Electric Power ›› 2026, Vol. 59 ›› Issue (5): 33-45.DOI: 10.11930/j.issn.1004-9649.202511063
• Key Technologies for Safe and Efficient Operation and Collaborative Control of Active Distribution Networks • Previous Articles Next Articles
ZHANG Huaitian1(
), JIA Dongli1, WANG Shuai1, HE Kaiyuan1, REN Zhaoying1, LIU Jiajing1, HU Xuekai2
Received:2025-11-21
Revised:2026-04-26
Online:2026-05-15
Published:2026-05-28
Supported by:ZHANG Huaitian, JIA Dongli, WANG Shuai, HE Kaiyuan, REN Zhaoying, LIU Jiajing, HU Xuekai. Short-term load forecasting method for distribution networks based on transformer and ensemble learning[J]. Electric Power, 2026, 59(5): 33-45.
| 预测模型 | 数据预处理 | 特征 |
| Ensemble Transformer | 正弦余弦位置 编码+嵌入编码 | 自注意力机制+差异化 Dropout正则化集成 |
| STformer[ | 负荷序列趋势- 波动分解 | 稀疏注意力机制+ Dropout正则化 |
| XGBoost+ Informer[ | XGBoost关键 特征选择 | 概率稀疏自注 意力机制 |
| 标准Transformer | 正弦余弦位置 编码+嵌入编码 | 标准自注意力机制 |
| LSTM | / | 经典LSTM结构 |
Table 1 Comparison of data preprocessing and model architectures across different models
| 预测模型 | 数据预处理 | 特征 |
| Ensemble Transformer | 正弦余弦位置 编码+嵌入编码 | 自注意力机制+差异化 Dropout正则化集成 |
| STformer[ | 负荷序列趋势- 波动分解 | 稀疏注意力机制+ Dropout正则化 |
| XGBoost+ Informer[ | XGBoost关键 特征选择 | 概率稀疏自注 意力机制 |
| 标准Transformer | 正弦余弦位置 编码+嵌入编码 | 标准自注意力机制 |
| LSTM | / | 经典LSTM结构 |
| 预测模型 | 验证集 | 高温日(6月15日—17日) | 工作日(7月15日—19日) | 周末/节假日(6月29日—30日) | |||||||||||
| MAPE/ % | MAE/ MW | RMSE/ MW | MAPE/ % | MAE/ MW | RMSE/ MW | MAPE/ % | MAE/ MW | RMSE/ MW | MAPE/ % | MAE/ MW | RMSE/ MW | ||||
| Ensemble Transformer | 1.48 | 191.14 | 247.45 | 1.26 | 162.73 | 194.05 | 1.13 | 172.28 | 211.22 | 1.50 | 192.79 | 215.52 | |||
| STformer | 1.60 | 206.48 | 263.42 | 1.35 | 175.03 | 234.21 | 1.10 | 172.42 | 216.88 | 1.69 | 216.84 | 275.79 | |||
| XGBoost+Informer | 1.72 | 221.97 | 284.70 | 1.95 | 253.77 | 308.67 | 1.18 | 183.31 | 229.20 | 1.66 | 216.58 | 283.30 | |||
| Transformer | 1.87 | 243.76 | 298.32 | 1.67 | 217.69 | 276.02 | 1.75 | 265.34 | 328.65 | 1.94 | 245.97 | 302.94 | |||
| LSTM | 2.13 | 274.60 | 366.39 | 1.93 | 248.82 | 306.59 | 1.84 | 279.78 | 336.18 | 2.05 | 262.20 | 324.33 | |||
Table 2 Prediction errors of daily loads under three typical scenarios
| 预测模型 | 验证集 | 高温日(6月15日—17日) | 工作日(7月15日—19日) | 周末/节假日(6月29日—30日) | |||||||||||
| MAPE/ % | MAE/ MW | RMSE/ MW | MAPE/ % | MAE/ MW | RMSE/ MW | MAPE/ % | MAE/ MW | RMSE/ MW | MAPE/ % | MAE/ MW | RMSE/ MW | ||||
