Accounting of intermediate power take-off in the mathematical model of the half-wavelength transmission line

Abstract

The paper studies the mathematical model of the half-wavelength transmission line with intermediate power take-off. The methods of direct calculation of parameters of an equivalent circuit and a four-terminal network are used for the development of the mathematical model of the half-wavelength transmission line with intermediate power takeoff. The calculations are carried out using MathCAD. The presented results demonstrate the features of accounting the individual elements of the mathematical model of the half-wavelength transmission line, which are included in the appropriate power transmission nodes, and their effect on regime parameter calculation. It is shown that the wave character of line parameters variations should be taken into account for the complete and reliable calculation of the regime parameters in any point of the half-wavelength transmission line. Otherwise, the calculation results are contradictory. At the same time, the calculation of regime parameters in the intermediate points should consider that the parameters of long distance transmission lines have a distributed character while the nature of the included element parameters is concentrated.