Load Forecasting for Integrated Energy System Based on Optimized Modal DGRUK Analysis

SI Weizhuang, TUSONGJIANG Kari, GUO Zhiming, ZHANG Ziwei, SUN Tianzhi

Electric Power Construction ›› 2026, Vol. 47 ›› Issue (3) : 51-63.

PDF(7710 KB)
PDF(7710 KB)
Electric Power Construction ›› 2026, Vol. 47 ›› Issue (3) : 51-63. DOI: 10.12204/j.issn.1000-7229.2026.03.005
Planning & Construction

Load Forecasting for Integrated Energy System Based on Optimized Modal DGRUK Analysis

Author information +
History +

Abstract

[Objective] To further explore the potential structure of load sequence data in integrated energy systems (IES) and enhance the overall prediction accuracy and reliability of IES load forecasting models, this paper proposes a novel load forecasting method for IES based on optimized modal decomposition and the DGRUK network. [Methods] Firstly, for the multi-energy load sequence decomposition stage, an improved ivy algorithm is employed to optimize the parameters of the improved complete ensemble empirical mode decomposition. Decomposes cooling, heating, electricity, and other multi-energy load sequences into intrinsic mode function components, thereby reducing the non-stationarity and complex coupling of the original sequences. Secondly, during the feature extraction phase, the discrete cosine transform is integrated into the channel attention mechanism to efficiently capture global correlations among different channels and enhance the representation of key features. Finally, a DGRUK network is constructed by leveraging the advantages of Kolmogorov-Arnold networks in nonlinear mapping. This step compensates for the limitations of traditional fully connected layers in handling complex nonlinear relationships, thereby improving the model's capability to process high-dimensional, non-stationary load data. [Results] The proposed method achieves mean absolute percentage errors (MAPE) of 2.045%, 2.379%, and 1.234% for cooling, heating, and electrical load forecasting, respectively. All error metrics are lower than those of other commonly used methods, verifying the effectiveness of the proposed approach. [Conclusions] The proposed method effectively addresses the issues of non-stationarity and complex coupling in multi-energy load sequences of integrated energy systems. It provides scientific support for the optimal scheduling and operational management of integrated energy systems.

Key words

integrated energy system / load forecasting / modal decomposition / neural network / attention mechanism

Cite this article

Download Citations
SI Weizhuang , TUSONGJIANG Kari , GUO Zhiming , et al . Load Forecasting for Integrated Energy System Based on Optimized Modal DGRUK Analysis[J]. Electric Power Construction. 2026, 47(3): 51-63 https://doi.org/10.12204/j.issn.1000-7229.2026.03.005

