Interval Prediction of Dynamic Line Rating of OHL Based on Improved Affine Arithmetic

Dynamic Line Rating (DLR) holds significant importance in fully tapping transmission potential of overhead transmission line and mitigating power shortage challenges compared to Static Line Rating (SLR). However, existing interval prediction methods based on affine arithmetic for DLR exhibit limitations such as excessively conservative prediction intervals and high computational burden. In order to tackle these challenges, the multiplication and division operations of affine arithmetic are improved by reducing the quadratic terms and introducing the interval Taylor formula in this paper. Based on these improvements, an interval prediction method for DLR is proposed by using the improved affine arithmetic. Finally, the computed results of the improved affine arithmetic, traditional affine arithmetic, and Monte Carlo algorithm are compared to validate the accuracy and practicality of the proposed method.