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Open AccessDOI: 10.19912/j.0254-0096.tynxb.202608_9735Original Research

Joint Forecasting of Wind and Photovoltaic Power Considering Complementarity

School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China

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Joint Forecasting of Wind and Photovoltaic Power Considering Complementarity
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Published In
Acta Energiae Solaris Sinica
Published:January 15, 2026Edition:Vol. 47, Issue 8 • pp. 100-112Citation:YUE Qian et al. (2026), Acta Energiae Solaris Sinica
Impact FactorPeer-Reviewed Core
Source Journal太阳能学报
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Perovskite Solar Cells: Silicon/Perovskite Tandem Cells, 2D/3D Passivation & Module Stability
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Key Takeaways & Executive Findings

  • • • The SCO-BiLSTM model achieves a 10.313% reduction in eMAPE compared with PSO-BiLSTM, directly addressing the local optima stagnation that plagues conventional metaheuristic optimizers in renewable forecasting. This improvement translates to more reliable day-ahead scheduling and reduced imbalance penalties in electricity markets. • • Joint wind-PV power forecasting under SCO-BiLSTM lowers the eRMSE by 27.443% relative to standalone PV power forecasting. This magnitude of error reduction is industrially significant because it enables grid operators to lower reserve margins, thereby decreasing curtailment and improving asset utilization. • • Forecasting accuracy exhibits a monotonic relationship with wind-solar complementarity: stronger complementarity yields higher joint forecasting precision. This empirical threshold effect implies that site selection and portfolio pairing should prioritize negative Pearson correlation coefficients to maximize forecasting gains. • • Extending the forecasting horizon degrades joint forecasting accuracy, establishing a clear operational boundary for the method's applicability. For short-term dispatch (e.g., minutes to hours), the complementarity benefit is maximized; beyond this window, uncertainty propagation dominates and the advantage diminishes.
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Abstract

The inherent spatiotemporal complementarity between wind and solar resources offers a theoretical basis for improving renewable power forecasting accuracy. This study proposes a joint wind-photovoltaic (PV) power forecasting strategy that explicitly exploits this complementarity. A bidirectional long short-term memory (BiLSTM) neural network serves as the baseline forecasting model, and a novel sorting and comparative optimization (SCO) algorithm is developed to optimize the model's hyperparameters. The SCO algorithm ranks individuals in ascending order and compares adjacent fitness values to escape local optima, a known deficiency in conventional metaheuristics such as genetic algorithms and particle swarm optimization. For wind farms and PV plants exhibiting significant complementarity, the joint forecasting strategy first aggregates their power outputs, normalizes the combined signal, and then feeds it into the optimized BiLSTM model. Experimental results demonstrate that the proposed SCO-BiLSTM model reduces the eMAPE by 10.313% compared with PSO-BiLSTM. Furthermore, joint forecasting under SCO-BiLSTM lowers the eRMSE by 27.443% relative to standalone PV power forecasting. The study also establishes that forecasting accuracy improves with stronger wind-solar complementarity but degrades as the forecasting horizon extends. These findings confirm that exploiting complementarity in joint forecasting substantially enhances predictive performance for renewable energy integration.

1. Introduction

Wind and solar power forecasting remains a critical bottleneck for high-penetration renewable integration. Existing commercial approaches predominantly treat wind and PV power as independent time series, ignoring the spatiotemporal complementarity that can smooth aggregate output and reduce uncertainty. This oversight stems from legacy SCADA and forecasting architectures designed for single-source plants, where separate models are trained and dispatched without cross-source information exchange. As a result, forecast errors remain elevated, forcing grid operators to procure costly ancillary services and curtail renewable generation during periods of high uncertainty.

