Reliable Grid Forecasting: State Space Models for Safety-Critical Energy Systems
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Abstract (arXiv)
Accurate grid load forecasting is safety-critical: under-predictions risk supply shortfalls, while symmetric error metrics can mask this operational asymmetry. We introduce an operator-legible evaluation framework -- Under-Prediction Rate (UPR), tail Reserve99.5% requirements, and explicit inflation diagnostics (Bias24h/OPR) -- to quantify one-sided reliability risk beyond MAPE. Using this framework, we evaluate five neural architectures -- two state space models (S-Mamba, PowerMamba), two Transformers (iTransformer, PatchTST), an LSTM, and a probabilistic SSM variant (Mamba-ProbTSF) -- on a weather-aligned California Independent System Operator (CAISO) dataset spanning Nov 2023--Nov 2025 (84,498 hourly records across 5 regional transmission areas) under a rolling-origin walk-forward backtest. We develop and evaluate thermal-lag-aligned weather fusion strategies matched to each architecture's inductive bias. Our results demonstrate that standard accuracy metrics are insufficient proxies for operational safety: models with comparable MAPE can imply materially different tail reserve requirements (Reserve99.5%). We show that explicit weather integration narrows error distributions, with the magnitude of improvement being architecturally determined -- iTransformer's cross-variate attention benefits significantly more than PatchTST's channel-independent design. Crucially, we identify a widespread susceptibility to "fake safety" in risk-averse forecasting: while probabilistic calibration reduces upper-tail errors, it achieves this by systematically inflating schedules (e.g., increasing bias by over 1,700 MW in severe cases) if left unconstrained. To solve this, we introduce Bias/OPR-constrained objectives that enable auditable trade-offs between minimizing tail risk and preventing trivial over-forecasting.
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References · 15
- 2017Attention Is All You Needcited by 59,932
- 2023Mamba: Linear-Time Sequence Modeling with Selective State Spacescited by 4,616
- 2021Efficiently Modeling Long Sequences with Structured State Spacescited by 2,424
- 2022A Time Series is Worth 64 Words: Long-term Forecasting with Transformerscited by 1,981
- 2022Are Transformers Effective for Time Series Forecasting?cited by 1,400
- 2023iTransformer: Inverted Transformers Are Effective for Time Series Forecastingcited by 906
- 2024Chronos: Learning the Language of Time Seriescited by 712
- 2023A decoder-only foundation model for time-series forecastingcited by 650
- 2024Is Mamba Effective for Time Series Forecasting?cited by 110
- 2018Review of Smart Meter Data Analytics: Applications, Methodologies, and Challengescited by 47
- 2018Short-term Load Forecasting with Deep Residual Networkscited by 22
- 2023Toward Value-oriented Renewable Energy Forecasting: An Iterative Learning Approachcited by 7
3 more
- 2024Short-Term Electricity-Load Forecasting by Deep Learning: A Comprehensive Surveycited by 6
- 2021End-to-End Demand Response Model Identification and Baseline Estimation with Deep Learningcited by 3
- 2024PowerMamba: A Deep State Space Model and Comprehensive Benchmark for Time Series Prediction in Electric Power Systemscited by 3
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- 2023Last layer state space model for representation learning and uncertainty quantification
- 2023Neural State-Space Models: Empirical Evaluation of Uncertainty Quantification
- 2025Mamba time series forecasting with uncertainty quantification
- 2026Physics-Informed State Space Models for Reliable Solar Irradiance Forecasting in Off-Grid Systems
- 2025External Data-Enhanced Meta-Representation for Adaptive Probabilistic Load Forecasting
- 2026Systematic Evaluation of TabPFN-TS and Chronos-2 for Zero-Shot Heat Load Forecasting in District Heating Networks