Kp Forecast Model Using Unscented Kalman Filtering

Abstract

The planetary geomagnetic Kp index (3-hour average recorded every 3 hours) exhibits a high degree of correlation from one value to the next. In fact, a simple persistence model that forecasts the next 3-hr value as being equal to the current value shows a linear correlation coefficient of r = 0.797 and a root-mean square error of RMSE = 0.918 from actual values as calculated using historic Kp data from solar cycles 17 through 23. This simple persistence model can be used as a baseline for comparison to other forecast models and, when interpolation effects are taken into account, provides forecasts that are better correlated and have a smaller RMSE to the actual data than most existing neural network methods that use sentinel solar wind and interplanetary magnetic field data. A new forecast method based on the unscented Kalman filter (UKF) is developed to generate forecasts of Kp using previous values of this index to fully exploit persistence and sentinel solar wind interplanetary magnetic field data to provide a geomagnetic storm trigger. The resulting forecast model performs better than all existing Kp forecast models. Model performance is measured by calculating the linear correlation coefficient and the RMSE between the forecast value and the actual value. A new skill score that assesses how well the model predicts the onset of a geomagnetic storm is also introduced. The UKF-based model offers the opportunity for further improvement by adding new inputs and refining the state and measurement functions in the filter and can be used to forecast other geomagnetic indices as well.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2010
Accession Number
ADA531706

Entities

People

  • Charles J. Wetterer
  • Kevin Scro
  • Moriba Jah

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Air Force
  • Air Force Research Laboratories
  • Data Science
  • Data Sets
  • Filters
  • Filtration
  • Information Science
  • Kalman Filtering
  • Kalman Filters
  • Magnetic Disturbances
  • Magnetic Fields
  • Magnetic Storms
  • Mathematical Analysis
  • Measurement
  • Solar Cycle
  • Solar Wind
  • Space Weather

Fields of Study

  • Environmental science

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Approximation Theory.
  • Solar Physics

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms
  • AI & ML - Neural Networks