MAXIMUM STEADY VOLTAGE AND CURRENT IN A HOMOGENEOUS ALTERNATING CURRENT LINE

Abstract

The paper considers the problem of determining of maximum values of voltage and current in a long line. The processes have been analyzed at stationary processes, depending on the length of the line and its load. Line length has been varied from zero to its wave length. Range of the load value has been changed from short-circuit mode to idle mode. The method of complex amplitudes has been used for this research. Modes have been considered for the ideal line without distortion. Exact analytical solutions have been obtained for these types of circuits. Calculations have been made for lines with arbitrary losses. It has been found that for the ideal line and undistorted lines the set of the maximum voltage and current could be always achieved for degenerated modes. It has been observed that for the case of lines with arbitrary losses local maxima for current and voltage could take place (when the load on the mode of short- circuit current up to idle mode, and the physical length of the line from zero to its wave length). Introduction of dimensionless parameter of load, for short-circuit and no-load, made it possible to obtain generalized dependencies between changing of investigated parameters for any wave length of the line and the range of variation of its load.

Keywords

• Ideal transmission line
• a
• arbitrary losses