Circuit Analysis of A-C Power Systems; Symmetrical and Related Components, Volume 1

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Wiley, 1943 - Electric circuits - 540 pages
 

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Start Date April 30, 2016

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Page 52 - a system of n vectors or quantities may be resolved, when n is prime, into n different symmetrical groups or systems, one of which consists of n equal vectors and the remaining (n - 1) systems consist of n equi-spaced vectors which with the first mentioned group of equal vectors forms an equal number of symmetrical n-phase systems...".
Page 4 - Its direction is from the origin of the first vector to the terminus of the last vector.
Page 10 - EMF) and the currents are constantly changing from maximum positive to maximum negative, but the specified or effective value is equal to the square root of the average value of the square of the instantaneous values, which, for a true sine wave, is equal to the maximum value divided by \/ 2.
Page 17 - The numerical per unit value of any quantity is its ratio to a chosen base quantity of the same dimension. Thus a per unit quantity is a normalized quantity with respect to the chosen base value.
Page 193 - ... therefore, we exchange the imaginary and real components, changing the sign of the latter in so doing. We then proceed as though the angle were hyperbolic. The model permits of the projection of cos (=*= 0i =*= t0j) between the limits of + < and — oo in 0!, and the limits of +1.4 and — 1.4 in 02. 4 Chart Atlas of Complex Hyperbolic and Circular Functions, by AE Kennelly, Harvard University Press, 1914.
Page 193 - ... foot of the projection from the hyperbola. This effects a geometrical process which is easily apprehended and 1 " Two Elementary Constructions in Hyperbolic Trigonometry," by AE Kennelly, Am. Annals of Mathematics, Salem Press, 2d Series. Vol. V, No. 4, pp. 181-184, July, 1904, mainly reproduced in " Tables of Complex Hyperbolic and Circular Functions," by AE Kennelly, Harvard University Press, 1914, Figs. 19-22, pp. 165-168. 2 " Artificial Electric Lines," by AE Kennelly, McGraw-Hill Book Co.,...
Page 65 - Well, a dot product is defined in the geometrical sense as the product of the magnitude of two vectors multiplied by the cosine of the angle between them.
Page 169 - Five Place Table of Natural Trigonometric Functions to Hundredths of a Degree.
Page 2 - A vector is represented by a straight line, of length proportional to the magnitude of the vector, extending in the direction of the vector and terminated by an arrowhead.

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