References

[1]
朱继忠, 董瀚江, 李盛林, 等. 数据驱动的综合能源系统负荷预测综述[J]. 中国电机工程学报, 2021, 41(23): 7905-7924.
ZHU Jizhong, DONG Hanjiang, LI Shenglin, et al. Review of data-driven load forecasting for integrated energy system[J]. Proceedings of the CSEE, 2021, 41(23): 7905-7924.
[2]
王愈轩, 刘尔佳, 黄永章. 数据驱动下的综合能源系统短期多元负荷预测[J]. 计算机工程与设计, 2022, 43(5): 1435-1442.
WANG Yuxuan, LIU Erjia, HUANG Yongzhang. Data driven short-term multiple load forecasting for integrated energy system[J]. Computer Engineering and Design, 2022, 43(5): 1435-1442.
[3]
初壮, 袁继新. 考虑氨制冷和火电掺氨的综合能源系统优化调度[J]. 电力建设, 2025, 46(8): 92-104.
CHU Zhuang, YUAN Jixin. Optimization and scheduling of comprehensive energy systems considering ammonia refrigeration and ammonia blending in thermal power plants[J]. Electric Power Construction, 2025, 46(8): 92-104.
[4]
罗权. 基于自适应卡尔曼滤波在气象影响下负荷预测[J]. 计算机测量与控制, 2020, 28(1): 156-159, 165.
LUO Quan. Short-term load forecasting under meteorological influence based on adaptive Kalman filter[J]. Computer Measurement & Control, 2020, 28(1): 156-159, 165.
[5]
吴迪, 马文莉, 杨利君. 二次指数平滑多目标组合模型电力负荷预测[J]. 计算机工程与设计, 2023, 44(8): 2541-2547.
WU Di, MA Wenli, YANG Lijun. Power load forecasting with quadratic exponential smoothing multi-objective combination model[J]. Computer Engineering and Design, 2023, 44(8): 2541-2547.
[6]
罗琦, 杨俊华, 黄逸, 等. 基于变分模式分解和向量自回归模型的波浪发电系统输出功率预测[J]. 太阳能学报, 2023, 44(3): 291-297.
Abstract
为准确预测直驱式波浪发电系统的输出功率,提出基于变分模式分解和向量自回归模型预测方案。通过分析原始时间序列的相关性选择预测特征时间,应用变分模式分解方法将所选特征时间序列分解为不同子序列,经过单位根检验及差分运算,建立每个子序列的向量自回归模型,求和重构子序列模型预测结果获得所选特征的预测初值。建立了直驱式波浪发电系统的波能转换模型,仿真结果表明:所提方案模型具备合理性与可行性,模型预测结果稳定,预测精度高,预测趋势准确。
LUO Qi, YANG Junhua, HUANG Yi, et al. Output power prediction of wave power system based on variational model decomposition and vector autoregressive model[J]. Acta Energiae Solaris Sinica, 2023, 44(3): 291-297.
Aiming to accurately predict the output power of direct-drive wave power generation systems, a prediction scheme based on variational pattern decomposition and vector autoregressive model is proposed. The predicted feature time is selected by analysing the correlation of the original time series, and the selected feature time series is decomposed into different sub-series by applying the variational mode decomposition method, which is subjected to unit root test and difference operation to establish a vector autoregressive model for each sub-series. A wave energy conversion model for direct-drive wave power generation system is established. The simulation results show that the proposed scheme model is reasonable and feasible, with stable model prediction results, high prediction accuracy and accurate prediction trends.
[7]
AHSAN F, DANA N H, SARKER S K, et al. Data-driven next-generation smart grid towards sustainable energy evolution: techniques and technology review[J]. Protection and Control of Modern Power Systems, 2023, 8(1): 43.
Meteorological changes urge engineering communities to look for sustainable and clean energy technologies to keep the environment safe by reducing CO2 emissions. The structure of these technologies relies on the deep integration of advanced data-driven techniques which can ensure efficient energy generation, transmission, and distribution. After conducting thorough research for more than a decade, the concept of the smart grid (SG) has emerged, and its practice around the world paves the ways for efficient use of reliable energy technology. However, many developing features evoke keen interest and their improvements can be regarded as the next-generation smart grid (NGSG). Also, to deal with the non-linearity and uncertainty, the emergence of data-driven NGSG technology can become a great initiative to reduce the diverse impact of non-linearity. This paper exhibits the conceptual framework of NGSG by enabling some intelligent technical features to ensure its reliable operation, including intelligent control, agent-based energy conversion, edge computing for energy management, internet of things (IoT) enabled inverter, agent-oriented demand side management, etc. Also, a study on the development of data-driven NGSG is discussed to facilitate the use of emerging data-driven techniques (DDTs) for the sustainable operation of the SG. The prospects of DDTs in the NGSG and their adaptation challenges in real-time are also explored in this paper from various points of view including engineering, technology, et al. Finally, the trends of DDTs towards securing sustainable and clean energy evolution from the NGSG technology in order to keep the environment safe is also studied, while some major future issues are highlighted. This paper can offer extended support for engineers and researchers in the context of data-driven technology and the SG.
