Tang Weizhen, Dai Jie, Li Yuantai
Civil Aviation Ombudsman Training College, Civil Aviation Flight University of China, Guanghan, 618307, China.
College of Air Traffic Management, Civil Aviation Flight University of China, Guanghan, 618307, China.
Sci Rep. 2025 Apr 10;15(1):12231. doi: 10.1038/s41598-025-97264-0.
Confronted with the imperatives of sustainable development within the civil aviation sector, the precision in prognostication of aircraft fuel expenditure emerges as a critical imperative. To overcome the shortcomings in the current study of aircraft range fuel prediction, we propose a novel fuel consumption prediction model that integrates Wavelet Packet Decomposition (WPD) with an Improved Arctic Puffin Optimization (IAPO) optimized Bidirectional Long-Short-Term Memory network-Kolmogorov-Arnold network (BiLSTM-KAN). Initially, Pearson's correlation coefficient is employed to select the most significant features. Subsequently, WPD decomposes the raw fuel consumption data into subsequences across various frequency bands. The BiLSTM network effectively captures long-term dependency features within the sequence data, which are then input into KAN to further elucidate the complex nonlinear relationships present in the data. Additionally, the SPM chaotic mapping strategy is utilized for population initialization, while the introduction of the golden sine operator variation strategy enhances the local search capabilities of the algorithm. The adaptive swoop switching strategy adjusts the search intensity, thereby improving the global search performance and convergence speed of the Arctic Puffin Optimization (APO). Ultimately, the multi-strategy improved APO is employed to optimize the hyperparameters of the BiLSTM-KAN model, allowing for the superposition of each subsequence to yield the final prediction results. Experimental results indicate that in the B737 aircraft model, the Mean Squared Error, Normalized Root Mean Squared Error (NRMSE), Mean Absolute Percentage Error (MAPE), and Coefficient of Determination (R) of the proposed WPD-IAPO-BiLSTM-KAN model are 34.57, 0.0061, 3.81, and 0.9974, respectively. In the A320 aircraft model, the MSE, NRMSE, MAPE, and R of this model are 40.71, 0.0078, 2.61, and 0.9934, respectively. In the B747 aircraft model, the MSE, NRMSE, MAPE, and R of the model are 242.17, 0.0110, 3.88, and 0.9828, respectively. The WPD-IAPO-BiLSTM-KAN model surpasses other comparative models in prediction accuracy, exhibiting a low prediction error. This model represents a novel and effective approach to predicting airline fuel consumption and provides valuable insights for reducing aircraft fuel consumption.
面对民航领域可持续发展的迫切需求,飞机燃油消耗预测的精确性成为一项关键要务。为克服当前飞机航程燃油预测研究中的不足,我们提出了一种新颖的燃油消耗预测模型,该模型将小波包分解(WPD)与改进的北极海鹦优化算法(IAPO)优化的双向长短期记忆网络 - 柯尔莫哥洛夫 - 阿诺德网络(BiLSTM - KAN)相结合。首先,使用皮尔逊相关系数来选择最重要的特征。随后,WPD将原始燃油消耗数据分解为不同频段的子序列。BiLSTM网络有效地捕捉序列数据中的长期依赖特征,然后将这些特征输入到KAN中,以进一步阐明数据中存在的复杂非线性关系。此外,采用SPM混沌映射策略进行种群初始化,同时引入黄金正弦算子变异策略增强算法的局部搜索能力。自适应俯冲切换策略调整搜索强度,从而提高北极海鹦优化算法(APO)的全局搜索性能和收敛速度。最终,采用多策略改进的APO来优化BiLSTM - KAN模型的超参数,将每个子序列叠加得到最终预测结果。实验结果表明,在B737飞机模型中,所提出的WPD - IAPO - BiLSTM - KAN模型的均方误差、归一化均方根误差(NRMSE)、平均绝对百分比误差(MAPE)和决定系数(R)分别为34.57、0.0061、3.81和0.9974。在A320飞机模型中,该模型的MSE、NRMSE、MAPE和R分别为40.71、0.0078、2.61和0.9934。在B747飞机模型中,该模型的MSE、NRMSE、MAPE和R分别为242.17、0.0110、3.88和0.9828。WPD - IAPO - BiLSTM - KAN模型在预测精度上优于其他对比模型,预测误差较低。该模型代表了一种预测航空公司燃油消耗的新颖且有效的方法,并为降低飞机燃油消耗提供了有价值的见解。