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Mathematics and Computers in Simulation
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Inner loop model predictive control and outer loop PI reference governor for PMSMs with input and state saturation for torque control

Authors: Zwerger, Tanja; Mercorelli, Paolo;

Inner loop model predictive control and outer loop PI reference governor for PMSMs with input and state saturation for torque control

Abstract

This contribution considers a torque control scheme consisting of model predictive control (MPC) in the inner control loop together with PI reference governor in the outer control loop and a decoupling feedforward control for an isotropic permanent magnet synchronous machine (PMSM). This innovative approach is known in literature as PI-MPC dual loop control. A particular emphasis is given to the control governor strategy which is the outer loop PI reference governor and allows to regulate the machine in the flux weakening region and is therefore only active for field weakening. In this context the analysis of the stability based on Lyapunov’ approach of the control loop in flux weakening region is shown. The desired currents represent the reference currents for the MPC, which forms the inner control loop. The MPC is adapted using an extended Kalman filter (EKF), which estimates inductance of the electrical system in coordinates by using a bivariate polynomial. Compared measurements with a hardware-in-the-loop (HIL) system show the effectiveness of the proposed control scheme with respect to a standard PI controller in inner loop (PI-PI scheme) in the presence of saturated inputs and state of a PMSM. The proposed MPC uses just an optimal, proportional control and thus avoids windup effects. Measurement results in the presence of input and state saturations show that MPC is working without overshoot in the currents which leads to less needed power in input.

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Keywords

PI-MPC, saturation, /dk/atira/pure/subjectarea/asjc/2600/2604; name=Applied Mathematics, /dk/atira/pure/subjectarea/asjc/2600/2614; name=Theoretical Computer Science, Saturation, Feedback control, /dk/atira/pure/core/keywords/559014392; name=Engineering, /dk/atira/pure/subjectarea/asjc/1700; name=Computer Science(all), /dk/atira/pure/subjectarea/asjc/2600/2612; name=Numerical Analysis, EKF, Adaptive control/observation systems, PMSM, Nonlinear systems in control theory, Decoupled system, /dk/atira/pure/subjectarea/asjc/2600/2611; name=Modelling and Simulation, decoupled system

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Top 10%
Top 10%
Top 10%
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