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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. 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]

  4. Per-unit system - Wikipedia

    en.wikipedia.org/wiki/Per-unit_system

    As an example of how per-unit is used, consider a three-phase power transmission system that deals with powers of the order of 500 MW and uses a nominal voltage of 138 kV for transmission. We arbitrarily select S b a s e = 500 M V A {\displaystyle S_{\mathrm {base} }=500\,\mathrm {MVA} } , and use the nominal voltage 138 kV as the base voltage ...

  5. 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.

  6. Power-flow study - Wikipedia

    en.wikipedia.org/wiki/Power-flow_study

    In power engineering, the power-flow study, or load-flow study, is a numerical analysis of the flow of electric power in an interconnected system. A power-flow study usually uses simplified notations such as a one-line diagram and per-unit system, and focuses on various aspects of AC power parameters, such as voltages, voltage angles, real power and reactive power.

  7. Polyphase system - Wikipedia

    en.wikipedia.org/wiki/Polyphase_system

    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.

  8. 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. [2]

  9. Alpha–beta transformation - Wikipedia

    en.wikipedia.org/wiki/Alpha–beta_transformation

    The transform applied to three-phase currents, as used by Edith Clarke, is [2] = = [] [() ()]where () is a generic three-phase current sequence and () is the corresponding current sequence given by the transformation .

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