### Abstract

The paper discusses the problem of flux estimation for the induction motor (IM) drive and presents a sensorless observer. The intention is to estimate the IM fluxes in the stationary reference frame in order to obtain both the magnitude and the angle of the rotor flux. The flux magnitude is typically used for d axis feedback; the flux angle is needed for field orientation. The paper presents an alternative state-space model of the IM. Based on this, a Lyapunov-type nonlinear state observer with continuous feedback is designed. The paper first assumes that the speed is known and develops a sensored observer; then, this is transformed into a sensorless observer by feeding it with a speed estimate (assumed inaccurate). This method eliminates the speed measurement. The paper shows that, despite the improper speed input, the design yields a partially accurate estimate of the state vector that is sufficient for obtaining the magnitude and angle of the flux. Previous observers developed under the same conditions based on the traditional IM model were only capable of estimating the angle of the flux (but not the magnitude). The novelty is that this method also yields an accurate flux magnitude. It is shown that the equilibrium point of the observer is influenced by the design gains; with high enough gain, the observer converges. The theoretical developments are supported by simulations.

Original language | English (US) |
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Title of host publication | 7th IET International Conference on Power Electronics, Machines and Drives, PEMD 2014 |

Publisher | Institution of Engineering and Technology |

Edition | 628 CP |

ISBN (Print) | 9781849198158 |

DOIs | |

State | Published - Jan 1 2014 |

Event | 7th IET International Conference on Power Electronics, Machines and Drives, PEMD 2014 - Manchester, United Kingdom Duration: Apr 8 2014 → Apr 10 2014 |

### Publication series

Name | IET Conference Publications |
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Number | 628 CP |

Volume | 2014 |

### Other

Other | 7th IET International Conference on Power Electronics, Machines and Drives, PEMD 2014 |
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Country | United Kingdom |

City | Manchester |

Period | 4/8/14 → 4/10/14 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Electrical and Electronic Engineering

### Cite this

*7th IET International Conference on Power Electronics, Machines and Drives, PEMD 2014*(628 CP ed.). (IET Conference Publications; Vol. 2014, No. 628 CP). Institution of Engineering and Technology. https://doi.org/10.1049/cp.2014.0294

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*7th IET International Conference on Power Electronics, Machines and Drives, PEMD 2014.*628 CP edn, IET Conference Publications, no. 628 CP, vol. 2014, Institution of Engineering and Technology, 7th IET International Conference on Power Electronics, Machines and Drives, PEMD 2014, Manchester, United Kingdom, 4/8/14. https://doi.org/10.1049/cp.2014.0294

**A sensorless induction motor flux observer with inaccurate speed input based on an alternative state-space model.** / Mock, Trey; Bimeal, Randi; Ling, Stephen; Comanescu, Mihai.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - A sensorless induction motor flux observer with inaccurate speed input based on an alternative state-space model

AU - Mock, Trey

AU - Bimeal, Randi

AU - Ling, Stephen

AU - Comanescu, Mihai

PY - 2014/1/1

Y1 - 2014/1/1

N2 - The paper discusses the problem of flux estimation for the induction motor (IM) drive and presents a sensorless observer. The intention is to estimate the IM fluxes in the stationary reference frame in order to obtain both the magnitude and the angle of the rotor flux. The flux magnitude is typically used for d axis feedback; the flux angle is needed for field orientation. The paper presents an alternative state-space model of the IM. Based on this, a Lyapunov-type nonlinear state observer with continuous feedback is designed. The paper first assumes that the speed is known and develops a sensored observer; then, this is transformed into a sensorless observer by feeding it with a speed estimate (assumed inaccurate). This method eliminates the speed measurement. The paper shows that, despite the improper speed input, the design yields a partially accurate estimate of the state vector that is sufficient for obtaining the magnitude and angle of the flux. Previous observers developed under the same conditions based on the traditional IM model were only capable of estimating the angle of the flux (but not the magnitude). The novelty is that this method also yields an accurate flux magnitude. It is shown that the equilibrium point of the observer is influenced by the design gains; with high enough gain, the observer converges. The theoretical developments are supported by simulations.

AB - The paper discusses the problem of flux estimation for the induction motor (IM) drive and presents a sensorless observer. The intention is to estimate the IM fluxes in the stationary reference frame in order to obtain both the magnitude and the angle of the rotor flux. The flux magnitude is typically used for d axis feedback; the flux angle is needed for field orientation. The paper presents an alternative state-space model of the IM. Based on this, a Lyapunov-type nonlinear state observer with continuous feedback is designed. The paper first assumes that the speed is known and develops a sensored observer; then, this is transformed into a sensorless observer by feeding it with a speed estimate (assumed inaccurate). This method eliminates the speed measurement. The paper shows that, despite the improper speed input, the design yields a partially accurate estimate of the state vector that is sufficient for obtaining the magnitude and angle of the flux. Previous observers developed under the same conditions based on the traditional IM model were only capable of estimating the angle of the flux (but not the magnitude). The novelty is that this method also yields an accurate flux magnitude. It is shown that the equilibrium point of the observer is influenced by the design gains; with high enough gain, the observer converges. The theoretical developments are supported by simulations.

UR - http://www.scopus.com/inward/record.url?scp=84901827369&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84901827369&partnerID=8YFLogxK

U2 - 10.1049/cp.2014.0294

DO - 10.1049/cp.2014.0294

M3 - Conference contribution

AN - SCOPUS:84901827369

SN - 9781849198158

T3 - IET Conference Publications

BT - 7th IET International Conference on Power Electronics, Machines and Drives, PEMD 2014

PB - Institution of Engineering and Technology

ER -