Thesis (Ph. D.)--University of Wisconsin--Madison, 1968. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliography.

Thesis (Ph. D.)--University of Wisconsin--Madison, 1957. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves [117]-121).

Thesis (M.S.)--University of Wisconsin--Madison, 1965. / eContent provider-neutral record in process. Description based on print version record. Bibliography: l. 49.

Thesis (M.S.)--University of Wisconsin--Madison, 1965. / eContent provider-neutral record in process. Description based on print version record. Bibliography: l. 82-84.

Thesis (Ph. D.)--University of Wisconsin--Madison, 1966. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

M.Ing. / This dissertation describes the development and characteristics of a thyristor controlled reactive three phase network which is used for the compensation of reactive power in a power network. The problem of distortion in power networks is illustrated and the development of a thyristor controlled reactive three phase network is motivated. The considerations that were taken into account in the design of the network are explained and the experimental setup is evaluated. A computer simulation was done to verify a single phase model of the reactive power network. The driving function in power networks is a singular harmonic voltage and distortion is defined as any deviation ofthe current from a scaled, in phase version of the voltage. Distortion is caused byloads with a non-linear nature such as arc furnaces and variable speed drives. Reactive power, which forms part of the distortion problem, is caused by loads with a phase shift between the voltage and current. Distortion has several adverse effects on a power network resulting in the degrading of the quality of the supply. At present the state of the art in technology does not permit the economic compensation of distortion with dynamic filters at MVA levels. However, by compensating the reactive power present in a network byusing variable reactive elements, the remaining distortion in the network can be compensated by using a dynamic filter. The combination ofa thyristor controlled reactive network and a dynamic filter are termed a hybrid power compensator. Results are shown where a hybrid power compensator has been implimented to compensate distortion caused by a non-linear load. The thyristor controlled reactive three phase network described in this dissertation is rated at 21 kVAr and comprises the following on a per phase basis: The series combination of a fixed capacitor bank and a filter inductance is connected via an isolation transformer to a reactor and two anti parallel thyristors. The reactive elements have been dimensioned in such a way that reactive power can only be generated and not absorbed.

In this dissertation, positive-real conformal transformations are used to develop synthesis procedures for the realization of driving-point immittance functions by exponentially- tapered distributed RC networks. These synthesis procedures include the realization by uniform distributed RC networks as a special case. New equivalent circuits are developed for the exponentially- tapered distributed RC network. These differ from the equivalent circuits for the uniform distributed RC network through the presence of positive and negative lumped elements and ideal transformers. It is found that the lumped elements must be eliminated from the equivalent circuits developed for exponentially tapered distributed RC networks before it is possible to apply a positive-real conformal transformation to change the synthesis problem into a lumped LC synthesis problem. Hence, through Richards Theorem, a cascade synthesis procedure for the realization of driving-point immittance functions is developed. Various cascade network realizations are presented. Additional distributed RC sections are used in these realizations to compensate for the lumped elements in the equivalent circuits. Before the synthesis procedure can be applied, it is necessary to approximate any specified driving-point immittance function by a function that is realizable by one of the network configurations presented. A digital computer with plotting facilities is deemed necessary for this purpose. / Applied Science, Faculty of / Electrical and Computer Engineering, Department of / Graduate

The impedance realizing ability of minimal two-element kind networks is considered. As a preamble, a comprehensive survey of relevant mathematics and existing results is presented. An argument based on group theory is used to demonstrate the complex nature of the solution for non-canonic networks. The modal matrix of normal co-ordinate transformation on the cut set admittance matrix is interpreted geometrically as a set of vectors satisfying certain conditions, imposed by the topology and the parameters of the input function of the network, in two Euclidean vector spaces. The existence of the modal matrix, hence the existence of these vectors, is the necessary and sufficient condition for physical realizability. Explicit formulas are developed for third order networks and numerical algorithms for the fourth order networks. A necessary condition is given on the parameters of Z(s) for realizability for networks containing a linear tree of one kind of element. / Applied Science, Faculty of / Electrical and Computer Engineering, Department of / Graduate

A new method of realizing two-element-kind driving-point Impedances is given and illustrated by examples. In this method, networks of any desired topology and having a minimum of elements are utilized. A transformation to normal coordinates forms the basis of the method and, in order to determine network element values, evaluation of the associated transformation matrix is necessary. This matrix is found by formulating and solving a set of multivariable polynomial equations of second degree. The solution to this set of polynomial equations is obtained by a numerical perturbation procedure. To initiate the procedure, a set of element values is chosen, and the network of specified topology is analysed. The corresponding transformation matrix and driving-point impedance are determined from this analysis. The impedance parameters are then perturbed by small amounts in the direction of the specified ones, and the resulting changes in the transformation matrix are calculated. The process is continued until the transformation matrix corresponding to the specified impedance is obtained. A detailed description of the computer program written to carry out the above procedure is Included. A large number of examples of various complexities, including some canonic structures, have been realized by the method. Examples show the superiority of the numerical method to conventional procedures for solving multivariable nonlinear equations. In particular, the choice of the initial set of element values is not required to be close to the final set to achieve convergence to a solution. Some restrictions on the realizability of irreducible complementary tree structures are reported. It is shown that the specification parameters may have local extrema at a point where the Jacobian of the system of polynomial equations vanishes. Examples which support these results are given. / Applied Science, Faculty of / Electrical and Computer Engineering, Department of / Graduate

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