### Abstract

The paper discusses the problem of integrating the equations of state observers associated with direct field orientation (DFO) of AC motor drives and shows the results when the quasi-low pass filters used for integration are discretized based on the Zero Order Hold method (ZOH) and the First Order Hold method (FOH). In a typical observer implementation, the equations are discretized using the Euler method - this is a simple, straightforward approach. Integration is accurate only if the sampling time is small. However, in certain cases, it may not be possible to use a small sampling time. At higher sampling time and under special conditions (if the signals to be integrated are of high frequency), the integration process becomes more inaccurate because the Euler approximation starts losing significant area from under the curve. For a given sampling time, the integral output could be improved by using a more accurate integration method, for example, trapezoidal integration - this solution was already studied. The paper presents the results obtained when the observer equations are integrated with filters that are discretized using the ZOH and the FOH methods. The resulting integral outputs are compared with the ones of the Euler and trapezoidal methods. For illustration, a state observer for the permanent magnet synchronous motor is studied. The theoretical developments are supported with simulation results.

Original language | English (US) |
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Title of host publication | Proceedings, IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society |

Pages | 3694-3698 |

Number of pages | 5 |

DOIs | |

State | Published - 2012 |

Event | 38th Annual Conference on IEEE Industrial Electronics Society, IECON 2012 - Montreal, QC, Canada Duration: Oct 25 2012 → Oct 28 2012 |

### Other

Other | 38th Annual Conference on IEEE Industrial Electronics Society, IECON 2012 |
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Country | Canada |

City | Montreal, QC |

Period | 10/25/12 → 10/28/12 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Control and Systems Engineering
- Electrical and Electronic Engineering

### Cite this

*Proceedings, IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society*(pp. 3694-3698). [6389304] https://doi.org/10.1109/IECON.2012.6389304

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*Proceedings, IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society.*, 6389304, pp. 3694-3698, 38th Annual Conference on IEEE Industrial Electronics Society, IECON 2012, Montreal, QC, Canada, 10/25/12. https://doi.org/10.1109/IECON.2012.6389304

**Integration of observer equations used in AC motor drives by zero and First Order Hold discretization.** / Comanescu, Mihai.

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

TY - GEN

T1 - Integration of observer equations used in AC motor drives by zero and First Order Hold discretization

AU - Comanescu, Mihai

PY - 2012

Y1 - 2012

N2 - The paper discusses the problem of integrating the equations of state observers associated with direct field orientation (DFO) of AC motor drives and shows the results when the quasi-low pass filters used for integration are discretized based on the Zero Order Hold method (ZOH) and the First Order Hold method (FOH). In a typical observer implementation, the equations are discretized using the Euler method - this is a simple, straightforward approach. Integration is accurate only if the sampling time is small. However, in certain cases, it may not be possible to use a small sampling time. At higher sampling time and under special conditions (if the signals to be integrated are of high frequency), the integration process becomes more inaccurate because the Euler approximation starts losing significant area from under the curve. For a given sampling time, the integral output could be improved by using a more accurate integration method, for example, trapezoidal integration - this solution was already studied. The paper presents the results obtained when the observer equations are integrated with filters that are discretized using the ZOH and the FOH methods. The resulting integral outputs are compared with the ones of the Euler and trapezoidal methods. For illustration, a state observer for the permanent magnet synchronous motor is studied. The theoretical developments are supported with simulation results.

AB - The paper discusses the problem of integrating the equations of state observers associated with direct field orientation (DFO) of AC motor drives and shows the results when the quasi-low pass filters used for integration are discretized based on the Zero Order Hold method (ZOH) and the First Order Hold method (FOH). In a typical observer implementation, the equations are discretized using the Euler method - this is a simple, straightforward approach. Integration is accurate only if the sampling time is small. However, in certain cases, it may not be possible to use a small sampling time. At higher sampling time and under special conditions (if the signals to be integrated are of high frequency), the integration process becomes more inaccurate because the Euler approximation starts losing significant area from under the curve. For a given sampling time, the integral output could be improved by using a more accurate integration method, for example, trapezoidal integration - this solution was already studied. The paper presents the results obtained when the observer equations are integrated with filters that are discretized using the ZOH and the FOH methods. The resulting integral outputs are compared with the ones of the Euler and trapezoidal methods. For illustration, a state observer for the permanent magnet synchronous motor is studied. The theoretical developments are supported with simulation results.

UR - http://www.scopus.com/inward/record.url?scp=84872918672&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84872918672&partnerID=8YFLogxK

U2 - 10.1109/IECON.2012.6389304

DO - 10.1109/IECON.2012.6389304

M3 - Conference contribution

AN - SCOPUS:84872918672

SN - 9781467324212

SP - 3694

EP - 3698

BT - Proceedings, IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society

ER -