Thesis (Ph. D.)--University of Wisconsin--Madison, 1967. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

Thesis (M.S.)--University of Wisconsin--Madison, 1964. / eContent provider-neutral record in process. Description based on print version record. Bibliography: l. 55.

Includes bibliographical references and index.

Thesis--Wisconsin. / Vita. Includes bibliographical references (leaves 192-193).

Thesis--University of Wisconsin--Madison. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 200-210).

Thesis (M.S.)--University of Wisconsin--Madison, 1967. / eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

M.Ing. (Electrical & Electronic Engineering) / The emphasis is currently. on improving the performance and operational costs of compensators rather than finding new topologies. In the light of improving the operational costs of a compensator, a thorough knowledge of the losses in the compensator is required. This thesis analyses the losses in two commonly used compensators : the static VAR compensator (SVC) and the dynamic compensator. The dynamic compensator is then further subdivided into voltage-fed (VFC) and current-fed (CFC) dynamic compensator categories. Two processes are employed in this thesis: the instantaneous measurement of current and voltage to calculate the power losses and the subsequent modelling of these losses. As a first step the necessity for these loss-models are investigated by researching the extent to which these types of compensators are employed in practical power networks for the compensation of power factor and for harmonic elimination. This study then progresses to investigate the validity of the formula used to calculate power losses. Errors are always encountered when measuring signals and performing calculations on these measurements. These errors are studied and mathematically quantified. In the past various errors have been made in developing loss models for compensators. Some of these errors are investigated in this thesis. To enable the correct modelling of the losses in the various individual components of .compensators, the operation of these compensators must be understood. This is done and attention is given to the particular operational environments within which these components operate. The literature is then surveyed to find loss-models which are most appropriate for these conditions. In some instances existing models are adequate, while in others certain refinements are made, and in still others new loss-models are developed. It is out of these new models that the frequency-dependent inductor model is developed. This model can be used in any environment where voltage and current harmonics are present...

In this thesis, computer methods for the transient analysis of networks are investigated. Numerical transform techniques are developed to solve the differential equations a rising in network simulation. Extensions to permit inclusion of some nonlinear elements are considered. Efficient methods for implementing the techniques are developed. For the transform techniques, error estimates are derived. Using these estimates, algorithms for the automatic determination of solution parameters are developed. Advantages over other numerical transform and numerical integration techniques are revealed. For nonlinear networks, it is shown that use of a Newton-Raphson scheme for solving nonlinear algebraic equations is difficult when coupled with transform methods for solving differential equations. Instead, an alternative technique is developed. Steps which are easily generated, but which only approximate Newton-Raphson steps, are used. The implementation of the transform techniques and the nonlinear solution is considered. A program using a sparse tableau form of network equations is discussed. The program is in two sections. The first reads in the network descriptions, and writes a series of Fortran subroutines for performing the analysis efficiently. The subroutines must be compiled, and are used by the second part of the program to perform the actual analysis. Examples which illustrate the performance of the various techniques are presented. / Applied Science, Faculty of / Electrical and Computer Engineering, Department of / Graduate

Procedures for the synthesis of a class of two-element-kind multiport networks are developed and illustrated by examples. In the RC case, the networks consist of the series connection of an R network and an RC network. The latter contains at least one capacitor tree so that its open-circuit impedance matrix vanishes at infinite frequency. It is shown that for a network within the class, the open-circuit impedance matrix and the normal form state model are equivalent in that, given one, the other can be written immediately. The synthesis problem then takes the form of the determination of a normal coordinate transformation such that the transformed state variables may be identified as capacitor voltage variables in a passive RC network. Two procedures are described for determining a transformation (modal) matrix which yields an irreducible realization of a given kxk, nͭʰ degree impedance matrix. There are ½(n-k) (n-k-l) degrees of freedom in the modal matrix. General analytical solutions are possible when n≤k+2, one greater than in existing methods. The main procedure yields a network with, in general, n + ½k(k+1) capacitors. A set of necessary conditions, easily applied to the given impedance matrix, is derived. Necessary and sufficient conditions are given for the special case k=2, n=3- An alternative procedure yields a network with n capacitors. Using either procedure, it is possible to simultaneously minimize both the number of elements and the total capacitance in the network. By introducing additional equations into the main procedure, numerical solutions for the modal matrix may be determined for any value of n. With k=2, the procedure yields a new class of minimal, grounded two-port networks consisting of one π-section and n-2 T-sections connected in parallel. The severity of the realizability conditions is approximately proportional to n. A given 2x2 impedance matrix may be realized exactly, or one driving-point impedance function may be realized, exactly and the transfer impedance function with a desired gain factor (within the limits of realizability). A computational procedure is given which minimizes the total capacitance and optimizes the voltage gain factor. / Applied Science, Faculty of / Electrical and Computer Engineering, Department of / Graduate

In this thesis the use of the digital computer in determining the steady-state response of nonlinear networks is investigated. Two classes of such networks, forced oscillating networks and self-oscillating networks, are considered. For the first class, a method of obtaining the network equations is developed, and an algorithm for calculating the numerical solution is obtained. For the second class, the development is restricted to those networks which can be described by [ Formula omitted ] and the previous algorithm is extended to solve this problem. For both classes, a substitution is developed which can expedite the analysis when the nonlinearities are exponential in character. The effectiveness of the methods is demonstrated by examples. / Applied Science, Faculty of / Electrical and Computer Engineering, Department of / Graduate