Vector Diagram

Also found in: Dictionary, Thesaurus, Medical.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

Vector Diagram


a graphical representation of the values of periodically varying quantities and the relationships between them by means of directed line segments called vectors.

Vector diagrams are widely used in electrical engineering, acoustics, optics, and other areas of science. The simple harmonic functions of one period, for example,

f1 = B1 sin ωt

f2 = B2 sin (α+ωt)

f3 = B3 sin (β+ωt)

can be represented graphically (see Figure 1) as projections on the Oy axis of vectors OA1OA2, and OA3 rotating with constant angular velocity ω, while OA2 and OA3 are turned by the angles α and β with reference to OA1. The length of the vectors corresponds to the amplitude of the oscillation:

The sum or difference of two or more oscillations is indicated on a vector diagram as the geometric sum or difference of the vectors of the component oscillations, obtained according to the parallelogram rule, and the instantaneous value of the unknown quantity is determined by the projection of the vector sum on the Oy axis.

Figure 1

For example, it is required to find the sum F of the oscillations fl with amplitude OA1 and f2, with amplitude OA2. By the geometric addition of vectors OA1 and OA2 on the vector diagram, we find that the amplitude of the summed oscillation F is equal to the length of vector OC = OA1 + OA2 and leads the oscillation f1 in phase by the angle φ

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
The vector diagram of these final forces, radiating out in the proper directions from the neutral origin points with a force proportional to the distance from the origin, is shown in Figure 3.
Caption: Figure 5: The vector diagram when ES is applied to restrain the demand side power fluctuation while noncritical load is resistive-inductive.
The zero vectors include [V.sub.0(000)] and [V.sub.7(111)], which will be corresponding to small vectors of three-level vector diagram. As shown in Figure 4 the whole diagram as a big hexagon is divided into 6 areas marked with S = n (n = 1, 2, 3, 4, 5, and 6), and S is the center of each corresponding small hexagon, which transforms the three-level voltage space vectors into two-level ones.
Caption: Figure 9: Decomposed two-level space vector diagram.
Caption: FIGURE 9: Velocity vector diagram of a runner in the x-y plane and at the outlet when the degree of the relative opening of the cylindrical valve is 0.9.
The vector diagram of formed asymmetrical current system and obtained as results of computation other electromagnetic quantities calculation is presented below.
Vector diagram of primary and secondary windings' current and voltage of electric power line with lagging current over voltage, is shown in Fig.
To illustrate this effect in another way, the impact of insertion loss is shown in Figure 3 using a vector diagram of Equation 2 in which one plot assumes no loss (L = 1) and the other plot includes the effect of adding insertion loss.
A vector diagram will show what is occurring during transitions.
The phase non-linearity due to adjacent channel recombination is calculated from the vector diagram of Figure 11, where the adjacent channel interference signal voltage is shown as a small vector (A2) rotating about the head of the in-band channel signal voltage (A1).