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EN
The paper presents a method of the 3D simulation of the primary scalar potential of the electric flow field produced in the earth by d.c. traction stray currents. In the method the equivalent rail is considered as an earth return circuit. The models of the equivalent rail with current energization and the concept of superposition allow one to consider more complicated d.c. railway systems using a segmental approximation of the complex railway route and taking into account a number of substations and loads at any location. It is assumed in the paper that the system considered is linear, that the earth is homogeneous medium of finite conductivity and that the effects of currents in nearby underground metal installations on the potential generated in the earth by track currents (primary earth potential) can be disregarded. An extensive parametric analysis to examine the roles of various factors, which affect the primary earth potential caused by stray currents, may be performed using simulation program developed. The technical application of the method presented, which can be useful at design stage e.g. of metal structures buried in the stray currents area, is illustrated by examples of computer simulation.
EN
The paper presents a method of the simulation of the pipeline potential shift produced by d.c. traction stray currents which are stochastic in character, meaning that the current as well as the flow direction change at random. The key problem in the evaluation of a foreign structure response to the stray currents interference consist in the determination of the potential shift of the structure with respect to the adjacent (local) earth. To predict the potential shift due to the stray current influence, calculation methods/tools can be used, especially at design stage of new traction lines or pipelines. The calculation model presented is based on the deterministic model used in the earth-return circuit theory combined with the non-deterministic approach based on the Monte Carlo procedure, in which a locomotive position and a load current are assumed to be independent random variables. Using simulation program developed random characteristics of a pipeline response e.g. maximum, minimum, median and mean values can be obtained. Hence the pipeline regions more exposed to corrosion risk can be determined. The technical application of the method presented is illustrated by examples of computer simulation.
PL
W pracy zaprezentowano metodę symulacji potencjału wzbudzonego wzdłuż obwodu ziemnopowrotnego (rurociągu) prądami błądzącymi o charakterze stochastycznym, upływającymi z szyn trakcji prądu stałego, o losowo zmiennym natężeniu i kierunku. Kluczowy problem w ocenie odpowiedzi rurociągu podlegającego oddziaływaniu, polega na określeniu jego potencjału względem ziemi bliskiej. Zastosowanie w tym celu metod/narzędzi symulacyjnych przydatne jest zwłaszcza na etapie projektowania tras nowych zelektryfikowanych linii kolejowych lub/oraz podziemnych rurociągów. Symulacje prezentowane w pracy bazują na stosowanych w teorii obwodów ziemnopowrotnych modelach deterministycznych w połączeniu z modelem niedeterministycznym wykorzystującym metodę Monte Carlo, w której niezależnymi zmiennymi losowymi są prąd oraz lokalizacja elektrowozu. Opracowany program symulacyjny pozwala na wyznaczenie losowej odpowiedzi t.j. wartości maksymalnej, minimalnej, średniej oraz mediany potencjału rurociągu względem ziemi bliskiej. Umożliwia to oszacowanie lokalizacji stref rurociągu narażonych na korozję elektrolityczną. Zastosowanie opracowanej metody zilustrowano przykładowymi symulacjami.
EN
The paper presents a method of the simulation of electrical effects of stray currents from d.c. tracrion of complex geometry. In the method the equivalent rail is considered as an earth return circuit. The models of the equivalent rail with current energization and the concept of superposition allow one to consider more complicated d.c. railway systems using a segmental approximation of the complex railway route and taking into account a number of substations and loads at any location. It is assumed in the paper that the system considered is linear, that the earth is homogeneous medium of finite conductivity and that the effects of currents in nearby underground metal installations on the potential generated in the earth by track currents (primary earth potential) can be disregarded. An extensive parametric analysis to examine the roles of various factors, which affect the primary earth potential caused by stray currents, may be performed using simulation program developed. The technical application of the method presented, which can be useful at design stage e.g. of metal structures buried in the stray currents area, is illustrated by examples of computer simulation.
EN
The paper presents two methods of the 3D simulation of the primary scalar potential of the electric flow field produced in the earth by d.c. traction stray currents. In the first method the equivalent rail is considered as an earth return circuit with distributed parameters, whereas in the second method the rail is treated as a circuit with lumped parameters. It is assumed in the paper that the system considered is linear, that the earth is homogeneous medium of finite conductivity and that the effects of currents in nearby underground metal installations on the potential generated in the earth by track currents (primary earth potential) can be disregarded. An extensive parametric analysis to examine the roles of various factors, which affect the primary earth potential caused by stray currents, may be performed using simulation program developed. The technical application of the method presented, which can be useful at design stage e.g. of metal structures buried in the stray currents
EN
The paper presents two methods of the 3D simulation of the primary scalar potential of the electric flow field produced in the earth by d.c. traction stray currents. In the first method the equivalent rail is considered as an earth return circuit with distributed parameters, whereas in the second method the rail is treated as a circuit with lumped parameters. It is assumed in the paper that the system considered is linear, that the earth is a homogeneous medium of finite conductivity and that the effects of currents in nearby underground metal installations on the potential generated in the earth by track currents (primary earth potential) can be disregarded. An extensive parametric analysis to examine the roles of various factors, which affect the primary earth potential caused by stray currents, may be performed using simulation program developed. The technical application of the method presented, which can be useful at design stage e.g. of metal structures buried in the stray currents area, is illustrated by examples of computer simulation.
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