Dynamics of nonlinear and supernonlinear electric signals in a transmission line

IF 4 3区工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC

Optical and Quantum Electronics Pub Date : 2025-09-15 DOI:10.1007/s11082-025-08334-6

Dickcha Pradhan, Lamberto Rondoni, Asit Saha

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Abstract

Dynamics of nonlinear and supernonlinear electric signals are investigated in nonlinear electrical transmission lines (NETL). An evolution equation is derived employing Kirchhoff's current and voltage laws so as to describe the propagation of nonlinear electric signals in the NETL. Using a traveling wave transformation the dynamical system is obtained from the evolution equation for the signals. Phase plane analysis is used in the dynamical system for studying different kinds of nonlinear signals in the NETL. Additionally, periodic signals, solitary signals and superperiodic signals are obtained corresponding to periodic orbits, homoclinic orbits and superperiodic orbits obtained in the phase portraits. Effects of the different physical parameters, such as, speed of traveling signal (v), spacing (\(\delta _1\)) between two adjacent portions in the propagation direction of the electric signal, spacing (\(\delta _2\)) between two adjacent portion in the transverse direction of the propagation of the electric signal, inductance (\(L_1\)) in series branch and inductance (\(L_2\)) are presented on periodic, superperiodic and solitary electric signals. Analytical forms of the solitary electric signals of peak and valley types are obtained. Furthermore, linear stability analysis of the signals is conducted in the presence of a small voltage perturbation using linearization technique.

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传输线中非线性和超非线性电信号的动力学

研究了非线性输电线路中非线性和超非线性电信号的动力学特性。利用基尔霍夫电流和电压定律推导了非线性电信号在NETL中传播的演化方程。利用行波变换，由信号的演化方程得到了信号的动力系统。在动态系统中，相平面分析被用于研究NETL中不同类型的非线性信号。此外，在相位图中得到周期轨道、同斜轨道和超周期轨道对应的周期信号、孤立信号和超周期信号。给出了不同物理参数，如信号行进速度(v)、电信号传播方向相邻两部分间距（\(\delta _1\)）、电信号传播横向相邻两部分间距（\(\delta _2\)）、串联支路电感（\(L_1\)）和电感（\(L_2\)）等对周期、超周期和孤立电信号的影响。得到了峰型和谷型孤立电信号的解析形式。此外，利用线性化技术对存在小电压扰动的信号进行了线性稳定性分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Optical and Quantum Electronics 工程技术-工程：电子与电气

CiteScore

4.60

自引率

20.00%

发文量

810

审稿时长

3.8 months

期刊介绍： Optical and Quantum Electronics provides an international forum for the publication of original research papers, tutorial reviews and letters in such fields as optical physics, optical engineering and optoelectronics. Special issues are published on topics of current interest. Optical and Quantum Electronics is published monthly. It is concerned with the technology and physics of optical systems, components and devices, i.e., with topics such as: optical fibres; semiconductor lasers and LEDs; light detection and imaging devices; nanophotonics; photonic integration and optoelectronic integrated circuits; silicon photonics; displays; optical communications from devices to systems; materials for photonics (e.g. semiconductors, glasses, graphene); the physics and simulation of optical devices and systems; nanotechnologies in photonics (including engineered nano-structures such as photonic crystals, sub-wavelength photonic structures, metamaterials, and plasmonics); advanced quantum and optoelectronic applications (e.g. quantum computing, memory and communications, quantum sensing and quantum dots); photonic sensors and bio-sensors; Terahertz phenomena; non-linear optics and ultrafast phenomena; green photonics.