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Measurement Results Based Approximation of the Nonlinear Flux-Current Characteristic of an Electromechanical Actuator

Kowalik Z.

Measurement Automation Monitoring

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2016

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Vol. 62, No. 2

49--54

EN

A Hamiltonian model of an electromechanical actuator requires approximation of its flux-current characteristic. It can be made using a simplicial approximation, which requires the sets of corresponding points in the spaces of currents and fluxes. These points can be chosen from the trajectories that describe the behaviour of the electromechanical system in these spaces. In the paper, a method of obtaining these trajectories by measurements is shown and four original methods of choosing points lying on them to construct the required points sets are presented. The sets are constructed so that they contain a possibly small number of points, but the approximation which is based on them is precise. The presented methods are used to approximate a flux-current characteristic of the prototype synchronous reluctance machine. The simulation results, computed using the models based on these approximations, are also presented and discussed. The best results are obtained by methods using the computed value of the magnetic field coenergy in the modelled machine.

2

Aproksymacja charakterystyki strumieniowo-prądowej przetwornika elektromechanicznego wykorzystująca wyniki pomiarów

Kowalik Z.

Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska

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2016

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nr 2

60--63

PL

Hamiltonowski model przetwornika elektromechanicznego wymaga aproksymacji jego charakterystyki strumieniowo-prądowej. Można jej dokonać kawałkami afinicznie w oparciu o zbiory odpowiadających sobie punktów w przestrzeniach prądów i strumieni. W artykule przedstawiono cztery oryginalne metody konstrukcji tych zbiorów w oparciu o dane pomiarowe. Najlepsze rezultaty osiągnięto za pomocą metod wykorzystujących obliczoną wartość koenergii pola w maszynie.

EN

A Hamiltonian model of an electromechanical actuator requires an approximation of its flux-current characteristic. It can be made using a piecewise affine function, based on sets of corresponding points in the spaces of flux and current. In the paper four original methods of constructing these sets based on measurements results are presented. The best results are obtained using methods that incorporate the computed value of the magnetic field coenergy in the modeled machine.

3

Development of a topology-based current-flux characteristic approximation in a Hamiltonian model of a reluctance machine

Burlikowski W., Kowalik Z.

Archives of Electrical Engineering

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2015

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Vol. 64, nr 2

277--289

EN

The paper presents an algorithm for the construction of an approximation of a highly nonlinear current-flux characteristic of a synchronous reluctance machine. Such an approximation is required in a Hamiltonian model of an electric machine and the constructed approximation is suited to be used in such a model. It employs a simplicial approximation based on irregular points sets in the spaces of currents and fluxes. The sets are constructed by the iterative insertion of new points. Initially the sets contain an arbitrarily small number of elements. The insertion is based on an approximation error calculation. Based on the sets containing possibly small number of elements, the proposed procedure leads to smooth and precise approximation. Due to the nonlinearity of the approximated characteristics, ambiguities can occur. A method for the triangulation refinement of the sets of currents and fluxes that eliminates them is also presented. In the paper, a reluctance machine model using the constructed approximation is described and compared with a model using the approximation based on regular sets.