• 제목/요약/키워드: nonlinear damped second order equation

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IDENTIFICATION PROBLEMS FOR THE SYSTEM GOVERNED BY ABSTRACT NONLINEAR DAMPED SECOND ORDER EVOLUTION EQUATIONS

  • Ha, Jun-Hong;Nakagiri, Shin-Ichi
    • 대한수학회지
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    • 제41권3호
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    • pp.435-459
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    • 2004
  • Identification problems for the system governed by abstract nonlinear damped second order evolution equations are studied. Since unknown parameters are included in the diffusion operator, we can not simply identify them by using the usual optimal control theories. In this paper we present how to solve our identification problems via the method of transposition.

비선형 부하를 고려한 감쇠 진동형 임펄스 전류발생기의 설계 기법 (Optimum Design Methodology of the Damped Oscillatory Impulse Current Generator Considering a Nonlinear Load)

  • 장석훈;이재복;;명성호;조연규
    • 전기학회논문지
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    • 제57권12호
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    • pp.2255-2262
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    • 2008
  • This paper presents a design parameter calculation methodology and its realization to construction for the damped oscillatory impulse current generator(ICG) modelled as damping factor $\alpha$. Matlab internal functions, "fzero" and "polyfit" are applied to find a which are solutions of second order nonlinear equation related with three wave parameters $T_{1},T_{2}$ and $I_{os}$. The calculation results for standard impulse current waveforms such as 4/10${\mu}s$, 8/20${\mu}s$ and 30/80${\mu}s$ show very good accuracy and this results make it possible to extend to generalization in the design of damped oscillatory lCG with any capacitor. 8/20${\mu}s$ ICG based on the calculated design circuit parameters is fabricated in consideration of the nonlinear load(MOV) variation. Comparisons of the tested waveforms with the designed estimation show error within 10% for the waveform tolerance recommended in IEC 60060-1 and IEEE std. C62.45.