Comparison of the Length of the Catenary Curve and its Parabolic Approximation in the Span of an Overhead Line

Hatibovic, Alen; Kadar, P; Morva, Gyorgy

doi:10.1109/cando-epe51100.2020.9337759

Cited by 3 publications

(4 citation statements)

References 3 publications

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“…The two ends of the cable are fixed to poles of the same height. An object suspended by this cable generates tension on the cable under the action of gravity, and this tension coupled with the object's own gravity forms a balance [37]. Based on the principle above, the cable sag parameters of an overhead line can be calculated.…”

Section: Theoretical Analysis Of Magnetic Field For a Single Suspende...mentioning

confidence: 99%

Contactless current measurement for suspended overhead lines using a magnetic field sensor array

Chen,

Chen

2024

IET Generation Trans & Dist

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In this study, a long‐distance non‐contact current measurement method is proposed based on the non‐contact sensor array measurement technology, combined with a new current algorithm. The sensor array is a vertical array composed of three three‐axis magnetic field (MF) sensors that is placed on the ground plane below the measured overhead line. The proposed current algorithm can optimize the geometry of the overhead line using the spatial MF values measured by the sensor array and then the three‐phase currents can be calculated. To improve the accuracy of current measurement, the spatial MF model in the algorithm considers the influence of cable sag. It enables a more accurate coupling matrix between the measured overhead line and the sensor array to be established. Additionally, the current algorithm architecture is designed using a composite algorithm to more optimally obtain the best three‐phase current values. A scale‐down overhead‐line measurement system is developed to test the proposed current measurement method. The results show whether a cable sag exists when the three‐phase currents are approximately balanced, with errors less than 2.0%. Moreover, it can be determined whether cable sag exists when the three‐phase currents are unbalanced, with less than 3.4% errors.

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Section: Theoretical Analysis Of Magnetic Field For a Single Suspende...mentioning

confidence: 99%

Contactless current measurement for suspended overhead lines using a magnetic field sensor array

Chen,

Chen

2024

IET Generation Trans & Dist

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“…Here, it is appropriate to mention the history of catenary curve discovery, in particular the names of mathematicians Leibniz, Huygens and Bernoulli [24,30]. It is also important to note that the parabola formula [22,23] (Figure 4) is used as a simplification for engineering calculations in the case of small, sagged threads: Before answering the proposed questions, it is important to discuss with students the fact that a flexible thread without a load sags in the shape of a catenary curve [24]:…”

Section: Of 20mentioning

confidence: 99%

Section: Of 20mentioning

confidence: 99%

“…Thus, a new educational approach to STEM technologies is demonstrated in this paper. In addition to the educational aspects, the scientific originality of this paper is the examination of a more accurate mathematical model of a thread with a load without using simplifying assumptions such as a negligibly small mass of the thread, a thread with a small sag or an parabolic approximation of the thread shape, which are often accepted in engineering calculations [21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

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Application of STEM Technologies on the Example of the Problem of a Thread with a Load

et al. 2023

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This paper demonstrates the application of STEM technologies using the example of the problem of a thread with a load. As a training problem, parameter finding of a flexible inextensible thread with a load sliding along it, as well as with a fixed load, is considered. A mathematical model of a thread with a load is created without using simplifying assumptions such as a negligibly small mass of the thread, a thread with a small sag or a parabolic approximation of the thread form. When solving the problem, methods of analysis from various branches of mathematics, theoretical mechanics, physics, history of mathematics, as well as various tools of computer mathematical packages (Mathcad), are used. The reasonability of considering such tasks from the perspective of teaching effectiveness for first-year students in engineering as well as in physics and mathematics is proved. Promising educational tasks based on the investigated problem are considered.

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Special Parabolic Equation of the Conductor Curve for the Use in Inclined Spans Based on the Given y–coordinate of the Low Point

Hatibovic¹,

Kadar

Morva

2021

2021 IEEE 4th International Conference and Workshop Óbuda on Electrical and Power Engineering (CANDO-EPE)

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Comparison of the Length of the Catenary Curve and its Parabolic Approximation in the Span of an Overhead Line

Cited by 3 publications

References 3 publications

Contactless current measurement for suspended overhead lines using a magnetic field sensor array

Contactless current measurement for suspended overhead lines using a magnetic field sensor array

Application of STEM Technologies on the Example of the Problem of a Thread with a Load

Special Parabolic Equation of the Conductor Curve for the Use in Inclined Spans Based on the Given y–coordinate of the Low Point

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