Masters Theses


"The use of operational mathematics in the solution of engineering problems has grown tremendously in the last two decades, particularly during the last war. This has come about because of the facility with which problems which would be almost impossibly complicated or tedious to solve by classical methods can be solved using operational calculus.

The operational calculus, particularly the Laplace transform method, has become especially useful in the field of servomechanisms and controls. Here the constantly increasing complexity of systems used has resulted in very high order differential equations. The fact that the Laplace transform method makes it possible to inject the boundary conditions into the initial equations is often a great advantage in their solution. In addition, the fact that much can often be learned about the behavior of a system by a study of its operational equations, without having to resort to an actual solution, makes this approach even more valuable.

This paper proposes to develop the complete operational solution, or transfer function, of a specific control system, namely, the modified Kramer system for speed control of induction motors. This transfer function is derived as a basis for further study of the performance of the system, or of its components"--Introduction, page 1.


Zaborszky, John


Electrical and Computer Engineering

Degree Name

M.S. in Electrical Engineering


Missouri School of Mines and Metallurgy

Publication Date



iv, 69 pages

Note about bibliography

Includes bibliographical references (pages 67-68).


© 1952 David L. Hillhouse, All rights reserved.

Document Type

Thesis - Open Access

File Type




Subject Headings

Calculus, Operational
Laplace transformation
Servomechanisms -- Mathematical models

Thesis Number

T 1016

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