de votre navigateur Chrome, Edge ou Safari. Voir un exemple.

Line Generator Exercise

Compute the per km resistance, inductance, and capacitance values for a three-phase single circuit transposed transmission line carrying 60 Hz voltages. The details of the conductor arrangement and geometry are given in the figure below.

What will be the effect on the values of the impedance parameters if the transmission line is untransposed?

The internal inductance of the conductors is obtained from the T/D ratio. Its value for phase conductors is 0.375 and ground wires is 0.5. The DC resistance of the phase conductors is 0.04304 Ω/km, while that of the ground wires is 3.107 Ω/km. The outside diameter of the ground wire is 1.27 cm. Also, assume there is no sag.

Conductor Arrangement Diagram

Conductor Arrangement Diagram

Conductor Geometry Diagram

Conductor Geometry Diagram

The figures provide conductor information.

Use the Line tab. Before proceeding to the Line tab, make sure to complete the information in the following table using data from the geometrical configuration.

1Frequency of voltage transmitted by the line (Hz)
2Ground resistivity (omega m)
3Number of phases conductor bundles
4Number of ground wires
5Horizontal distance between each phase bundle (m)
6Vertical distance between each phase bundle (m)
7Vertical distance of conductor bundle at the tower (m)
8Horizontal distance between ground wires
9Vertical distance of ground wire at the tower
10Vertical distance of ground wire at mid-point of line (m)
11Transposition information
12Method to compute internal inductance
13Outside diameter of individual conductor in bundle (cm)
14DC resistance of individual conductor (omega per km)
15Number of conductors per bundle
16Bundle diameter (cm)
17Position of first conductor in the bundle counter-clockwise from x-axis (degrees)

SOLUTION:

  • Open the mask of the line
  • Go to Line Generator tab.
  • Verify if the values in your table match below.
  • After verifying these values, enter them in the Line Generator tab.
  • Click the Compute icon.
  • In the log tab, you should have the required results.
  • Change the transposition option and re-compute to notify the impact.


List of values needed for this exercise (with answers)

1Frequency of voltage transmitted by the line (Hz)60
2Ground resistivity (omega m)100
3Number of phases conductor bundles3
4Number of ground wires2
5Horizontal distance between each phase bundle (m)-12.80 for phase A, 0 for phase B and 12.80 for phase C
6Vertical distance between each phase bundle (m)20.73 for all phases
7Vertical distance of conductor bundle at the tower (m)20.73 as there is no sag
8Horizontal distance between ground wires-8.99 and +8.99
9Vertical distance of ground wire at the tower32.92 for both wires
10Vertical distance of ground wire at mid-point of line (m)32.92 as there is no sag
11Transposition informationTransposed
12Method to compute internal inductanceT/D 0.375 for phases, 0.5 for ground
13Outside diameter of individual conductor in bundle (cm)3.556 for phases, 1.27 for ground
14DC resistance of individual conductor (omega per km)0.04304 omega/km for phase conductors and 3.107 omega/km for ground wires
15Number of conductors per bundle4 for phase and 1 for ground
16Bundle diameter (cm)45.72 * sqrt(2) = 64.65 for phase and ground
17

Position of first conductor in the bundle counter-clockwise from x-axis (degrees)

Answer: 45 degrees

OPAL-RT TECHNOLOGIES, Inc. | 1751, rue Richardson, bureau 1060 | Montréal, Québec Canada H3K 1G6 | opal-rt.com | +1 514-935-2323
Follow OPAL-RT: LinkedIn | Facebook | YouTube | X/Twitter