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High-Frequency Multi-Winding Magnetic Components: From Numerical Simulation to Equivalent Circuits With Frequency-Independent RL Parameters

機(jī)譯:高頻多繞組磁性元件:從數(shù)值模擬到等效電路,其頻率獨(dú)立的RL參數(shù)

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摘要

In this paper, mathematically rigorous RL circuits of high-frequency multi-winding transformers are identified using an original three-step numerical procedure. They are composed of frequency-independent coefficients and can therefore be introduced in classical circuit simulators. First, the finite-element method in 3-D magnetodynamics, together with homogenization techniques which reduce the overall computational burden, are employed to extract frequency-dependent impedances and voltage gains. Then, the identified equivalent circuit is modified by removing the static resistances from the impedances, so as to obtain frequency-independent voltage gains, or coupling coefficients. An algorithm which is valid for any number of windings is proposed to that end. Finally, the frequency-dependent impedances are identified to Foster networks with constant elements using an optimization algorithm. An experimental validation with an impedance analyzer is proposed.
機(jī)譯:在本文中,使用原始的三步數(shù)值程序確定了數(shù)學(xué)上嚴(yán)格的高頻多繞組變壓器的RL電路。它們由與頻率無(wú)關(guān)的系數(shù)組成,因此可以在經(jīng)典電路仿真器中引入。首先,采用3-D磁動(dòng)力學(xué)中的有限元方法以及減少總體計(jì)算負(fù)擔(dān)的均質(zhì)化技術(shù)來(lái)提取與頻率相關(guān)的阻抗和電壓增益。然后,通過(guò)從阻抗中去除靜態(tài)電阻來(lái)修改所識(shí)別的等效電路,從而獲得與頻率無(wú)關(guān)的電壓增益或耦合系數(shù)。為此,提出了一種對(duì)任何數(shù)量的繞組有效的算法。最后,使用優(yōu)化算法,對(duì)具有恒定元素的Foster網(wǎng)絡(luò)識(shí)別與頻率相關(guān)的阻抗。建議使用阻抗分析儀進(jìn)行實(shí)驗(yàn)驗(yàn)證。

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