Rotor Flux Estimation of an Induction Motor using the Extended Luenberger Observer

확장된 루엔버거 관측기를 이용한 유도전동기 회전자 자속 추정

  • Published : 2001.04.01

Abstract

In this paper, authors propose a new nonlinear rotor flux observer for rotor field oriented control of an induction motor which is designed based on the extended Luenberger Observer theory. Extended Luenberger Observer requires minimal solution of nonlinear partial differential equation on its coordinate transformation and linearization needed on a nonlinear observer design in general. The proposed rotor flux observer is derived from the 2 phase model of induction motor on the orthogonal coordination and it has the reduce gain matrix. Simulation and experimentation were performed under the conventional indirect vector control and direct vector control with the proposed observer at different rotor resistance. Simulation results show that the convergence of the proposed observer is influenced by the chosen eigenvalues. Experimentation results on load operation show the direct vector control with the proposed observer is better than the indirect vector control to maintain the characteristics of the vector control.

본 논문에서는 유도전동기 회전자 자속 기준제어를 위하여 비선형 관측기인 확장된 루엔버거 관측기 원리를 적용한 새로운 회전자 자속관측기를 제안하였다. 확장된 루엔버거 관측기는 확장된 칼만 필터와 유사하게 동특성 오차의 선형화 기법을 따트고 있으나 통계학적 속성의 노이즈 공분산을 고려하지 않는 결정론적 관측기로서 비선형 상태관측기 설계시 요구되는 좌표변환 및 선형화 파정에서 비선형 편미분 방정식의 직접적인 해를 펼요로 하지 않아 구현이 비교적 용이하다. 제안된 회전자 자속관측기는 직교좌표의 고정자 전류, 회전자 자속, 속도 및 부하 토크로 구성된 6차 미분방정식으로부터 유도되었으며 축약된 형태의 이득행렬을 갖는다. 시뮬레이션 및 실험은 파라 미터중 회전자 저항 값이 변동된 상황을 가정하여 수행하였으며, 시뮬레이션 결과 제안된 관측기를 이용한 자속 추정시 극점 재배치를 통하여 동특성 오차의 수렴성을 제어할 수 있으며, 부하 설험결과 제안된 관측기를 적용하는 경우에는 슬립적분형 간접벡터제어에 비해 보다 정확한 벡터제어가 가능함이 확인되었다.

Keywords

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