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1
Content available remote Electric field induced by current in overhead conductor
EN
The paper presents a theoretical study of the calculation of electric field induced in vicinity of an overhead current carrying conductor. Exact method of the determination of the induced electric field bases on the Fourier transform technique, whereas a simplified method uses the concept of complex ground return plane. As an example the induced electric field under a power line conductor is calculated.
PL
Praca dotyczy metod dokładnej oraz uproszczonej wyznaczania natężenia indukowanego pola elektrycznego wokół napowietrznego przewodu z prądem. Metoda dokładna bazuje na przekształceniu Fouriera w celu rozwiązania równania Helmholtza dla potencjału wektorowego, natomiast uproszczona opiera się na metodzie odbić zwierciadlanych od płaszczyzny umieszczonej na głębokości opisanej funkcją zespoloną. Wykazano przydatność praktyczną metody uproszczonej
EN
The study presents methods of the calculation of electromotive force (emf) induced in a mitigation loop located under an overhead power line conductor. The loop can be treated as a rectangular loop (two-conductor closed mitigation loop) located near the power line horizontal to the earth surface. Exact and simplified methods of the determination of the emf are presented. The exact method bases on the earth return circuit theory, whereas the simplified method allows one to calculate the induced emf under the assumption neglecting earth currents.
EN
The study presents methods of the calculation of electric field induced in vicinity of an overhead current carrying conductor. Exact method of the determination of the induced electric field bases on the Fourier transform technique, whereas a simplified method uses the concept of complex ground return plane. Exact and simplified methods of the calculation of electromotive force (emf) induced in a loop located under an overhead power line conductor are also presented. The loop is treated as a rectangular loop (two-conductor closed loop) located near the power line horizontal to the earth surface. The exact method bases on the earth return circuit theory, whereas the simplified method allows one to calculate the induced emf under the assumption neglecting earth currents. The methods presented are illustrated by exemplary calculations.
4
Content available remote Magnetic field mitigation from sagging power lines using a sagging passive loop
EN
The study presents in a tutorial manner methods of the calculation of magnetic fields in vicinity of catenary electric power lines without and with mitigation loops. A solution for modelling magnetic fields produced by sagging conductor, described by the catenary equation, is proposed. It is assumed that the equation of the catenary exactly describes the line sag and the influence of currents induced in the earth on the distribution of power line magnetic field is neglected. Moreover the mitigation effects due to the passive loop are also investigated, whereas the mitigation loop can be treated as a rectangular loop (two-conductor closed mitigation loop) horizontal located under the power line or as a closed loop with two sagging conductors.
PL
W pracy zaprezentowano metody wyznaczania pola magnetycznego pod linią elektroenergetyczną w przypadku zastosowania pasywnego ekranu – pętli utworzonej przez parę przewodów podwieszonych pod linią, z uwzględnieniem zwisu przewodów linii i pętli. Zwis przewodów opisany jest równaniem łańcuchowym. Pomija się wpływ prądów indukowanych w ziemi na rozkład pola magnetycznego. Wyprowa-dzono wzory analityczne i omówiono sposób wyznaczenia efektu ekranowania, w pierwszej kolejności dla przewodów pętli pasywnej bez uwzględnienia zwisu, a następnie z jego uwzględnieniem.
EN
The study presents in a tutorial manner methods of the calculation of magnetic fields in vicinity of overhead electric power lines without and with mitigation loops. Exact and simplified methods of the determination of the magnetic field of a straight overhead conductor based on the Fourier transform technique are presented. The decomposition of the magnetic fields in two components: magnetic field obtained in free space from the Biot-Savart law and the magnetic field produced by earth current is discussed. It is shown that in practical cases the effects from earth currents can be neglected as compared with effects from line currents. Moreover the mitigation effects due to the passive loop are also investigated, whereas the mitigation loop can be treated as a rectangular loop (two-conductor closed mitigation loop) located near the power line horizontal or non-parallel to the earth surface.
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