The Smith Chart is not generally used for making impedance calculations when the characteristic impedance of the two terminal-pair network involved is anything but a real number because normalization of some terminati...
详细信息
The Smith Chart is not generally used for making impedance calculations when the characteristic impedance of the two terminal-pair network involved is anything but a real number because normalization of some terminating impedances to the complex characteristic impedance may result in a normalized impedance whose real part is negative, and a "propagation constant" whose magnitude is greater than one, even though no active elements are involved in the network. This paper shows how impedances may be calculated using the Smith Chart and associated techniques in much the same manner, and almost as conveniently, as for lossless transmission lines, even though the network may be unsymmetrical, and have complex image impedances and propagation constant. The calculations are mathematically rigorous and simple using the Smith Chart only for converting back and forth between the complex numbers Г in polar form and Z in rectangular form where Г and Z are related by the mathematical expression Z- Z+ 1 No physical interpretation of these numbers is made during the computation as no such interpretation is necessary or useful as far as the method is concerned and may even confuse the main issue, that of a simple solution to a heretofore complex problem.
The electric power transmission lines on large jet aircraft must be selected with the power system performance characteristics in mind as well as the conductor current carrying capabilities. Trade-offs between total s...
详细信息
Necessary and sufficient conditions are derived for a function to be the driving-point impedance of a physically realizable network consisting (essentially) of lumped resistors and lossless transmission lines. The cir...
详细信息
Necessary and sufficient conditions are derived for a function to be the driving-point impedance of a physically realizable network consisting (essentially) of lumped resistors and lossless transmission lines. The circuits so developed are thoroughly practical for pure reactances and in many other special cases, but, in general, ideal transformers are sometimes required. A rigorous correspondence between lumped-constant circuits and line-resistor circuits is established. This correspondence immediately extends the usefulness of a wealth of theorems and techniques.
Since the concept of multivariable positive real functions was introduced, the synthesis of these functions and matrices, concerning passive networks composed of lumped elements and of lumped and transmission-line ele...
详细信息
Since the concept of multivariable positive real functions was introduced, the synthesis of these functions and matrices, concerning passive networks composed of lumped elements and of lumped and transmission-line elements, has been one of the most interesting problems in the field of circuit theory. This paper considers the synthesis of cascaded transmission-line networks of noncommensurate unit elements with the following structures: 1) a cascade connection of m transmission lines N_{i} (i= 1, 2, \cdots ,m) in a prescribed order, each N_{i} being a transmission line with open-ended stubs, composed of unit elements of a single variable p_{i} ; 2) a transmission line with open-ended stubs composed of unit elements of P_{2} , connected in cascade between two transmission lines composed of unit elements of p_{1} ; 3) a cascade connection of m transmission lines N_{i} (i = 1, 2, \cdots ,m) in an arbitrary order, each N_{i} being a transmission line composed of unit elements of p_{i} ; and 4) a transmission line composed of commensurate unit elements with open-ended stubs, partitioned from a multivariable network.
Complete solution is given to the problem of realizing, with the minimum possible number of elements, a biquadratic nonminimum phase RC voltage transfer function, having zeros anywhere in the s plane. All possible equ...
详细信息
Complete solution is given to the problem of realizing, with the minimum possible number of elements, a biquadratic nonminimum phase RC voltage transfer function, having zeros anywhere in the s plane. All possible equivalent realizations are discussed, and it is shown that there exists a great flexibility in choosing the network elements.
Power system studies involving economics, stability, short circuits, load flows, etc., require a knowledge of transmission line characteristics. Traditionally, these characteristics have been determined either by fiel...
详细信息
Power system studies involving economics, stability, short circuits, load flows, etc., require a knowledge of transmission line characteristics. Traditionally, these characteristics have been determined either by field tests or by mathematical computations. The construction of a 118-mile bundled EHV line between Johnsonville and Memphis, Tenn., afforded a much needed opportunity to compare tested line characteristic values against digitally computed values. The comparison is of industry interest because of the increasing use of digital computers for such calculations.
暂无评论