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基于NRBO-VMD-WOA-ELM混合算法的短期风速预测OA

Short-term wind speed forecasting based on a hybrid NRBO-VMD-WOA-ELM algorithm

中文摘要英文摘要

针对现有短期风速预测精度较低的问题,本文提出了一种基于变分模态分解(variational mode decomposition,VMD)、牛顿-拉夫逊参数优化(Newton-Raphson-based opti-mizer,NRBO)、鲸鱼优化算法(whale optimization algorithm,WOA)和极限学习机(extreme learning machine,ELM)的混合预测模型.通过NRBO动态优化VMD的惩罚因子α与模态数K,获得若干中心频率不同且具有较窄带宽的本征模态函数(intrinsic mode functions,IMFs)分量并抑制模态混叠,提高了各子序列的学习效率和预测精度,其中IMF1~IMF4为高频成分(占比4.95%),IMF5为趋势主成分(占比95.05%),IMF5的高精度预测及其误差传递特性,直接决定了总模型误差上限;采用WOA优化ELM权重和阈值,进行单个分量预测,最终重构分量预测值输出结果.以某桥位实测风速数据进行了精度验证,结果表明:以WOA-ELM为基准模型,引入 VMD 分解后,EMAE 降低 60.09%,在此基础上进一步引入 NRBO 优化策略,EMAE 再降41.67%.同时与传统模型相比,EMAE分别降低了80.11%、80.53%、63.79%和80.37%;经WOA全局搜索优化ELM模型的权重和阈值后,提高了模型的稳定性及泛化能力,进一步验证了参数动态优化对预测效果的提升,且具有一定的工程应用价值.

To address the limitations of existing short-term wind speed prediction methods in terms of accuracy,this study proposes a hybrid prediction model that integrates the variational mode decomposition(VMD),the Newton-Raphson-based optimizer(NRBO),whale optimization algorithm(WOA),and the extreme learning machine(ELM).The penalty factor α and mode number K of VMD are dynamically optimized by NRBO,yielding intrinsic mode functions(IMFs)with well-separated center frequencies and narrow bandwidths,effectively suppressing mode mixing and improving the learning efficiency and prediction accuracy of each sub-sequence.The decomposition produces four high-frequency components(IMF1~IMF4,accounting for 4.95%of total energy)and one low-frequency trend component(IMF5,accounting for 95.05%of total energy),where IMF5ʼs prediction accuracy primarily determines the upper bound of the overall model error through error propagation.The weights and thresholds of ELM for each component are subsequently optimized by WOA to enhance individual component prediction and final signal reconstruction.Validated using field-measured wind speed data at a bridge site,the results demonstrate that,relative to the baseline model WOA-ELM,the introduction of VMD decomposition reduces EMAE by 60.09%,and the subsequent incorporation of NRBO further reduces EMAE by 41.67%.Compared with four conventional single models,EMAE reductions of 80.11%,80.53%,63.79%,and 80.37%are achieved,respectively.Furthermore,WOA optimization of ELM weights and thresholds improves model stability and generalization capability,confirming the effectiveness of the proposed parameter dynamic optimization strategy with demonstrated potential for engineering applications.

赵国辉;王珞歆;王峰;李加武

长安大学 公路学院,陕西 西安 710064长安大学 公路学院,陕西 西安 710064长安大学 公路学院,陕西 西安 710064长安大学 公路学院,陕西 西安 710064

交通工程

风速预测牛顿-拉夫逊法变分模态分解鲸鱼优化算法极限学习机

wind speed predictionNewton-Raphson methodvariational mode decompositionwhale optimiza-tion algorithmextreme learning machine

《湖南大学学报(自然科学版)》 2026 (7)

41-52,12

国家自然科学基金资助项目(51978077),National Natural Science Foundation of China(51978077)

10.16339/j.cnki.hdxbzkb.2026059

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