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  2. Mathematics of three-phase electric power - Wikipedia

    en.wikipedia.org/wiki/Mathematics_of_three-phase...

    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 ...

  3. Power factor - Wikipedia

    en.wikipedia.org/wiki/Power_factor

    The power factor of a balanced polyphase circuit is the same as that of any phase. The power factor of an unbalanced polyphase circuit is not uniquely defined. A direct reading power factor meter can be made with a moving coil meter of the electrodynamic type, carrying two perpendicular coils on the moving part of the instrument. The field of ...

  4. Three-phase electric power - Wikipedia

    en.wikipedia.org/wiki/Three-phase_electric_power

    Three-phase transformer with four-wire output for 208Y/120 volt service: one wire for neutral, others for A, B and C phases. Three-phase electric power (abbreviated 3ϕ [1]) is a common type of alternating current (AC) used in electricity generation, transmission, and distribution. [2]

  5. Y-Δ transform - Wikipedia

    en.wikipedia.org/wiki/Y-Δ_transform

    It is widely used in analysis of three-phase electric power circuits. The Y-Δ transform can be considered a special case of the star-mesh transform for three resistors . In mathematics, the Y-Δ transform plays an important role in theory of circular planar graphs .

  6. Voltage regulation - Wikipedia

    en.wikipedia.org/wiki/Voltage_regulation

    The vector sum of V R and the voltage drops equals V S, and it is apparent in the diagrams that V S does not equal V R in magnitude or phase angle. Voltage phasor diagrams for a short transmission line serving lagging, in-phase, and leading loads. The diagrams show that the phase angle of current in the line affects voltage regulation ...

  7. Electric power transmission - Wikipedia

    en.wikipedia.org/wiki/Electric_power_transmission

    These reactive currents, however, cause extra heating losses. The ratio of real power transmitted to the load to apparent power (the product of a circuit's voltage and current, without reference to phase angle) is the power factor. As reactive current increases, reactive power increases and power factor decreases.

  8. Leading and lagging current - Wikipedia

    en.wikipedia.org/wiki/Leading_and_Lagging_Current

    Angle notation can easily describe leading and lagging current: . [1] In this equation, the value of theta is the important factor for leading and lagging current. As mentioned in the introduction above, leading or lagging current represents a time shift between the current and voltage sine curves, which is represented by the angle by which the curve is ahead or behind of where it would be ...

  9. Symmetrical components - Wikipedia

    en.wikipedia.org/wiki/Symmetrical_components

    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.