Identification Method of Dominant Influencing Factors for Power and Energy Balance Based on Time-Series Dimensionality Reduction

JIANG Dianfeng, YAO Yingbei, TAN Zhenfei, YAN Zheng

Electric Power Construction ›› 2026, Vol. 47 ›› Issue (10) : 30-44.

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Electric Power Construction ›› 2026, Vol. 47 ›› Issue (10) : 30-44. DOI: 10.12204/j.issn.1000-7229.2026.10.003
Planning & Construction

Identification Method of Dominant Influencing Factors for Power and Energy Balance Based on Time-Series Dimensionality Reduction

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Abstract

[Objective] With the continuously increasing penetration of volatile renewable energy, the balance mode of the new-type power system exhibits probabilistic characteristics, rendering the traditional fixed-scenario-based power and energy balance analysis inadequate. To improve the representativeness of balance scenarios for actual source-load fluctuations, it is essential to accurately identify the key source-load features that dominate balance conclusions. To this end, this paper proposes a method for identifying the dominant influencing factors of power and energy balance based on time-series dimensionality reduction. [Methods] First, source-load time-series features are defined to implement dimensionality reduction of balance scenarios, addressing the high dimensionality and strong temporal correlation of source-load time-series curves. Then, the multivariate coupling mapping relationship between source-load time-series features and power and energy balance indices is characterized using a data-driven model combined with the Nataf transformation. Next, a global-sensitivity-analysis-based method is proposed to identify the dominant influencing factors of power and energy balance. Finally, a case study is conducted using source-load data of a provincial power grid. [Results] Compared with principal component analysis-based scenario aggregation, the proposed method reduces the calculation error by 27.33% under the Kolmogorov-Smirnov distance metric, which verifies the effectiveness of the proposed method. [Conclusions] The proposed method quantifies the influence of source-load time-series features on power and energy balance indices and enhances the representativeness of typical balance scenarios for source-load fluctuations, thereby providing theoretical and technical support for the balance analysis of renewable energy systems.

Key words

source-load time-series features / power and energy balance / global sensitivity analysis / scenario aggregation / renewable energy system

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JIANG Dianfeng , YAO Yingbei , TAN Zhenfei , et al. Identification Method of Dominant Influencing Factors for Power and Energy Balance Based on Time-Series Dimensionality Reduction[J]. Electric Power Construction. 2026, 47(10): 30-44 https://doi.org/10.12204/j.issn.1000-7229.2026.10.003

附录A

A.1 特征单调耦合性分析

源荷时序特征的单调耦合性分析如下:净负荷总电量随峰值与谷值的升高而升高,呈正相关性;爬坡速率与极值的剧烈程度呈正相关性,表现为与峰值呈正相关性,与谷值呈负相关性;连续爬坡量为多时段功率变化的累积效果,与爬坡速率呈正相关性;爬坡速率与极值点附近的平坦度呈负相关;对于净负荷峰值时段形状系数,峰值和谷值越大,分位点与峰值的相对距离越大,形状系数越小;对于净负荷谷值时段形状系数,峰值和谷值越大,分位点与谷值的相对距离越大,形状系数越大。

对相关系数矩阵中绝对值大于0.3的元素进行分析,与上述结论相吻合。

A.2 特征周期扩展性分析

当特征周期扩展为1个月时,所得结果如下:

设置6个模型的隐藏层参数分别为[30,20,30,30,30,20]。模型的KL散度分别为[0.003 6, 0.023 0, 0.036 9, 0.038 7, 0.007 6, 0.003 3],相对误差分别为[0.008 7, 0.017 8, 0.075 3, 0.001 1, 0.002 9, 0.001 8],验证了平衡分析模型精度。

主导影响因素辨识结果如图A1所示。典型场景聚合结果对比如图A2所示。

图A1 主导影响因素辨识结果(月特征周期)

Fig.A1 Dominant influencing factors identification results (monthly characteristic period)

图A2 典型场景聚合方法对比(月特征周期)

Fig.A2 Comparison of typical scenario clustering methods(monthly characteristic period)

以负荷缺口为例,针对该指标提取典型场景,各指标权重ρj设置为1/6,不考虑人为设置ρj的影响。K-S距离计算结果如下:主导影响因素辨识权重方法K-S距离为0.177;平均权重方法K-S距离为0.309;基于主成分分析加K-means聚类方法K-S距离为0.201。上述结果证明:基于主导影响因素辨识权重的典型场景与聚合前场景的K-S距离相比于平均权重降低了42.72%,相比于主成分分析加K-means聚类方法,K-S距离下降了11.85%。验证了本文方法在特征周期为月度上的有效性。

