Analytical solutions for the optimal reference currents for MTPC/MTPA, MTPV and MTPF control of anisotropic synchronous machines

Eldeeb, Hisham; Hackl, Christoph M.; Kullick, Julian; Horlbeck, Lorenz

doi:10.1109/iemdc.2017.8002005

Cited by 12 publications

(8 citation statements)

References 12 publications

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“…Inserting (12) into (10) allows to rewrite the linearization of (11) as a quadratic function of the stator currents, i.e.…”

Section: A Online Linearizationmentioning

confidence: 99%

“…Until recently, publications providing analytical solutions either neglected resistive components or assumed magnetic linearity (or both) in the problem formulation [5][6][7][8]. These unnecessary simplifications were overcome in [1] (and partly in [9][10][11]), where a unified theory for OFTC was proposed, offering analytical solutions for all aforementioned operation strategies while considering stator resistance and magnetic nonlinearity to minimize copper losses (only). The main idea was to reformulate the optimization problems implicitly using quadrics and finding the optimal solution by intersecting two respective quadrics.…”

mentioning

confidence: 99%

“…the linearization of the machine torque can be2 For some M ∈ R n×m , g(x) ∈ R n and h(x) ∈ R m , the second-order approximation of the scalar function f (x) := g(x) M h(x) is given by(10) with gradient…”

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confidence: 99%

See 2 more Smart Citations

Generic loss minimization for nonlinear synchronous machines by analytical computation of optimal reference currents considering copper and iron losses

Hackl¹,

Kullick²,

Monzen³

2020

Preprint

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The unified theory (introduced in [1]), which allows to analytically solve the optimal feedforward torque control (OFTC) problem of anisotropic synchronous machines (SM), is extended by considering all relevant machine nonlinearities and copper and iron losses and, thus, minimizing the overall (steady-state) losses in the machine. Instead of the well known maximum torque per current (MTPC) operation strategy, maximum torque per losses (MTPL) is realized. The unified theory for the derivation of the analytical solution is briefly recapitulated. Moreover, current and speed dependent iron losses, as well as, magnetic saturation and cross-coupling effects are considered. The resulting nonlinear optimization problem is solved via online linearization of the relevant expressions. The linearization is exemplified for flux linkages and machine torque. The presented decision tree guarantees an optimal operation management and smooth transitions between all operation strategies such as MTPL, field weakening (FW), maximum current (MC) and maximum torque per voltage (MTPV). Finally, the extended unified theory is validated for a real, highly nonlinear SM.

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“…Inserting (12) into (10) allows to rewrite the linearization of (11) as a quadratic function of the stator currents, i.e.…”

Section: A Online Linearizationmentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Generic loss minimization for nonlinear synchronous machines by analytical computation of optimal reference currents considering copper and iron losses

Hackl¹,

Kullick²,

Monzen³

2020

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…This is where direct current i d comes into play: When focusing on the steady-state, it comes out that decreasing i d can enlarge the set of achievable torque and speed. The problem of computing the optimal electrical steady-state for maximizing torque or speed under (4) and (5) has been extensively studied in the literature (see for instance [7], [8] or [9]). Usually, when system is away from saturation bounds, i d is left at 0 in order to minimize energy consumption.…”

Section: Torque Tracking Under Constraintsmentioning

confidence: 99%

“…This is the so-called flux weakening operation (see [4], [5] or [6] to cite a few). The related problem, which aims computing the optimal electrical steady-state maximizing torque or speed under current and voltage constraints, has been extensively studied in the literature (see for instance [7], [8], [9]). The purpose of this paper is to analyze how those constraints impact transient as well.…”

Section: Introductionmentioning

confidence: 99%

Flux Weakening of PMSM for Enhancing Torque Tracking

Kreiss¹,

Trégouët²,

Delpoux³

et al. 2018

2018 European Control Conference (ECC)

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Permanent magnet synchronous motors associated to their drivers are subjected to both current and voltage saturations. Dealing with those limitations is the core of flux weakening problem which aims defining achievable operating conditions. In stark contrast with most of the literature focusing on the steady-state, this paper investigates how current and voltage constraints impact transient as well. In-depth analysis reveals that bounds affecting derivative of torque exerted by the machine are influenced by direct current. This suggests that by assigning proper value to this signal, one can shift torque limits beforehand in direction where high torque demand is expected to occur. Simulations suggest that this "preloading" strategy can indeed enhance torque tracking and help meeting the most demanding specifications. A comprehensive optimization framework for selecting the level of "preload" is also provided.

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Synchronmaschine

Schröder

Böcker

2021

Elektrische Antriebe – Regelung Von Antriebssystemen

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Analytical solutions for the optimal reference currents for MTPC/MTPA, MTPV and MTPF control of anisotropic synchronous machines

Cited by 12 publications

References 12 publications

Generic loss minimization for nonlinear synchronous machines by analytical computation of optimal reference currents considering copper and iron losses

Generic loss minimization for nonlinear synchronous machines by analytical computation of optimal reference currents considering copper and iron losses

Flux Weakening of PMSM for Enhancing Torque Tracking

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