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시스템 식별기법을 활용한 파압과 해수면 모델링

Modelling of Wind Wave Pressure and Free-surface Elevation using System Identification

  • 투고 : 2013.12.03
  • 심사 : 2013.12.30
  • 발행 : 2013.12.31

초록

해수면과 해저파압을 연계하는 모수 모형을 개발하기 위한 시스템 식별법을 제시하였다. 비선형 고정변수를 포함한 선형 시불변 모형 구조를 가정하고 추가적인 입력자료를 갖는 자기회귀모형 (ARX)을 이용하여 해저파압 시계열자료로부터 해수면 시계열자료를 또는 해수면 시계열자료로부터 해저파압 시계열자료를 추출하는 방법을 제시하였다. 임의로 선정된 해수면과 해저 파압 자료를 이용하여 모형을 검증하였으며, 유사한 해저수심의 파압자료와 다른 해상 기상조건으로 생성된 해수면 스펙트럼 자료를 통해 재검증하였다. 시스템 식별법을 이용한 방법이 전통적인 선형파 이론을 이용한 선형전송함수(LTF) 방법보다 전반적으로 더 정확하게 수행됨을 확인하였다. 또한 본 논문에서 제시된 방법으로 추정된 해저 파압 시계열모의는 수정 선형전송함수(corrected LTF)에 의한 결과와 유사함을 확인하였다.

A System Identification method to develop parametric models linking free surface elevation and wave pressure is presented and two models are built allowing for either wave pressure or free surface elevation simulation. Linear, time invariant model structures with static nonlinearities are assumed and solutions are sought in a form of autoregressive model with extra input (ARX). An arbitrary chosen free-surface elevation and wave pressure dataset is used for estimation of the models, which are subsequently verified against datasets with similar pressure gauge depth but different free-surface elevation spectra due to different meteorological conditions. It is shown that free-surface simulation using System Identification methods can perform better than traditional linear transfer function derived from linear wave theory (LTF), while wave pressure simulation quality using presented methods is generally similar to that obtained with corrected LTF.

키워드

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