A.3 主导影响因素机理分析

特征对全网备用缺口的影响效果较为分散,无显著主导因子。各区域源荷波动的时空互补性使得总备用需求受多区域特征共同影响,单一区域特征的影响程度被削减。

系统运行成本的主导影响因素为子区域1净负荷电量(0.219)、子区域3净负荷电量(0.213)。系统运行成本由火电机组能量成本与启停成本构成,主要是火电机组能量成本。子区域1与3负荷需求大,火电机组装机容量高,新能源电量占比低,因此净负荷电量对运行成本影响程度大。

电力供应裕度的主导影响因素为子区域1净负荷电量(0.512)。子区域1为系统的负荷中心,同时火电装机容量最大,子区域1净负荷电量决定了特征周期内子区域1的火电机组开机容量,在所定义的IP表达式中同时反映了Sg,i,t和Li,t的变化,因此影响程度最大。

电量供应裕度主要受子区域1净负荷电量(0.313)及子区域3净负荷电量(0.195)影响。供应裕度从特征周期尺度考量能源总量的充裕性,子区域1、3的负荷需求大,直接影响所定义的IE表达式中的分母部分,因此影响程度大。

A.4 主成分分析加K-means聚类方法

主成分分析(principal component analysis, PCA)加K-means聚类方法实现过程:

1)输入子区域负荷和新能源功率场景数据,将每个场景中的源荷时序曲线顺序拼接为一个向量,最后可得规模为n×(2NT)的场景集矩阵S,并进行归一化。其中,n为场景总数。

2)进行主成分分析。首先进行协方差分解,计算协方差矩阵的特征值和特征向量。计算累积方差贡献率,设定阈值为η。根据主成分得分,保留达到阈值的前r个主成分。

3)在降维后的低维主成分空间进行K-means场景聚类,各主成分权重均为1,迭代寻找K个聚类中心,使得簇内场景到聚类中心的欧氏距离之和最小。寻找簇内场景与聚类中心最近的真实场景作为典型场景。

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Abstract
针对当前含风电电力系统中大规模新能源难以消纳及钢铁企业缺乏参与调度积极性的问题,提出计及钢铁企业参与的含风电系统协同调度策略。分析钢铁企业参与风电消纳的模式,基于电弧炉的调度特性对其进行建模;采用数据驱动方法进行大规模场景生成,分析电弧炉与风电出力的不确定性叠加影响,确定电力系统应对不确定性波动所需的备用容量;基于生成的场景集,提出计及风电出力变化与源荷波动的钢铁企业自适应电价机制,激励其参与需求响应;建立兼顾多方利益的优化调度模型并采用人工蜂群算法求解;通过算例对所提策略进行仿真验证。结果表明,所提方法可以在保证钢铁企业调度积极性的同时提高系统的经济性与风电消纳。
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To address the challenges of large-scale renewable energy consumption in the current wind power integrated power systems and the lack of enthusiasm among steel enterprises to participate in scheduling, a coordinated scheduling strategy of wind power systems considering the participation of steel enterprises was proposed. The participation modes of steel enterprises in wind power consumption were analyzed, and modeling was conducted based on the scheduling characteristics of electric arc furnace. The data-driven method was used to generate large-scale scenarios, analyze the combined effect of uncertainties of electric arc furnace and wind power output, and determine the reserve capacity required by the power system to cope with uncertainty fluctuations. Based on the generated scenario set, an adaptive electricity price mechanism for steel enterprises was proposed, which considered the variation of wind power output and source-load fluctuation to encourage their participation in demand response. An optimal scheduling model considering the interests of multiple stakeholders was established and solved by the artificial bee colony algorithm. Numerical examples were then provided to simulate and verify the proposed method. The results showed that the proposed method could improve the economic efficiency and wind power consumption of the system while ensuring the scheduling enthusiasm of steel enterprises.

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窦翔, 李卓群, 张哲, 等. 基于CNN-BiLSTM-RF-KDE的综合能源系统负荷预测[J]. 综合智慧能源, 2025, 47(9): 60-70.
Abstract
针对综合能源系统负荷预测存在的多源异构数据融合与不确定性量化机制不足问题,利用卷积神经网络(CNN)提取负荷数据局部特征,通过双向长短期记忆网络(BiLSTM)捕捉双向时序依赖,采用随机森林(RF)处理高维非线性关系并借助核密度估计(KDE)量化预测不确定性,从而建立CNN-BiLSTM-RF-KDE混合模型;同时,构建电-热-气多能流耦合模型,分析不同碳价区间对调度策略的影响。算例分析显示:训练集上电、热负荷预测的决定系数分别为0.93,0.96;测试集上电、热负荷预测的决定系数分别为0.79,0.84。预测出的各设备发电、发热量与均值趋势高度吻合,表明运用该模型能够得出更接近准确值的负荷量,以此为基础数据,可以对综合能源系统进行更为可靠的分析与调度。
Dou Xiang, Li Zhuoqun, Zhang Zhe, et al. Load forecasting for integrated energy systems based on CNN-BiLSTM-RF-KDE[J]. Integrated Intelligent Energy, 2025, 47(9): 60-70.

