scholarly journals LOSSY TRANSMISSION LINES TERMINATED BY PARALLEL CONNECTED RLC-ELEMENTS WITHOUT THE HEAVISIDE’S CONDITION

2019 ◽  
pp. 1-13
Author(s):  
Vasil G. Angelov
Keyword(s):  
Transmission Line ◽  
Mixed Problem ◽  
Hyperbolic System ◽  
Transmission Lines ◽  
Electromagnetic Waves ◽  
Neutral Type ◽  
Generalized Solution ◽  
Line System ◽  
Lossy Transmission ◽  
Transverse Electromagnetic

The paper deals with analysis of propagation of transverse electromagnetic waves along lossy transmission lines terminated by a circuit consisting of parallel connected RLCelements. Using the Kirchhoff’s laws we derive boundary conditions and formulate the mixed problem for hyperbolic system describing the lossy transmission line. Without the Heaviside's condition, we cannot guarantee the distortionless propagation of waves and hence we cannot apply the known methods. That is why we apply a different method and obtain conditions for existence-uniqueness of generalized solution. We change variables and formulate a mixed problem for the hyperbolic system with respect to the new variables. The nonlinear characteristics of the RLC-elements generate nonlinearity in the equations of neutral type on the boundary. We propose an operator presentation of the mixed problem for transmission line system and by means of fixed point technique we prove existence-uniqueness of a generalized solution.

scholarly journals LOSSY TRANSMISSION LINES TERMINATED BY PARALLEL CONNECTED RLC-ELEMENTS WITHOUT THE HEAVISIDE’S CONDITION

2019 ◽  
pp. 1-13 ◽  
Author(s):  
Vasil G. Angelov
Keyword(s):  
Transmission Line ◽  
Mixed Problem ◽  
Hyperbolic System ◽  
Transmission Lines ◽  
Electromagnetic Waves ◽  
Neutral Type ◽  
Generalized Solution ◽  
Line System ◽  
Lossy Transmission ◽  
Transverse Electromagnetic

The paper deals with analysis of propagation of transverse electromagnetic waves along lossy transmission lines terminated by a circuit consisting of parallel connected RLCelements. Using the Kirchhoff’s laws we derive boundary conditions and formulate the mixed problem for hyperbolic system describing the lossy transmission line. Without the Heaviside's condition, we cannot guarantee the distortionless propagation of waves and hence we cannot apply the known methods. That is why we apply a different method and obtain conditions for existence-uniqueness of generalized solution. We change variables and formulate a mixed problem for the hyperbolic system with respect to the new variables. The nonlinear characteristics of the RLC-elements generate nonlinearity in the equations of neutral type on the boundary. We propose an operator presentation of the mixed problem for transmission line system and by means of fixed point technique we prove existence-uniqueness of a generalized solution.

scholarly journals Analysis of Lossy Transmission Lines Terminated by Schottky Diode Circuit

2018 ◽  
Vol 2 (6) ◽  
Author(s):  
Vasil G. Angelov
Keyword(s):  
Transmission Line ◽  
Mixed Problem ◽  
Schottky Diode ◽  
Transmission Lines ◽  
Oscillatory Solution ◽  
System Of Differential Equations ◽  
Initial Value ◽  
Line System ◽  
Lossy Transmission ◽  
Lossy Transmission Line

In the present paper we consider a lossy transmission line terminated by a circuit corresponding to a Schottky diode. On the base of Kirchhoff’s law boundary conditions are derived. Then a mixed problem for the lossy transmission line system is formulated. We reduce the mixed problem for the hyperbolic transmission line system to an initial value problem for a system of differential equations with delays on the boundary. We prove existence-uniqueness theorem for oscillatory solution. The paper ends with numerical example with real values of the Schottky diode parameters.

scholarly journals ОN THE QUALITATIVE ANALYSIS OF CERTAIN FLOTATION PROCESSES

2020 ◽  
Vol 9 (11) ◽  
pp. 91-99
Keyword(s):  
Fixed Point ◽  
Qualitative Analysis ◽  
Mixed Problem ◽  
Hyperbolic System ◽  
Transmission Lines ◽  
Generalized Solution ◽  
Fixed Point Method ◽  
Successive Approximations ◽  
First Order ◽  
Operator Form

