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Nonlinearity of Conductor Behavior in the Context of Loads on Transmission Towers Cover

Nonlinearity of Conductor Behavior in the Context of Loads on Transmission Towers

Open Access
|Dec 2024

Figures & Tables

Figure 1.

Various forms of linear/nonlinear relations E(q)

Figure 2.

Diagram illustrating approaches related to PSF application for design tension forces

Figure 3.

Relationships H(q) and H(T) for conductor AFL-6 240 mm2

Figure 4.

Relationships f(q) and f(T) for conductor AFL-6 240 mm2

Figure 5.

The rate of tension force change mt as a function of load q for the conductor AFL-6 240 mm2

Figure 6.

Linearity deviation of the H(q) relationship for conductor AFL 6-240 mm2 in spans of 200 and 400 m

Figure 7.

Visualization of the design effects determination method

Figure 8.

Lines a and e (with slopes ma and me, respectively) used to determine the force Hd

Figure 9.

Comparison of slopes ma and me for conductor AFL 6-240 mm2 (H0 = 18.0/24.0 kN)

Figure 10.

Variation of the nE for AFL-6 240 mm2 conductor as a function of load (H0 = 18.0/24.0 kN)

Figure 11.

Example of determining design tension forces Hd

Table 1.

Sample calculations of forces Hd and the global factor γglob,A

12345678
qk N/mH0 kNHk kNHd,A2 kNHd,A kNHd,E kNnE -γglob,A -
conductor AFL 6 – 240 mm2; L = 200 m; T = –5°C; γA = γE = 1.30; γG = 1.0; γI = 1.25
15.012.018.6419.8422.5024.231.451.21
30.012.030.5334.0836.6839.691.491.20
15.018.026.0827.2129.7633.902.131.14
30.018.037.5641.0543.6148.831.861.16
15.024.032.3833.3535.5942.093.031.10
30.024.042.7646.0748.5055.592.231.13
conductor AFL 6 – 240 mm2; L = 400 m; T = –5°C; γA = γE = 1.30; γG = 1.0; γI = 1.25
15.012.018.7320.2523.7324.351.121.27
30.012.034.6739.6843.4045.071.191.25
15.018.027.2329.0933.2635.401.351.22
30.018.045.8551.4455.5459.611.421.21
15.024.034.5836.4840.7244.951.691.18
30.024.053.4859.1263.2569.521.641.18
conductor AFL 1.7– 70 mm2; L = 200 m; T = –5°C; γA = γE = 1.30; γG = 1.0; γI = 1.25
10.010.015.9817.0118.1920.772.171.14
20.010.022.8725.2426.5029.731.891.16
conductor AFL 1.7– 70 mm2; L = 400 m; T = –5°C; γA = γE = 1.30; γG = 1.0; γI = 1.25
10.010.018.6420.3722.3524.231.511.20
20.010.030.0533.9135.9539.071.531.20

1 Results in the columns:

  • 1: qk – Total characteristic load of the conductor [N/m] (qk = q0 + qI),

  • 2: H0 – Initial tension of the conductor at T = +10°C [kN],

  • 3: Hk – Force due to the characteristic load: qk at T = −5°C [kN],

  • 4: Hd,A2 – Force due to the design load: qd = γGq0 + γIqI (γG = 1.0; γI = 1.25) at T = −5°C [kN],

  • 5: Hd,A – Force due to the design load: qd = γAqk (γA = 1.3) at T = −5°C [kN],

  • 6: Hd,E – Force due to the characteristic load Hk at T = −5°C multiplied by the factor γE = 1.3,

  • 7: nE – Ratio of the slopes of lines e and a calculated using the formula (3)

  • 8: γglob,A – Global safety factor equal to Hd,A/Hk for the approach A.

Figure 12.

Tension forces Hd according to different approaches

graphic/j_acee-2024-0034_ufig_001.jpg
DOI: https://doi.org/10.2478/acee-2024-0034 | Journal eISSN: 2720-6947 (formerly 1899-0142) | Journal ISSN: 1899-0142
Language: English
Page range: 147 - 159
Submitted on: Sep 26, 2024
Accepted on: Nov 12, 2024
Published on: Dec 31, 2024
Published by: Silesian University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: Volume open

© 2024 Grzegorz WANDZIK, Grzegorz KOWALCZYK, published by Silesian University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.