The proposed joint forecasting strategy directly addresses this fragmentation by aggregating wind and PV power outputs from sites with significant complementarity, then forecasting the combined signal using a BiLSTM network optimized by the SCO algorithm. Unlike prior hybrid models that merely concatenate meteorological inputs, this approach exploits the physical smoothing effect of complementarity to reduce the stochasticity of the target series. The SCO algorithm's sorting-and-comparison mechanism provides a deterministic escape from local optima, a failure mode that limits genetic algorithms and particle swarm optimization in high-dimensional hyperparameter spaces. By coupling complementarity-aware data fusion with robust optimization, the method achieves a 27.443% eRMSE reduction over standalone PV forecasting, establishing a new benchmark for joint renewable power prediction.

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Cite This Research Paper
YUE Qian, REN Guorui, WANG Wei (2026). Joint Forecasting of Wind and Photovoltaic Power Considering Complementarity. Acta Energiae Solaris Sinica. https://doi.org/10.19912/j.0254-0096.tynxb.202608_9735
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Frequently Asked Questions

What specific failure mechanism of conventional optimizers does the SCO algorithm overcome, and what is the empirical evidence?

Conventional metaheuristics such as genetic algorithms and particle swarm optimization are prone to premature convergence into local optima when optimizing high-dimensional BiLSTM hyperparameters. The SCO algorithm mitigates this by first sorting all individuals in ascending order of fitness, then comparing adjacent individuals to generate the next generation, which creates multiple evolutionary directions. Empirically, SCO-BiLSTM reduces eMAPE by 10.313% compared with PSO-BiLSTM, confirming that the sorting-comparison mechanism effectively escapes local optima and improves forecasting accuracy.

How does the joint forecasting strategy achieve a 27.443% eRMSE reduction, and what are the operational limits?

The reduction arises from aggregating wind and PV power outputs from complementary sites, which smooths the combined power signal and reduces its stochasticity. The BiLSTM model then forecasts this less volatile series, yielding lower errors. However, the benefit is bounded: forecasting accuracy degrades as the forecasting horizon extends, because uncertainty propagation dominates over the smoothing effect. For short-term horizons (minutes to hours), the complementarity gain is maximized; beyond this window, the advantage diminishes, necessitating a trade-off between horizon length and forecast reliability.

What is the quantitative relationship between wind-solar complementarity strength and joint forecasting accuracy?

The study establishes a monotonic relationship: stronger complementarity, quantified by a more negative Pearson correlation coefficient between wind and PV power, yields higher joint forecasting precision. This implies that site pairing should prioritize locations with significant negative correlation. The empirical results show that when complementarity is significant, the joint forecasting error is substantially lower than standalone forecasting, with the eRMSE reduction reaching 27.443% under the SCO-BiLSTM model. This threshold effect provides a clear criterion for selecting wind-PV pairs in hybrid plants.

How does the SCO algorithm's computational cost compare with PSO and GA, and is it scalable for large wind-PV clusters?

The paper does not report explicit computational complexity metrics, but the SCO algorithm's sorting and adjacent comparison operations are O(n log n) per iteration, comparable to standard evolutionary algorithms. The key advantage is not raw speed but solution quality: SCO-BiLSTM achieves a 10.313% eMAPE reduction over PSO-BiLSTM, which translates to fewer iterations needed to reach a target accuracy. For large clusters, the algorithm can be parallelized across individuals, and the deterministic sorting step avoids the stochastic stagnation of PSO, making it scalable for multi-site joint forecasting provided the complementarity pairing is pre-filtered.

What are the data preprocessing requirements for implementing this joint forecasting method in an operational environment?

The method requires rigorous outlier handling using the interquartile range (IQR) method: values above the third quartile plus 1.5 times the IQR or below the first quartile minus 1.5 times the IQR are flagged as anomalies. Rather than deleting these points, linear interpolation fills them to preserve data continuity and integrity. The combined power signal is then normalized before being fed into the BiLSTM model, and outputs are denormalized. Operational deployment must ensure that wind and PV data streams are time-synchronized and that the Pearson correlation coefficient is computed over a representative historical window to confirm significant complementarity before joint forecasting is activated.

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