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Real-time bias correction of Beaslesan dual-pol radar rain rate using the dual Kalman filter

듀얼칼만필터를 이용한 이중편파 레이더 강우의 실시간 편의보정

  • Na, Wooyoung (School of Civil, Environmental and Architectural Engineering, Korea University) ;
  • Yoo, Chulsang (School of Civil, Environmental and Architectural Engineering, Korea University)
  • 나우영 (고려대학교 공과대학 건축사회환경공학과) ;
  • 유철상 (고려대학교 공과대학 건축사회환경공학부)
  • Received : 2020.02.07
  • Accepted : 2020.03.06
  • Published : 2020.03.31

Abstract

This study proposes a bias correction method of dual-pol radar rain rate in real time using the dual Kalman filter. Unlike the conventional Kalman filter, the dual Kalman filter predicts state variables with two systems (state estimation system and model estimation system) at the same time. Bias of rain rate is corrected by applying the bias correction ratio to the rain rate estimate. The bias correction ratio is predicted from the state-space model of the dual Kalman filter. This method is applied to a storm event with long duration occurred in July 2016. Most of the bias correction ratios are estimated between 1 and 2, which indicates that the radar rain rate is underestimated than the ground rain rate. The AR (1) model is found to be appropriate for explaining the time series of the bias correction ratio. The time series of the bias correction ratio predicted by the dual Kalman filter shows a similar tendency to that of observation data. As the variability of the bias correction increases, the dual Kalman filter has better prediction performance than the Kalman filter. This study shows that the dual Kalman filter can be applied to the bias correction of radar rain rate, especially for long and heavy storm events.

본 연구에서는 듀얼칼만필터를 이용하여 이중편파 레이더 강우의 편의를 실시간으로 보정할 수 있는 방법을 제안하였다. 듀얼칼만필터는 기존의 칼만필터와 달리 두 개의 시스템(상태추정시스템, 모형추정시스템)이 동시에 가동되면서 실시간으로 상태변수가 예측된다. 강우강도 추정치에 보정계수를 적용함으로써 편의보정이 이루어지며, 보정계수는 듀얼칼만필터의 상태-공간모형에 의해 실시간으로 예측된다. 해당 기법을 2016년 7월에 발생한 지속시간이 긴 호우사상에 대해 적용하고 편의보정 결과를 평가하였다. 먼저, 보정계수는 대부분 1과 2 사이의 값으로 산정되어 지상관측 강우강도보다 레이더 강우강도가 약간 과소추정되는 경향을 보였다. 보정계수에 대한 시계열을 설명할 수 있는 모형으로는 AR(1) 모형이 적합한 것으로 확인되었다. 아울러 듀얼칼만필터로 예측한 보정계수는 관측된 자료를 이용하여 산정한 보정계수와 유사한 경향을 가지는 것으로 나타났다. 칼만필터와의 비교 결과, 보정계수의 변동성이 커질수록 듀얼칼만필터가 칼만필터에 비해 우수한 예측 성능을 가지는 것으로 확인되었다. 본 연구를 통해 강우의 변동성이 크고, 지속시간이 긴 호우사상에 대한 듀얼칼만필터의 적합성이 검증되었다.

Keywords

Acknowledgement

Supported by : 한국환경산업기술원

본 결과물은 환경부의 재원으로 한국환경산업기술원의 물환경사업의 지원을 받아 연구되었습니다(127559).

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