用历史用电数据预测长期电力需求,无需温度经济等外部因素。
Long-Term Electricity Demand Prediction Using Non-negative Tensor Factorization and Genetic Algorithm-Driven Temporal Modeling
- 通过非负张量分解提取多维用电数据的低维时间特征
- 遗传算法优化时间模型超参数,使预测误差更低
- 适合需要可解释性与扩展性的长期电力预测场景
本研究提出一种仅依赖历史用电数据的长期电力需求预测新框架,不使用温度或经济指标等外部变量。方法将用电数据建模为包含电力公司、工业部门和年份的三阶张量,采用非负约束下的典型多项式分解提取潜在年际成分。利用自回归模型对年维度因子进行预测,并通过验证集上的预测误差或重构精度,由遗传算法优化时间模型的超参数。基于日本真实用电数据的对比实验表明,该方法在均方误差上优于无张量分解或进化优化的基线模型。同时发现,通过张量分解降低模型自由度可提升泛化能力,且通过多次运行或集成策略可缓解非负张量分解的初始化敏感问题。结果表明,该框架具备可解释性、灵活性与可扩展性,适用于其他结构化时间序列预测任务。
原文摘要 · Abstract (English)
This study proposes a novel framework for long-term electricity demand prediction based solely on historical consumption data, without relying on external variables such as temperature or economic indicators. The method combines Non-negative Tensor Factorization (NTF) to extract low-dimensional temporal features from multi-way electricity usage data, with a Genetic Algorithm that optimizes the hyperparameters of time series models applied to the latent annual factors. We model the dataset as a third-order tensor spanning electric utilities, industrial sectors, and years, and apply canonical polyadic decomposition under non-negativity constraints. The annual component is forecasted using autoregressive models, with hyperparameter tuning guided by the prediction error or reconstruction accuracy on a validation set. Comparative experiments using real-world electricity data from Japan demonstrate that the proposed method achieves lower mean squared error than baseline approaches without tensor decomposition or evolutionary optimization. Moreover, we find that reducing the model's degrees of freedom via tensor decomposition improves generalization performance, and that initialization sensitivity in NTF can be mitigated through multiple runs or ensemble strategies. These findings suggest that the proposed framework offers an interpretable, flexible, and scalable approach to long-term electricity demand prediction and can be extended to other structured time series forecasting tasks.
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