10 relations: Alpha–beta transformation, Cartesian coordinate system, Dot product, Edith Clarke, Power inverter, Robert H. Park, Symmetrical components, Tensor, Three-phase electric power, Vector control (motor).

## Alpha–beta transformation

In electrical engineering, the alpha-beta (\alpha\beta\gamma) transformation (also known as the Clarke transformation) is a mathematical transformation employed to simplify the analysis of three-phase circuits.

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## Cartesian coordinate system

A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.

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## Dot product

In mathematics, the dot product or scalar productThe term scalar product is often also used more generally to mean a symmetric bilinear form, for example for a pseudo-Euclidean space.

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## Edith Clarke

Edith Clarke (February 10, 1883 – October 29, 1959) was the first female electrical engineer and the first female professor of electrical engineering at the University of Texas at Austin.

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## Power inverter

A power inverter, or inverter, is an electronic device or circuitry that changes direct current (DC) to alternating current (AC).

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## Robert H. Park

Robert H. Park (March, 1902 – February 18, 1994) was an American electrical engineer and inventor, best known for the Park's transformation, used to simplify the analysis of three-phase electric circuits.

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## Symmetrical components

In electrical engineering, the method of symmetrical components simplifies analysis of unbalanced three-phase power systems under both normal and abnormal conditions.

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## Tensor

In mathematics, tensors are geometric objects that describe linear relations between geometric vectors, scalars, and other tensors.

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## Three-phase electric power

Three-phase electric power is a common method of alternating current electric power generation, transmission, and distribution.

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## Vector control (motor)

Vector control, also called field-oriented control (FOC), is a variable-frequency drive (VFD) control method in which the stator currents of a three-phase AC electric motor are identified as two orthogonal components that can be visualized with a vector.

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## References

[1] https://en.wikipedia.org/wiki/Direct-quadrature-zero_transformation