[8]
陈振宇, 杨斌, 杨世海, 等. 基于模糊C均值聚类算法的电-热互联综合能源系统负荷预测[J]. 自动化技术与应用, 2021, 40(6): 94-98.
CHEN Zhenyu, YANG Bin, YANG Shihai, et al. Load prediction of power-thermal interconnection integrated energy system based on fuzzy C-means clustering algorithm[J]. Techniques of Automation and Applications, 2021, 40(6): 94-98.
[9]
TAN Z F, DE G, LI M L, et al. Combined electricity-heat-cooling-gas load forecasting model for integrated energy system based on multi-task learning and least square support vector machine[J]. Journal of Cleaner Production, 2020, 248: 119252.
[10]
王瑶, 吴云来, 俞铁铭, 等. 基于特征选择和XGBoost算法考虑极端天文、气象事件影响的光伏性能预测方法[J]. 太阳能学报, 2024, 45(5): 547-555.
WANG Yao, WU Yunlai, YU Tieming, et al. Forecasting method of photovoltaic power generation based on feature selection and XGBoost algorithm considering influence of extreme astronomical and meteorological events[J]. Acta Energiae Solaris Sinica, 2024, 45(5): 547-555.
[11]
张文栋, 刘子琨, 梁涛, 等. 基于CNN-LSTM的综合能源系统负荷预测模型[J]. 重庆邮电大学学报(自然科学版), 2023, 35(2): 254-262.
ZHANG Wendong, LIU Zikun, LIANG Tao, et al. Load prediction model of integrated energy system based on CNN-LSTM[J]. Journal of Chongqing University of Posts and Telecommunications (Natural Science Edition), 2023, 35(2): 254-262.
[12]
白卓, 郭啸, 孙华忠. 基于L-M优化BP算法的多因素协同电力负荷预测[J]. 山东电力技术, 2025, 52(7): 68-75.
BAI Zhuo, GUO Xiao, SUN Huazhong. Multi-factor collaborative power load forecasting based on L-M optimized BP algorithm[J]. Shandong Electric Power, 2025, 52(7): 68-75.
[13]
WANG Y Y, SUN S D, CAI Z Q, et al. Daily peak-valley electric-load forecasting based on an SSA-LSTM-RF algorithm[J]. Energies, 2023, 16(24):7964.
In recent years, with the development of societies and economies, the demand for social electricity has further increased. The efficiency and accuracy of electric-load forecasting is an important guarantee for the safety and reliability of power system operation. With the sparrow search algorithm (SSA), long short-term memory (LSTM), and random forest (RF), this research proposes an SSA-LSTM-RF daily peak-valley forecasting model. First, this research uses the Pearson correlation coefficient and the random forest model to select features. Second, the forecasting model takes the target value, climate characteristics, time series characteristics, and historical trend characteristics as input to the LSTM network to obtain the daily-load peak and valley values. Third, the super parameters of the LSTM network are optimized by the SSA algorithm and the global optimal solution is obtained. Finally, the forecasted peak and valley values are input into the random forest as features to obtain the output of the peak-valley time. The forest value of the SSA-LSTM-RF model is good, and the fitting ability is also good. Through experimental comparison, it can be seen that the electric-load forecasting algorithm based on the SSA-LSTM-RF model has higher forecasting accuracy and provides ideal performance for electric-load forecasting with different time steps.
[14]
闫照康, 马刚, 冯瑞, 等. 基于改进LSTM算法的综合能源系统多元负荷预测[J]. 分布式能源, 2024, 9(2): 30-38.
Abstract
准确预测短期多种能源负荷,是确保综合能源系统可靠、高效运行的必要前提。为此,提出了一种基于遗传粒子群混合优化(genetic algorithm particle swarm optimization, GAPSO)算法的卷积长短期记忆神经网络(convolutional neural network-long short-term memory, CNN-LSTM)综合能源系统多元负荷预测模型。首先,利用皮尔逊系数来描述各影响因素与负荷之间的相关性强弱。其次,采用GAPSO算法对长短期记忆(long short-term memory, LSTM)网络模型进行改进,然后构建卷积神经网络(convolutional neural networks, CNN)以提取小时级高阶特征,并通过改进后的LSTM网络模型对提取的隐含高阶特征进行分位数回归建模,构建了基于GAPSO-CNN-LSTM综合能源系统多元负荷预测模型。最后,以美国亚利桑那州立大学坦佩校区综合能源系统负荷数据为算例进行验证,结果表明:改进后的算法具有更好的收敛能力,模型具有更高的预测精度。
YAN Zhaokang, MA Gang, FENG Rui, et al. Multiple load forecasting of integrated energy system based on improved LSTM algorithm[J]. Distributed Energy, 2024, 9(2): 30-38.

