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Symmetrical components are most commonly used for analysis of three-phase electrical power systems. The voltage or current of a three-phase system at some point can be indicated by three phasors, called the three components of the voltage or the current. This article discusses voltage; however, the same considerations also apply to current.
After the expiration of the Westinghouse patents on symmetrical two-phase and three-phase power distribution systems, the monocyclic system fell out of use; it was difficult to analyze and did not last long enough for satisfactory energy metering to be developed. High-phase-order systems Have been built and tested for power transmission.
The plotted line represents the variation of instantaneous voltage (or current) with respect to time. This cycle repeats with a frequency that depends on the power system. In electrical engineering, three-phase electric power systems have at least three conductors carrying alternating voltages that are offset in time by one-third of the period ...
However, due to the linearity of power systems, it is usual to consider the resulting voltages and currents as a superposition of symmetrical components, to which three-phase analysis can be applied. In the method of symmetric components, the power system is seen as a superposition of three components:
When analyzing unbalanced three-phase systems it is common to describe a system of symmetrical components. This models the machine by three components, each with a positive sequence reactance X 1 {\displaystyle X_{1}} , a negative sequence reactance X 2 {\displaystyle X_{2}} and a zero sequence reactance X 0 {\displaystyle X_{0}} .
One voltage cycle of a three-phase system. A polyphase system (the term coined by Silvanus Thompson) is a means of distributing alternating-current (AC) electrical power that utilizes more than one AC phase, which refers to the phase offset value (in degrees) between AC in multiple conducting wires; phases may also refer to the corresponding terminals and conductors, as in color codes.
This is the elegance of the clarke transform as it reduces a three component system into a two component system thanks to this assumption. Another way to understand this is that the equation I a + I b + I c = 0 {\displaystyle I_{a}+I_{b}+I_{c}=0} defines a plane in a euclidean three coordinate space.
The mutual influence of electrical conductors is reduced by transposition. Transposition also equalizes their impedance relative to the ground, thus avoiding one-sided loads in three-phase electric power systems. Transposing is an effective measure for the reduction of inductively linked normal mode interferences.