# Steady-State Mathematical Modeling of a Five-Phase Induction Machine with a Combined Star/Pentagon Stator Winding Connection

Ayman Abdel-Khalik, Shehab Ahmed, Ahmed M. Massoud

Research output: Contribution to journalArticle

15 Citations (Scopus)

### Abstract

This paper presents the steady-state mathematical model of a five-phase induction machine with a combined star/pentagon connection. The connection splits the stator winding into two five-phase windings displaced in space by π/10 and connected in a combined star/pentagon configuration. Recent work limited to an experimental investigation demonstrated that the connection possesses improved fault tolerance when compared to a conventional star-connected stator, as well as avoids the pentagon connection problems. Although the machine has five-phase terminals, it is intrinsically an asymmetrical ten-phase machine, which introduces additional subspaces in the machine's mathematical model. In order to theoretically investigate and thoroughly assess this connection against conventional connections, this paper introduces the steady-state mathematical model based on vector space decomposition and symmetrical component theory. Finite-element analysis is first used to investigate the different harmonic current components induced in the cage rotor circuit, upon which the effect of different subspaces can be clarified and the required transformation matrix from phase variables to their sequence components can be derived. The model is verified using a 1-kW prototype five-phase induction machine.

Original language English 7302599 1331-1343 13 IEEE Transactions on Industrial Electronics 63 3 https://doi.org/10.1109/TIE.2015.2493151 Published - 1 Mar 2016

### Fingerprint

Stators
Stars
Mathematical models
Vector spaces
Fault tolerance
Rotors
Decomposition
Finite element method
Networks (circuits)

### Keywords

• fault tolerant
• Five-phase machine
• induction machine
• pentagon connection
• star connection
• star/pentagon connection
• stator winding configuration

### ASJC Scopus subject areas

• Control and Systems Engineering
• Computer Science Applications
• Electrical and Electronic Engineering

### Cite this

In: IEEE Transactions on Industrial Electronics, Vol. 63, No. 3, 7302599, 01.03.2016, p. 1331-1343.

Research output: Contribution to journalArticle

title = "Steady-State Mathematical Modeling of a Five-Phase Induction Machine with a Combined Star/Pentagon Stator Winding Connection",
abstract = "This paper presents the steady-state mathematical model of a five-phase induction machine with a combined star/pentagon connection. The connection splits the stator winding into two five-phase windings displaced in space by π/10 and connected in a combined star/pentagon configuration. Recent work limited to an experimental investigation demonstrated that the connection possesses improved fault tolerance when compared to a conventional star-connected stator, as well as avoids the pentagon connection problems. Although the machine has five-phase terminals, it is intrinsically an asymmetrical ten-phase machine, which introduces additional subspaces in the machine's mathematical model. In order to theoretically investigate and thoroughly assess this connection against conventional connections, this paper introduces the steady-state mathematical model based on vector space decomposition and symmetrical component theory. Finite-element analysis is first used to investigate the different harmonic current components induced in the cage rotor circuit, upon which the effect of different subspaces can be clarified and the required transformation matrix from phase variables to their sequence components can be derived. The model is verified using a 1-kW prototype five-phase induction machine.",
keywords = "fault tolerant, Five-phase machine, induction machine, pentagon connection, star connection, star/pentagon connection, stator winding configuration, steady-state model",
author = "Ayman Abdel-Khalik and Shehab Ahmed and Massoud, {Ahmed M.}",
year = "2016",
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T1 - Steady-State Mathematical Modeling of a Five-Phase Induction Machine with a Combined Star/Pentagon Stator Winding Connection

AU - Abdel-Khalik, Ayman

AU - Ahmed, Shehab

AU - Massoud, Ahmed M.

PY - 2016/3/1

Y1 - 2016/3/1

N2 - This paper presents the steady-state mathematical model of a five-phase induction machine with a combined star/pentagon connection. The connection splits the stator winding into two five-phase windings displaced in space by π/10 and connected in a combined star/pentagon configuration. Recent work limited to an experimental investigation demonstrated that the connection possesses improved fault tolerance when compared to a conventional star-connected stator, as well as avoids the pentagon connection problems. Although the machine has five-phase terminals, it is intrinsically an asymmetrical ten-phase machine, which introduces additional subspaces in the machine's mathematical model. In order to theoretically investigate and thoroughly assess this connection against conventional connections, this paper introduces the steady-state mathematical model based on vector space decomposition and symmetrical component theory. Finite-element analysis is first used to investigate the different harmonic current components induced in the cage rotor circuit, upon which the effect of different subspaces can be clarified and the required transformation matrix from phase variables to their sequence components can be derived. The model is verified using a 1-kW prototype five-phase induction machine.

AB - This paper presents the steady-state mathematical model of a five-phase induction machine with a combined star/pentagon connection. The connection splits the stator winding into two five-phase windings displaced in space by π/10 and connected in a combined star/pentagon configuration. Recent work limited to an experimental investigation demonstrated that the connection possesses improved fault tolerance when compared to a conventional star-connected stator, as well as avoids the pentagon connection problems. Although the machine has five-phase terminals, it is intrinsically an asymmetrical ten-phase machine, which introduces additional subspaces in the machine's mathematical model. In order to theoretically investigate and thoroughly assess this connection against conventional connections, this paper introduces the steady-state mathematical model based on vector space decomposition and symmetrical component theory. Finite-element analysis is first used to investigate the different harmonic current components induced in the cage rotor circuit, upon which the effect of different subspaces can be clarified and the required transformation matrix from phase variables to their sequence components can be derived. The model is verified using a 1-kW prototype five-phase induction machine.

KW - fault tolerant

KW - Five-phase machine

KW - induction machine

KW - pentagon connection

KW - star connection

KW - star/pentagon connection

KW - stator winding configuration

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