Accurate prediction of short-term multiple energy loads is a prerequisite to ensure the reliable and efficient operation of integrated energy system. For this reason, a convolutional neural network-long short-term memory (CNN-LSTM) model for integrated energy system multivariate load prediction based on genetic algorithm particle swarm optimization (GAPSO) is proposed. Firstly, Pearson's coefficient is used to describe the correlation between the influencing factors and the load. Secondly, GAPSO algorithm is used to improve the LSTM model, and then a one-dimensional CNN is constructed to extract the hourly higher-order features, and the extracted implicit higher-order features are partitioned by the improved long short-term memory (LSTM) modeling. The multivariate load forecasting model based on GAPSO-CNN-LSTM for integrated energy system is constructed through quantile regression modeling. Finally, the load data of integrated energy system of Arizona State University Tempe Campus is used as an example, and the results show that the improved algorithm has a better convergence ability and the model has a higher prediction accuracy.

[15]
谢国民, 陆子俊. 基于优化VMD和BiLSTM的短期负荷预测[J]. 电力系统及其自动化学报, 2025, 37(4): 30-39.
XIE Guomin, LU Zijun. Short-term load forecasting based on optimized VMD and BiLSTM network[J]. Proceedings of the CSU-EPSA, 2025, 37(4): 30-39.
[16]
黄世超, 郭永强, 龙本锦, 等. 基于CEEMDAN的综合能源系统负荷预测研究[J]. 智能计算机与应用, 2023, 13(1): 123-128, 135.
HUANG Shichao, GUO Yongqiang, LONG Benjin, et al. Research on load forecasting of integrated energy system based on CEEMDAN[J]. Intelligent Computer and Applications, 2023, 13(1): 123-128, 135.
[17]
ZHENG G Q, KONG L R, SU Z E, et al. Approach for short-term power load prediction utilizing the ICEEMDAN-LSTM-TCN-bagging model[J]. Journal of Electrical Engineering & Technology, 2025, 20(1): 231-243.
[18]
罗林霖, 王霄, 何志琴, 等. 基于滚动模态分解和GCN-DABiLSTM的综合能源系统多元负荷预测模型[J]. 广东电力, 2025, 38(9): 130-144.
LUO Linlin, WANG Xiao, HE Zhiqin, et al. Multi-load forecasting model for integrated energy system based on rolling mode decomposition and GCN-DABiLSTM[J]. Guangdong Electric Power, 2025, 38(9): 130-144.
[19]
李长云, 杨静雨, 连鸿松, 等. 基于ICEEMDAN-IPSO-ELM的硅油溶解气体浓度组合预测方法[J]. 高电压技术, 2023, 49(9): 3887-3897.
LI Changyun, YANG Jingyu, LIAN Hongsong, et al. Combined prediction method of dissolved gas concentration of silicone oil based on ICEEMDAN-IPSO-ELM[J]. High Voltage Engineering, 2023, 49(9): 3887-3897.
[20]
GHASEMI M, ZARE M, TROJOVSKÝ P, et al. Optimization based on the smart behavior of plants with its engineering applications: Ivy algorithm[J]. Knowledge-Based Systems, 2024, 295: 111850.
[21]
HU J, SHEN L, SUN G. Squeeze-and-excitation networks[C]// 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition. IEEE, 2018: 7132-7141.
[22]
JIANG M W, ZENG P Y, WANG K, et al. FECAM: frequency enhanced channel attention mechanism for time series forecasting[J]. Advanced Engineering Informatics, 2023, 58: 102158.
[23]
刘栋, 郭国栋, 辛蜀骏, 等. 基于KAN的可解释净负荷概率预测方法[J]. 电力系统自动化, 2025, 49(15): 123-132.
LIU Dong, GUO Guodong, XIN Shujun, et al. Probabilistic prediction method for interpretable net load based on Kolmogorov-Arnold network[J]. Automation of Electric Power Systems, 2025, 49(15): 123-132.
[24]
陈景文, 黄羽倩, 刘耀先, 等. 基于复合因子构造的KAN-BiLSTM电力负荷预测方法[J]. 中国电力, 2025, 58(12): 178-189, 198.
CHEN Jingwen, HUANG Yuqian, LIU Yaoxian, et al. A KAN-BiLSTM-based power load forecasting method utilizing composite factor construction[J]. Electric Power, 2025, 58(12): 178-189, 198.
[25]
王悦如, 王盛宇. 基于GRU神经网络的电力负荷预测[J]. 电工技术, 2022(10): 123-125, 129.
WANG Yueru, WANG Shengyu. Power load forecasting based on GRU neural network[J]. Electric Engineering, 2022(10): 123-125, 129.
[26]
Arizona State University. Campus metabolism[EB/OL]. [2025-09-09]. http://cm.asu.edu/.
[27]
孙权, 蒋浩然, 杨洵, 等. 基于趋势项提取与AM-BiLSTM的Boost变换器故障预测方法[J]. 电气工程学报, 2025, 20(2): 165-175.
SUN Quan, JIANG Haoran, YANG Xun, et al. Fault prediction method for boost converter based on trend extraction and AM-BiLSTM[J]. Journal of Electrical Engineering, 2025, 20(2): 165-175.
[28]
张晓佳, 王灿, 张佳恒, 等. 基于多能需求响应与改进BiLSTM的综合能源系统负荷预测[J]. 电力建设, 2025, 46(4): 113-125.
ZHANG Xiaojia, WANG Can, ZHANG Jiaheng, et al. Integrated energy system load forecasting based on multi-energy demand response and improved BiLSTM[J]. Electric Power Construction, 2025, 46(4): 113-125.
[29]
张时聪, 杨芯岩, 韩少锋, 等. 综合能源系统源-荷能量的多时间尺度预测[J]. 分布式能源, 2024, 9(4): 1-10.
Abstract
为应对可再生能源利用和用户负荷的不确定性,提出一种多时间尺度预测方法。预测过程分日前、日内滚动和实时3个阶段进行,时间尺度分别为1 h、15 min和5 min。首先,采用基于差值统计的预测方法完成气象参数的3个阶段预测;其次,在负荷预测的日前和日内阶段,建立了信号分解与机器学习相结合的回归预测模型,实时阶段建立了机器学习时间序列预测模型;接着,以测试集的预测精度指标为依据确定了日前和日内滚动阶段对典型日负荷的最佳预测方法;最后,将预测方法应用于典型日的能量预测,验证了方法的可行性。研究结果显示:3个阶段典型日气象参数预测结果的决定系数R<sup>2</sup>都在0.8以上;在日前和日内滚动阶段,多元负荷的预测任务应采用不同的信号分解方法,实时阶段负荷预测结果的R<sup>2</sup>值均超过0.9,平均绝对误差百分比(mean absolute percentage error, MAPE)接近0。
ZHANG Shicong, YANG Xinyan, HAN Shaofeng, et al. Multi-timescale prediction of source-load energy in integrated energy system[J]. Distributed Energy, 2024, 9(4): 1-10.

