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# Y-Δ transform

The Y-Δ transform, also written wye-delta and also known by many other names, is a mathematical technique to simplify the analysis of an electrical network. 

## AC motor

An AC motor is an electric motor driven by an alternating current (AC).

## Arthur E. Kennelly

Arthur Edwin Kennelly (December 17, 1861 – June 18, 1939), was an Irish-American electrical engineer.

## Circuit diagram

A circuit diagram (electrical diagram, elementary diagram, electronic schematic) is a graphical representation of an electrical circuit.

## Cycle (graph theory)

In graph theory, a cycle is a path of edges and vertices wherein a vertex is reachable from itself.

## Delta (letter)

Delta (uppercase Δ, lowercase δ or 𝛿; δέλτα délta) is the fourth letter of the Greek alphabet.

## Electrical network

An electrical network is an interconnection of electrical components (e.g. batteries, resistors, inductors, capacitors, switches) or a model of such an interconnection, consisting of electrical elements (e.g. voltage sources, current sources, resistances, inductances, capacitances).

## Electromagnetism uniqueness theorem

The electromagnetism uniqueness theorem states that providing boundary conditions for Maxwell's equations uniquely fixes a solution for those equations.

## Equivalence class

In mathematics, when the elements of some set S have a notion of equivalence (formalized as an equivalence relation) defined on them, then one may naturally split the set S into equivalence classes.

## Equivalent impedance transforms

An equivalent impedance is an equivalent circuit of an electrical network of impedance elements which presents the same impedance between all pairs of terminals as did the given network.

## Graph theory

In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.

## Kirchhoff's circuit laws

Kirchhoff's circuit laws are two equalities that deal with the current and potential difference (commonly known as voltage) in the lumped element model of electrical circuits.

## Network analysis (electrical circuits)

A network, in the context of electronics, is a collection of interconnected components.

## Petersen family

In graph theory, the Petersen family is a set of seven undirected graphs that includes the Petersen graph and the complete graph K6.

## Pi (letter)

Pi (uppercase Π, lowercase π; πι) is the sixteenth letter of the Greek alphabet, representing the sound.

## Planar graph

In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints.

## Polyphase system

A polyphase system is a means of distributing alternating-current electrical power where the power transfer is constant.

## Resistor

A resistor is a passive two-terminal electrical component that implements electrical resistance as a circuit element.

## Series and parallel circuits

Components of an electrical circuit or electronic circuit can be connected in many different ways.

## Star-mesh transform

The star-mesh transform (or star-polygon transform) is a mathematical circuit analysis technique to transform a resistive network into an equivalent network with one less node.

## Superposition theorem

The superposition theorem for electrical circuits states that for a linear system the response (voltage or current) in any branch of a bilateral linear circuit having more than one independent source equals the algebraic sum of the responses caused by each independent source acting alone, where all the other independent sources are replaced by their internal impedances.

## TeX

TeX (see below), stylized within the system as TeX, is a typesetting system (or "formatting system") designed and mostly written by Donald Knuth and released in 1978.

## Three-phase electric power

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

## Torus

In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle.

## References

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