The present paper is devoted to the qualitative analysis of certain flotation processes describing by a first order hyperbolic system of partial differential equations. The system in question is like telegrapher equations. That is why, we use the methods for examining the transmission lines set out in the papers mentioned in the References. We formulate a mixed problem for this system with boundary conditions corresponding to the processes in the flotation cameras. We present the mixed problem for the hyperbolic system in a suitable operator form and prove an existence of generalized solution by fixed point method. One can obtain an explicit approximated solution as a step in the sequence of successive approximations.

scholarly journals Nonlinear Membrane Circuit Loaded on a Lossy Transmission Line without the Heaviside’s Condition

2019 ◽  
Vol 4 (10) ◽  
pp. 190-197 ◽  
Author(s):  
Vasil Angelov
Keyword(s):  
Fixed Point ◽  
Mixed Problem ◽  
Transmission Lines ◽  
Generalized Solution ◽  
Existence Of Solution ◽  
Nonlinear Circuit ◽  
In Series ◽  
Lossy Transmission ◽  
Kirchhoff’S Laws ◽  
Lossy Transmission Line

The paper deals with transmission lines terminated by a nonlinear circuit describing a simplified model of membrane. This means that all elements of the membrane circuit are nonlinear ones as follows: in series connected LR-loads parallel to C-load. Using the Kirchhoff’s laws we formulate boundary conditions. For lossy transmission lines systems with the Heaviside’s condition, the mixed problem is considered in previous papers. The main goal of the present paper is to investigate the same problem for lossy transmission lines without the Heaviside’s condition. We reduce the existence of solution of the more complicated mixed problem for such a system to the existence of fixed point of an operator acting on a suitable function space. Then by ensuring the existence of this fixed point we obtain conditions for existence of a generalized solution of the mixed problem. The obtained conditions are easily verifiable. We demonstrate the advantages of our method by a numerical example.

scholarly journals Classification and direction discrimination of faults in transmission lines using 1D convolutional neural networks

2021 ◽  
Vol 12 (3) ◽  
pp. 1928
Author(s):  
Ahmed Thamer Radhi ◽  
Wael Hussein Zayer ◽  
Adel Manaa Dakhil
Keyword(s):  
Neural Network ◽  
Neural Networks ◽  
Feature Extraction ◽  
Transmission Line ◽  
Convolutional Neural Networks ◽  
Transmission Lines ◽  
Fault Classification ◽  
Line System ◽  
Direction Discrimination ◽  
Conventional Methods

<span lang="EN-US">This paper presents a fast and accurate fault detection, classification and direction discrimination algorithm of transmission lines using one-dimensional convolutional neural networks (1D-CNNs) that have ingrained adaptive model to avoid the feature extraction difficulties and fault classification into one learning algorithm. A proposed algorithm is directly usable with raw data and this deletes the need of a discrete feature extraction method resulting in more effective protective system. The proposed approach based on the three-phase voltages and currents signals of one end at the relay location in the transmission line system are taken as input to the proposed 1D-CNN algorithm. A 132kV power transmission line is simulated by Matlab simulink to prepare the training and testing data for the proposed 1D- CNN algorithm. The testing accuracy of the proposed algorithm is compared with other two conventional methods which are neural network and fuzzy neural network. The results of test explain that the new proposed detection system is efficient and fast for classifying and direction discrimination of fault in transmission line with high accuracy as compared with other conventional methods under various conditions of faults.</span>

scholarly journals Analysis on the Influence of Transmission Lines span on Passive Interference in Shortwave

2018 ◽  
Vol 64 ◽  
pp. 05004
Author(s):  
Ying Lu ◽  
Zhibin Zhao ◽  
Jian gong Zhang ◽  
Zheyuan Gan
Keyword(s):  
Electromagnetic Field ◽  
Transmission Line ◽  
Transmission Lines ◽  
Electromagnetic Scattering ◽  
Electromagnetic Waves ◽  
Short Wave ◽  
Critical Distance ◽  
Observation Point ◽  
Radio Station ◽  
Passive Interference

The passive interference of transmission lines to nearby radio stations may affect the effective reception and transmission of radio station signals. Therefore, the accurate calculation of the electromagnetic scattering of transmission lines under the condition of external electromagnetic waves is the basis for determining the reasonable avoidance spacing of the two. For passive stations operating in short-wave frequencies, passive interference is mainly generated by the tower, and span is one of the most significant factors affecting passive interference. This paper uses the method of moments to carry out the passive interference calculations under normal circumstances, expounds the method of calculating the electromagnetic field of transmission line at the same time. And elaborates the method for calculating the electromagnetic field of the transmission line, obtains the space electric field intensity of the transmission line at the same working frequency and space location of the plane wave. Applying the approximate formula to calculate the formula for the span and critical distance between the observation point and the transmission line.