In order to cope with the uncertainty of renewable energy utilization and customer loads, a multi-timescale prediction method is proposed, where the prediction process is carried out in three phases: day-ahead, intra-day rolling and real-time, with timescales of 1 h, 15 min and 5 min, respectively. First, a prediction method based on difference statistics is used to accomplish the three stages of forecasting meteorological parameters. Second, a regression prediction model combining signal decomposition and machine learning is established for the day-ahead and intraday stages of load prediction, and a machine learning time series prediction model is established for the real-time stage. Next, the best prediction methods for typical daily loads in the day-ahead and intra-day rolling stages are determined based on the prediction accuracy metrics of the test set. Finally, the prediction method is applied to the energy forecast of typical days to verify the feasibility of the method. The results show that the determination coefficient R2 of the prediction results of the meteorological parameters for a typical day in all three phases is above 0.8; in the day-ahead and intraday rolling phases, the prediction tasks of multivariate loads should be performed with different signal decomposition methods, and the R2 of the load prediction results in the real-time phase is above 0.9, and the mean absolute percentage error (MAPE) is close to 0.

[30]
Australian Energy Market Operator[EB/OL].[2025-09-01]. https://aemo.com.au/.
[31]
顾海艳, 柳琪, 马卓, 等. 基于可用性的数据噪声添加方法研究[J]. 信息网络安全, 2024, 24(11): 1731-1738.
GU Haiyan, LIU Qi, MA Zhuo, et al. Research on data noise addition method based on availability[J]. Netinfo Security, 2024, 24(11): 1731-1738.
[32]
熊芮, 赵林军, 张宇航. 基于灰狼-粒子群算法的有源配电网故障定位[J]. 电力系统及其自动化学报, 2025, 37(5): 141-148, 158.
XIONG Rui, ZHAO Linjun, ZHANG Yuhang. Fault location of active distribution network based on GWO-PSO algorithm[J]. Proceedings of the CSU-EPSA, 2025, 37(5): 141-148, 158.
[33]
胡锐, 乔加飞, 李永华, 等. 基于WOA-VMD-SSA-LSTM的中长期风电预测[J]. 太阳能学报, 2024, 45(9): 549-556.
HU Rui, QIAO Jiafei, LI Yonghua, et al. Medium and long term wind power forecast based on WOA-VMD-SSA-LSTM[J]. Acta Energiae Solaris Sinica, 2024, 45(9): 549-556.
[34]
戴朝辉, 陈昊, 刘莘轶, 等. 基于K-medoids-GBDT-PSO-LSTM组合模型的短期光伏功率预测[J]. 太阳能学报, 2025, 46(1): 654-661.
DAI Chaohui, CHEN Hao, LIU Xinyi, et al. Short-term photovoltaic power prediction based on K-medoids-GBDT-PSO-LSTM combined model[J]. Acta Energiae Solaris Sinica, 2025, 46(1): 654-661.
[35]
MANTEGNA R. Fast, accurate algorithm for numerical simulation of Lévy stable stochastic processes[J]. Physical Review E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1994, 49(5): 4677-4683.

Funding

National Natural Science Foundation of China(52067021)
National Natural Science Foundation of China(52207165)
General Program of Natural Science Foundation of Xinjiang Uygur Autonomous Region(2022D01C35)
PDF(7710 KB)

Accesses

Citation

Detail

Sections
Recommended

/