Conserved quantities and travelling wave profiles to the nonlinear transmission line via Lie group analysis

Riaz, Muhammad Bilal; Jhangeer, Adil; Abualnaja, Khadijah M.; Junaid-U-Rehman, M.

doi:10.1088/1402-4896/ac0dfe

Cited by 15 publications

(2 citation statements)

References 49 publications

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“…The leakage detection device for transmission lines crossing the transmission line network refers to a device that comprehensively monitors the total leakage signal of the transmission line crossing the line [5]. When the transmission line runs with high resistance and the leakage current is between tens and tens of milliamps, the transmission line shall not only ensure the isolation between the line and the grounding, but also bear the overload caused by lightning and switching to resist large voltage fluctuations.…”

Section: Early Warning Of Crossing and Collision Of Power Transmissio...mentioning

confidence: 99%

Research on fault early warning of power transmission line crossing and collision based on multi-source data

Chang

Zheng

Shang

et al. 2023

Eighth International Conference on Energy Materials and Electrical Engineering (ICEMEE 2022)

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The existing transmission line fault early warning can’t automatically identify the abnormal area, resulting in poor early warning effect for the line crossing and line touching fault. Based on this, an early-warning method of power transmission line crossing and collision fault based on multi-source data is proposed. Combined with the feature extraction method of multi-source data fusion, based on the analysis of the characteristics of the stock index of power grid transmission line crossing and touching, the leakage current acquisition model is constructed. Based on the model, the abnormal data of power grid are collected, and the characteristics of power grid transmission line crossing and touching are mined and identified. Then the texture features are obtained by using the local binary pattern operator to simplify the early warning steps of power grid transmission line crossing and touching. The experimental results show that the multi-source data-based power grid transmission line crossing and collision fault early warning is more practical than the traditional methods. In the process of practical application, the effect of abnormal data prediction and collection is significantly better. It can carry out fault early warning more quickly and accurately, and fully meet the research requirements.

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Section: Early Warning Of Crossing and Collision Of Power Transmissio...mentioning

confidence: 99%

Research on fault early warning of power transmission line crossing and collision based on multi-source data

Chang

Zheng

Shang

et al. 2023

Eighth International Conference on Energy Materials and Electrical Engineering (ICEMEE 2022)

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“…The Lie symmetry analysis approach [12][13][14][15][16][17][18][19][20][21][22] is a powerful method used in the study of nonlinear PDEs. It is based on the concept of Lie groups and Lie algebras, which are mathematical structures that describe the symmetries of a system.…”

Section: Introductionmentioning

confidence: 99%

Conservation Laws, Solitary Wave Solutions, and Lie Analysis for the Nonlinear Chains of Atoms

Rehman

Awrejcewicz

Kudra

2023

Preprint

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Nonlinear chains of atoms(NCA) are complex systems with rich dynamics, influencing various scientific disciplines. Lie symmetry approach is considered to analyze the NCA. The Lie symmetry method is a powerful mathematical tool for analyzing and solving differential equations with symmetries, facilitating the reduction of complexity and obtaining solutions. After getting the entire vector field by using the Lie scheme, we find the optimal system of symmetries. Using the optimal system we have converted assumed PDE into nonlinear ODE. The new auxiliary scheme introduces novel approaches to complement existing techniques, enhancing accuracy and simplifying computations. Travelling wave solutions describe wave-like propagation in systems, while graphical behavior visually represents relationships and patterns in data or mathematical models. The multiplier method enables the identification of conservation laws, fundamental principles in physics that assert certain quantities remain constant over time. Understanding these concepts contributes to a deeper comprehension of nonlinear chains of atoms and their dynamics, fostering advancements in related fields.

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Multiple optical soliton solutions for wave propagation in nonlinear low-pass electrical transmission lines under analytical approach

Iqbal,

Seadawy,

et al. 2023

Opt Quant Electron

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Conserved quantities and travelling wave profiles to the nonlinear transmission line via Lie group analysis

Cited by 15 publications

References 49 publications

Research on fault early warning of power transmission line crossing and collision based on multi-source data

Research on fault early warning of power transmission line crossing and collision based on multi-source data

Conservation Laws, Solitary Wave Solutions, and Lie Analysis for the Nonlinear Chains of Atoms

Multiple optical soliton solutions for wave propagation in nonlinear low-pass electrical transmission lines under analytical approach

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