TY - CHAP

T1 - Analysis of Complexity Reduction in Kalman Filters Through Decoupling Control With Chattered Inputs in PMSM

AU - Kröger, Dennis

AU - Haus, Benedikt

AU - Mercorelli, Paolo

N1 - Conference code: 15

PY - 2022

Y1 - 2022

N2 - The purpose of this paper is to investigate the idea that by implementing decoupling control algorithms in Permanent Magnet Synchronous Machine (PMSM) controllers, observers like extended Kalman filters (EKFs) can achieve an advantage in computational load. In particular, the KF is designed as a combined state and parameter estimator. The approach is based on the possibility to consider individual electrical current dynamics, together with key system parameters influencing their dynamics, i.e. their inductances Ld, Lq, which is enabled by a decoupling control. Even though the decoupled dynamics are linear, the resulting augmented subsystems, including the inductances as estimation variables, are nonlinear. Furthermore, the paper shows that high-frequency inputs, caused, for example, by control chattering, can enable the EKF-based estimation of the inductances by providing for a never-ending transient phase in the case of the decoupled variant. The computational advantage is ultimately achieved by reducing the complexity of the Kalman filters by around 75%. The results are validated using computer simulations of coupled as well as decoupled control systems, also demonstrating the benefits of chattery input voltages.

AB - The purpose of this paper is to investigate the idea that by implementing decoupling control algorithms in Permanent Magnet Synchronous Machine (PMSM) controllers, observers like extended Kalman filters (EKFs) can achieve an advantage in computational load. In particular, the KF is designed as a combined state and parameter estimator. The approach is based on the possibility to consider individual electrical current dynamics, together with key system parameters influencing their dynamics, i.e. their inductances Ld, Lq, which is enabled by a decoupling control. Even though the decoupled dynamics are linear, the resulting augmented subsystems, including the inductances as estimation variables, are nonlinear. Furthermore, the paper shows that high-frequency inputs, caused, for example, by control chattering, can enable the EKF-based estimation of the inductances by providing for a never-ending transient phase in the case of the decoupled variant. The computational advantage is ultimately achieved by reducing the complexity of the Kalman filters by around 75%. The results are validated using computer simulations of coupled as well as decoupled control systems, also demonstrating the benefits of chattery input voltages.

KW - Engineering

UR - https://www.mendeley.com/catalogue/82dba4e5-1fac-3723-851b-2f63c0b1b950/

U2 - 10.1007/978-3-030-85318-1_47

DO - 10.1007/978-3-030-85318-1_47

M3 - Article in conference proceedings

SN - 978-3-030-85317-4

T3 - Lecture Notes in Control and Information Sciences - Proceedings book series (LNCOINSPRO)

SP - 815

EP - 827

BT - 15th European Workshop on Advanced Control and Diagnosis (ACD 2019)

A2 - Zattoni, Elena

A2 - Simani , Silvio

A2 - Conte, Giuseppe

PB - Springer Nature Switzerland AG

CY - Cham, Switzerland

T2 - Conference - 15th European Workshop on Advanced Control and Diagnosis (ACD 2019)

Y2 - 21 November 2019 through 22 November 2019

ER -