Algorithm for time-domain steady-state analysis of electrical machines accounting for saturation

Radzik, M.; Sobczyk, Tadeusz

doi:10.1109/isem.2017.7993545

Cited by 3 publications

(11 citation statements)

References 3 publications

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“…The modified algorithm is based on the discrete differential operator D , described in details in [4][5][6][7]. The operator D fulfils, for periodic vector function…”

Section: Novel Algorithmmentioning

confidence: 99%

“…Direct steady-state calculations for electromagnetic devices are a subject of continued research in both the frequency and time domains. The nonlinearities embedded in the mathematical models of such objects cause the time-domain approach [1][2][3][4][5][6][7] preferable over the frequency-domain approach [8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

“…In [4] the first-order discrete differential operator was defined and used in [5,6] and [7] to create the finite-difference steady-state equations for nonlinear differential equations with periodic steady-state solutions. This new type operator relates first-derivative values of a periodic function to values of that function in a set of time instants that are uniquely distributed over the period.…”

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confidence: 99%

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Bulletin of the Polish Academy of Sciences: Technical Sciences

Sobczyk¹,

Radzik²

2019

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This paper presents the improved methodology for the direct calculation of steady-state periodic solutions for electromagnetic devices, as described by nonlinear differential equations, in the time domain. A novel differential operator is developed for periodic functions and the iterative algorithm determining periodic steady-state solutions in a selected set of time instants is identified. Its application to steady-state analysis is verified by an elementary example. The modified algorithm reduces the complexity of steady-state analysis, particularly for electromagnetic devices described by high-dimensional nonlinear differential equations.

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“…The modified algorithm is based on the discrete differential operator D , described in details in [4][5][6][7]. The operator D fulfils, for periodic vector function…”

Section: Novel Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Bulletin of the Polish Academy of Sciences: Technical Sciences

Sobczyk¹,

Radzik²

2019

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Section: Introductionmentioning

confidence: 99%

“…In [34][35][36][37], an alternate approach to determine the periodic steady-state solution for nonlinear electrical circuits has been proposed and tested. The method presented in [35][36][37] combines harmonic balance and direct time-domain methods. Based on harmonic balance relations between the periodic function and its first derivatives, the relation between the values of the function and its derivative for a set of time points is constituted in the form of a discrete differential operator.…”

Section: Introductionmentioning

confidence: 99%

Bulletin of the Polish Academy of Sciences: Technical Sciences

Sobczyk,

Radzik

2018

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This paper investigates an algorithm for finding steady-states in electromechanical systems for the cases of their periodic nature. The algorithm enables to specify the steady-state solution identified directly in time domain. The basis for such an algorithm is a discrete differential operator that specifies the values of the first derivative of the periodic function in the selected set of points on the basis of the values of that function in the same set of points. It creates algebraic equations describing the steady-state solution for the nonlinear differential equations describing electromechanical systems. In this paper, the direct time-domain approach is tested for the simple converter considering. The algorithm used in this paper is competitive with respect to the one known in literature an approach based on the harmonic balance method operated in frequency domain.

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