To address the challenges of insufficient multi-source heterogeneous data fusion and uncertainty quantification in load forecasting for integrated energy systems, a hybrid CNN-BiLSTM-RF-KDE model was proposed. The model utilized convolutional neural network(CNN) to extract local features of load data, bidirectional long short-term memory (BiLSTM) to capture bidirectional temporal dependencies, random forest(RF) to handle high-dimensional nonlinear relationships, and kernel density estimation(KDE) to quantify prediction uncertainty. Additionally, an electricity-heat-gas multi-energy flow coupling model was established to analyze the influence of different carbon price intervals on scheduling strategies. Case studies demonstrated that the coefficient of determination( R²) for electrical and heating load forecasting reached 0.93 and 0.96 on the training set, and 0.79 and 0.84 on the test set, respectively. The predicted power generation and heat output of each device closely aligned with the mean trend, indicating that the model provided more accurate load predictions. Based on this data, more reliable analysis and scheduling of integrated energy systems could be achieved.

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吕金炳, 韦鹏飞, 刘亚丽, 等. 考虑新能源出力相关性的电网电压暂降随机预估[J]. 电力建设, 2018, 39(10): 71-81.
Abstract
针对含有风电、光伏及电动汽车充电站的新能源电力系统,提出了一种考虑新能源出力相关性的电网电压暂降随机预估方法。首先构建了故障信息随机模型及新能源出力随机模型,采用拉丁超立方采样(Latin hypercube sampling,LHS)得到故障信息样本,利用皮尔森相关分析法确定同一类型新能源出力的相关系数后,采用Nataf变换及LHS法得到含有相关性的新能源随机出力样本;然后通过故障仿真模拟,得到一系列暂降事件,计算各节点电压暂降指标,预估各节点电压暂降情况;最后以IEEE 30节点为例进行了仿真分析,研究相关系数变化下的新能源出力及不同类型新能源的接入对电网电压暂降的影响。
Lü Jinbing, Wei Pengfei, Liu Yali, et al. Stochastic estimation of voltage sag considering output correlation of renewable energy sources[J]. Electric Power Construction, 2018, 39(10): 71-81.
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Abstract
精准的多元负荷短期预测是综合能源系统调度和运行的基础。综合能源系统中的多种负荷之间存在较强的耦合作用,目前已有的单一负荷预测难以挖掘不同负荷之间复杂的内在联系。对此,提出一种基于多头概率稀疏自注意力模型的多元负荷短期预测方法。首先,采用皮尔逊相关系数分析多元负荷之间的相关性,并提取多元负荷之间的耦合特征;然后,使用改进位置编码的多头概率稀疏自注意力机制学习长序列输入的依赖关系,并且采用多元预测任务的参数软共享机制,通过不同子任务对共享特征的差异化选择,实现多元负荷的联合预测;最后,在亚利桑那州立大学Tempe校区的多元负荷数据集上对所提模型的性能进行验证,结果表明所提预测方法相较于其他预测模型能够有效提高预测精度。
Han Baohui, Lu Lingxia, Bao Zhejing, et al. Short-term forecasting of multienergy loads of integrated energy system based on multihead probabilistic sparse self-attention model[J]. Electric Power Construction, 2024, 45(2): 127-136.

Accurate short-term forecasting of multienergy loads is the basis for the dispatch and operation of integrated energy systems. There is a strong coupling between multiple loads in an integrated energy system, and the existing single load forecasting is challenging to explore the complex internal relationship between multiple loads. Therefore, a short-term forecasting method for multienergy loads based on a multihead probabilistic sparse self-attention (MPSS) model was proposed. First, the Pearson correlation coefficient was used to analyze the correlation between multiple loads, the coupling features between multiple loads were extracted, a multihead probabilistic sparse self-attention mechanism with improved location coding was used to learn the dependencies of long-sequence inputs, and the parameter soft sharing mechanism of multivariate prediction tasks was adopted. The sharing mechanism realizes the joint prediction of multiple loads through a differentiated selection of shared features using different subtasks. Finally, the performance of the proposed model was verified using the multiple-load dataset of the Tempe Campus of Arizona State University. Compared with other forecasting models, the results show that the proposed multivariate load forecasting method can effectively improve forecasting accuracy.