| Ensemble Transformer | 1.48 | 191.14 | 247.45 | 1.26 | 162.73 | 194.05 | 1.13 | 172.28 | 211.22 | 1.50 | 192.79 | 215.52 | |||
| STformer | 1.60 | 206.48 | 263.42 | 1.35 | 175.03 | 234.21 | 1.10 | 172.42 | 216.88 | 1.69 | 216.84 | 275.79 | |||
| XGBoost+Informer | 1.72 | 221.97 | 284.70 | 1.95 | 253.77 | 308.67 | 1.18 | 183.31 | 229.20 | 1.66 | 216.58 | 283.30 | |||
| Transformer | 1.87 | 243.76 | 298.32 | 1.67 | 217.69 | 276.02 | 1.75 | 265.34 | 328.65 | 1.94 | 245.97 | 302.94 | |||
| LSTM | 2.13 | 274.60 | 366.39 | 1.93 | 248.82 | 306.59 | 1.84 | 279.78 | 336.18 | 2.05 | 262.20 | 324.33 | |||
| 负荷 范围 | 预测模型 | 高温日(6月15日—17日) | 工作日(7月15日—19日) | 周末/节假日(6月29日—30日) | ||||||||
| MAPE/% | MAE/MW | RMSE/MW | MAPE/% | MAE/MW | RMSE/MW | MAPE/% | MAE/MW | RMSE/MW | ||||
| 峰荷 | Ensemble Transformer | 1.25 | 167.92 | 205.21 | 1.27 | 211.66 | 257.93 | 1.94 | 261.35 | 276.08 | ||
| STformer | 1.29 | 172.12 | 247.30 | 1.21 | 202.42 | 248.52 | 2.21 | 295.89 | 382.25 | |||
| XGBoost+Informer | 1.89 | 253.82 | 315.74 | 1.38 | 232.16 | 267.08 | 2.87 | 385.11 | 437.36 | |||
| Transformer | 1.67 | 226.16 | 281.75 | 1.39 | 231.86 | 291.16 | 1.97 | 266.52 | 321.05 | |||
| LSTM | 1.80 | 239.74 | 308.34 | 1.70 | 285.68 | 336.12 | 1.99 | 267.98 | 286.60 | |||
| 谷荷 | Ensemble Transformer | 1.38 | 169.41 | 188.50 | 1.21 | 163.38 | 198.08 | 1.47 | 173.19 | 191.56 | ||
| STformer | 1.49 | 183.48 | 231.71 | 0.94 | 129.14 | 161.79 | 1.73 | 204.81 | 219.36 | |||
Table 3 Prediction accuracy of peak and valley loads under three typical scenarios
| 负荷 范围 | 预测模型 | 高温日(6月15日—17日) | 工作日(7月15日—19日) | 周末/节假日(6月29日—30日) | ||||||||
| MAPE/% | MAE/MW | RMSE/MW | MAPE/% | MAE/MW | RMSE/MW | MAPE/% | MAE/MW | RMSE/MW | ||||
| 峰荷 | Ensemble Transformer | 1.25 | 167.92 | 205.21 | 1.27 | 211.66 | 257.93 | 1.94 | 261.35 | 276.08 | ||
| STformer | 1.29 | 172.12 | 247.30 | 1.21 | 202.42 | 248.52 | 2.21 | 295.89 | 382.25 | |||
| XGBoost+Informer | 1.89 | 253.82 | 315.74 | 1.38 | 232.16 | 267.08 | 2.87 | 385.11 | 437.36 | |||
| Transformer | 1.67 | 226.16 | 281.75 | 1.39 | 231.86 | 291.16 | 1.97 | 266.52 | 321.05 | |||
| LSTM | 1.80 | 239.74 | 308.34 | 1.70 | 285.68 | 336.12 | 1.99 | 267.98 | 286.60 | |||
| 谷荷 | Ensemble Transformer | 1.38 | 169.41 | 188.50 | 1.21 | 163.38 | 198.08 | 1.47 | 173.19 | 191.56 | ||
| STformer | 1.49 | 183.48 | 231.71 | 0.94 | 129.14 | 161.79 | 1.73 | 204.81 | 219.36 | |||
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