Abstract
In this paper, an application of the Harmonic Balance Method (HBM) for analysis of Axial Flux Permanent Magnet Generator (AFPMG) is carried out. Particular attention was paid to development of mathematical model equations allowing to estimate the machine properties, without having to use quantitative solutions. The methodology used here allowed for precise determination of Fourier spectra with respect to winding currents and electromagnetic torque (both quantitatively and qualitatively) in steady state operation. Analyses of space harmonic interaction in steady states were presented for the three-phase AFPMG. Satisfactory convergence was between the results of calculations and measurements which confirmed the initial assumption that the developed circuit models of AFPMG are sufficiently accurate and can be useful in the diagnostic analyses, tests and the final stages of the design process.
Highlights
Spatial Harmonic InteractionsInterest in Permanent Magnet (PM) synchronous generators is associated with a global trend to support local energy supplied with renewable energy sources such as wind or water power, in which synchronous generators excited by permanent magnets are being increasingly applied [1,2,3,4,5,6]
The most suitable are so-called circuit models, commonly used in conventional machines [9,10,11,12,16,22] and the purpose of this paper is to extend the mathematical modeling methodology for this specific class of machines, i.e., axial flux PM synchronous generators operating in steady state
We focused on the methodology of Harmonic Balance Method (HBM) application for Axial Flux Permanent Magnet Generator (AFPMG) modelling in which we considered the influence of higher harmonics of the flux density distribution and the influence of space harmonics influence on the winding currents and the electromagnetic torque
Summary
Interest in Permanent Magnet (PM) synchronous generators is associated with a global trend to support local energy supplied with renewable energy sources such as wind or water power, in which synchronous generators excited by permanent magnets are being increasingly applied [1,2,3,4,5,6]. Their coefficients; it is a simple extension of the symbolic method and leads to algebraization of the machine description in steady states This approach is competitive with FEM analysis and allows to combine the electromagnetic phenomena occurring in the process of energy conversion in electrical machines. This paper presents developed HBM mathematical models that enable the execution of such analyses for diagnostic purpose Another aspect of the usefulness of mathematical models is, in addition to the analysis of these effects that are usually of parasitic nature, the possibility to synthesize harmonic interactions at the stage of designing the machine. A detailed analysis and solution of this system of equations using the HBM enables qualitative (frequency determination) and quantitative (amplitude determination) assessment of Fourier spectrums of currents and electromagnetic torque
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