scholarly journals Analysis on the Influence of the Height of Tower on Passive Interference in shortwave

2018 ◽  
Vol 64 ◽  
pp. 05005
Author(s):  
Ying Lu ◽  
Zhibin Zhao ◽  
Jian gong Zhang ◽  
Zheyuan Gan
Keyword(s):  
Transmission Line ◽  
Method Of Moments ◽  
Transmission Lines ◽  
Electromagnetic Scattering ◽  
Electromagnetic Waves ◽  
Short Wave ◽  
Radio Station ◽  
Radio Stations ◽  
Working Frequency ◽  
Passive Interference

The passive interference of transmission lines to nearby radio stations may affect the effective reception and transmission of radio station signals. Therefore, the accurate calculation of the electromagnetic scattering of transmission lines under the condition of external electromagnetic waves is the basis for determining the reasonable avoidance spacing of the two. For passive stations operating in short-wave frequencies, passive interference is mainly generated by the tower. This paper uses the method of moments to perform passive interference calculations under normal circumstances, And elaborates the method for calculating the electromagnetic field of the transmission line, obtains the space electric field intensity of the transmission line at the same working frequency and space location of the plane wave. Uses the approximate formula to inductive the formula for calculating height of tower and the protective distance.

scholarly journals Nonlinear Seismic Behavior of Different Boundary Conditions of Transmission Line Systems under Earthquake Loading

2016 ◽  
Vol 2016 ◽  
pp. 1-9
Author(s):  
Li Tian ◽  
Xia Gai
Keyword(s):  
Boundary Conditions ◽  
Transmission Line ◽  
Transmission Lines ◽  
Seismic Analysis ◽  
Time History ◽  
Nonlinear Time History Analysis ◽  
Earthquake Loading ◽  
Transmission Tower ◽  
Line System ◽  
Different Boundary Conditions

Nonlinear seismic behaviors of different boundary conditions of transmission line system under earthquake loading are investigated in this paper. The transmission lines are modeled by cable element accounting for the nonlinearity of the cable. For the suspension type, three towers and two span lines with spring model (Model 1) and three towers and four span lines’ model (Model 2) are established, respectively. For the tension type, three towers and two span lines’ model (Model 3) and three towers and four span lines’ model (Model 4) are created, respectively. The frequencies of the transmission towers and transmission lines of the suspension type and tension type are calculated, respectively. The responses of the suspension type and tension type are investigated using nonlinear time history analysis method, respectively. The results show that the responses of the transmission tower and transmission line of the two models of the suspension type are slightly different. However, the responses of transmission tower and transmission line of the two models of the tension type are significantly different. Therefore, in order to obtain accurate results, a reasonable model should be considered. The results could provide a reference for the seismic analysis of the transmission tower-line system.

scholarly journals An Extended Solution to the Equations Describing a 3-Conductor Transmission Line

2020 ◽  
Vol 19 ◽  
Keyword(s):  
Transmission Line ◽  
Mixed Problem ◽  
Transmission Lines ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Conditions ◽  
Functional System ◽  
Initial Value ◽  
System Of Functional Equations ◽  
Coupling Approximation ◽  
Weak Coupling Approximation

The full derivation of the generalized and extended solution to the equations describing threeconductor Transmission line is given in this paper; the brief results are presented in a previous paper. The Considerations proceed from the c. Paul formulation of lossless transmission lines terminated by linear loads. In contrast to c. Paul, the conjoint interaction between the two lines is considered here and the influence of the Receptor line is not neglected, that is the weak-coupling approximation is not applied. In result, an extended and Generalized mathematical model compared the original model of c. Paul is obtained. In particular, a mixed Problem for the hyperbolic system describing the three-conductor transmission line is formulated. It is shown That the formulated mixed problem is equivalent to an initial value problem for a functional system on the Boundary of hyperbolic system’s domain with voltages and currents as the unknown functions in this system Are the lines’. The system of functional equations can be resolved by a fixed-point method that enables us to Find an approximated but explicit solution. The method elaborated in this paper might be applied also for linear As well as nonlinear boundary conditions.

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