Abstract:This paper deals with the influence of steel non-linearity when calculating the induced current/voltage on a pipeline circuit with earth return under 50-60 Hz induction by power lines or electrified railway lines. By having at disposal the measured curves of the per unit length pipe internal impedance versus the current flowing in it, one can calculate induced voltage and current on the pipelineearth circuit by means of the successive approximations method. The paper presents some comparison of the results whe… Show more
This paper presents an algorithm for the evaluation of currents and voltages
along a multi-conductor transmission line having non-linear impedances due
to the presence of ferromagnetic conductors; we assume that these impedances
are function of the current carried by the relevant conductor so that the
equivalent circuit modelling the line is non-linear and has to be solved by
means of an iterative procedure. The present paper can be considered as a
generalization of our previous works successfully applied to
single-conductor lines with earth return. Some examples of application to
typical 50-60 Hz interference studies between power/railway lines on
telecommunication cables and pipelines are shown.
This paper presents an algorithm for the evaluation of currents and voltages
along a multi-conductor transmission line having non-linear impedances due
to the presence of ferromagnetic conductors; we assume that these impedances
are function of the current carried by the relevant conductor so that the
equivalent circuit modelling the line is non-linear and has to be solved by
means of an iterative procedure. The present paper can be considered as a
generalization of our previous works successfully applied to
single-conductor lines with earth return. Some examples of application to
typical 50-60 Hz interference studies between power/railway lines on
telecommunication cables and pipelines are shown.
“…Much of the initial efforts in this field originated from circuital or transmission line approaches based on Carson's formulae for mutual impedance [13][14][15][16]. These methods are also generally based on performing a discretization of the considered corridor into sets of coupled smaller sections, described by lumped parameters [17]; such circuital approaches are computationally efficient, making them suitable for fast evaluations or parametric studies. In addition, the formulas for the approximate evaluation of mutual impedance have been extended over time to include the physical effects of soils constituted by multiple layers with different electrical resistivity values [18].…”
Section: Introduction Concerns Over Metallic Pipelines Integritymentioning
The functionality of buried metallic pipelines can be compromised by the electrical lines that share the same right-of-way. Given the considerable size of shared corridors, computer simulation is an important tool for performing risk assessment and mitigation design. In this work, we introduce an open-source computational framework for the analysis of electromagnetic interference on large earth-return structures. The developed framework is based on FLARE—an efficient finite element solver developed by the authors in MATLAB®. FLARE includes solvers for problems involving static electric and magnetic fields, and DC and time-harmonic AC currents. Quasi-magnetostatic transient problems can be studied through time-marching or—for linear problems—with an efficient inverse-Laplace approach. In this work, we succinctly describe the optimization of time-critical operations in FLARE, as well as the implementation of a transient solver with automatic time-stepping. We validate the numerical results obtained with FLARE via a comparison with the commercial software COMSOL Multiphysics®. We then use the validated time-marching analysis results to test the accuracy and efficiency of three numerical inverse-Laplace algorithms. The test problem considered is the assessment of the inductive coupling between a 500 kV transmission line and a metallic pipeline buried in the soil.
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