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我国风能、太阳能资源富集地与负荷存在时空错配问题,利用同一区域内风能和太阳能之间的相关性与互补性,采用电-氢协同储能模式,是缓解可再生能源出力对电网不良影响的有效技术路径。使用非参数核密度估计法拟合风、光出力数据的概率分布规律,结合Copula理论生成计及风光时空相关性的时序场景;考虑风、光发电的相关性,进一步建立了电-氢协同储能综合能源系统的经济性日前优化调度模型,并使用自适应模拟退火粒子群优化(ASA-PSO)算法求解。仿真结果表明:相比于基本PSO算法,ASA-PSO算法具有更高的求解速度与精度;电-氢协同储能系统的日前经济优化调度方案节省了约19%的日运行成本,可以避免系统在电价高峰时段大量购入电力并实现了波动性新能源的就地消纳,可为友好型规模化电网的构建提供电-氢柔性匹配方法。
Wang Qianrui, Ruan Jingxin, Wang Yueshe. Economic optimal scheduling of electricity-hydrogen coordinated energy storage system considering spatiotemporal correlation of wind and photovoltaic power outputs[J]. Integrated Intelligent Energy, 2025, 47(12): 34-45.

In China, there is a spatiotemporal mismatch between the areas rich in wind and solar energy resources and the load centers. By leveraging the correlation and complementarity between wind and solar energy within the same region, an electricity-hydrogen coordinated energy storage model was proposed, which was an effective technical approach to mitigate the adverse impact of renewable energy output on the power grid. The probability distribution patterns of wind and photovoltaic power output data were fitted using the nonparametric kernel density estimation method, and time-series scenarios considering the spatiotemporal correlation of wind and photovoltaic power were generated using Copula theory. By considering the correlation between wind and photovoltaic power generation, an economic day-ahead optimal scheduling model for the integrated electricity-hydrogen coordinated energy system was further established, and solved using the adaptive simulated annealing particle swarm optimization (ASA-PSO) algorithm. The simulation results showed that compared to the basic PSO algorithm, the ASA-PSO algorithm demonstrated superior solving speed and accuracy. The economic day-ahead optimal scheduling scheme for the electricity-hydrogen coordinated energy storage system reduced daily operating costs by approximately 19%, avoided large-scale electricity purchases during peak price periods, and enabled local consumption of fluctuating renewable energy. It provides a flexible electricity-hydrogen matching approach for constructing a grid-friendly and large-scale power system.

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Abstract
面对日益严峻的短路电流超标、交直流交互影响、第三道防线难以有效设置等问题,广东等多直流馈入受端电网分区构网需求迫切。为协调分区与系统稳定、网架可靠性等方面的矛盾,支撑区内电力消费增长和大规模清洁能源接入,提出了建设大湾区外环的设想,并对广东电网大湾区外环覆盖范围、分区划分和外环容量选择等关键问题进行了具体论证,形成了基于大湾区外环的柔性直流互联构网方案。经仿真分析,该方案符合安全标准,可提升广东电网容量至预期水平且有效应对了短路电流超标、交直流交互影响突出、第三道防线难以有效设置等问题。
Yang Yan, Jin Chu, Cheng Xin, et al. Flexible DC interconnection scheme based on the outer ring of Guangdong-Hong Kong-Macao greater bay area[J]. Southern Power System Technology, 2021, 15(3): 15-21.

Facing the increasingly severe problems like short circuit current exceeding limit, serious AC-DC interaction and difficulty in setting up the third defensive line, system partition in multi-DC infeed receiving power grids like Guangdong power system is urgently required. In order to solve the contradiction between system partition and system stability and reliability, and support regional power consumption growth and large-scale clean energy access, an idea of building the outer ring of the Guangdong-Hong Kong-Macao Greater Bay Area is proposed. Key issues like coverage of the outer ring of the Bay, partition scheme of Guangdong power grid and capacity selection of the outer ring are specifically discussed. Then the flexible DC interconnection network scheme based on the outer ring of the Guangdong-Hong Kong-Macao Greater Bay Area is formed. Simulation analysis indicate that the scheme could meet the relevant safety standards, the capacity of Guangdong power grid could be increased to the expected level and problems such as short circuit current exceeding standards, serious AC-DC interaction and difficulty in setting up the third defensive line are effectively dealt with.

Footnotes

利益冲突声明(Conflict of Interests): 所有作者声明不存在利益冲突。

作者贡献声明(Authors' Contributions): 姜店丰设计研究方案,实施研究过程;姚颖蓓进行文献调研与整理,设计论文框架,参与撰写论文;谭振飞设计研究思路,提出研究方向;严正修订论文,审核论文。所有作者均阅读并同意了论文终稿内容。

Funding

National Natural Science Foundation of China(52577120)
National Natural Science Foundation of China(U24B6009)
Science and Technology Project of East China Branch of State Grid Corporation of China(SGHD0000GHJS2500090)
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