The paper deals with the self-induction of two parallel infinitely long conductors of arbitrary cross section connected to an ideal sinusoidal voltage source. The conductors do not move. A quasi-stationary behavior is assumed, the displacement current is neglected and the permeability of the conductors and their surroundings equals the permeability of vacuum. The subject matter of the paper is the calculation of impedance, which in the theory of circuits with lumped elements can replace 1 m of conductors. The definition of inductance and the formulae for its calculation that form part of textbooks on physics and electromagnetism have been the same for such a long time that nobody doubts their correctness. Only the recently published method for the calculation of current density in long parallel conductors allows calculating accurately the equivalent impedance and self-inductance, and also evaluating critically the present knowledge.
Flexibility is generally considered as the potential of a facility (generation/consumption or storage) to actively change the amount of its generation/consumption/accumulated energy based on price signals or direction. This control strategies is managed to correct deviations of the electricity grid or to ensure that the purchase/sale of electricity is profitable for the flexibility provider. This paper presents a comparison of the control of heat pump consumption to provide consumption flexibility.
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