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Exploring probabilistic time series methods for electricity demand forecasting

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Electricity Demand Forecasting

This project focuses on comparing multiple forecasting models to predict electricity demand, aiming to improve:

  • Backup power planning
  • Energy storage management
  • Grid stability

Accurate forecasts are crucial for optimizing intermittent renewable sources like wind and solar and supporting energy market decisions.

Dataset

Methods

  1. Parametric Models:
    • ARIMA/SARIMA (univariate)
    • ARIMAX/SARIMAX (multivariate with exogenous variables like weather)
  2. Non-Parametric Models:
    • Gaussian Processes (Bayesian approach)

Results

Model Forecast Performance (Test Data) Model Fit (Training Data)
MAPE(%) ↓ RMSE(kWh) ↓ Log-Likelihood ↑ AIC ↓
ARIMA(1, 0, 0) 8.420 0.0224 2119 -4232
Auto ARIMA(2, 1, 1) 16.41 0.0443 2136 -4263
Auto SARIMA(1, 1, 1)(2, 0, 2, 7) 10.31 0.0285 2227 -4509
SARIMA(1, 1, 1)(2, 0, 2, 7) + Fourier for yearly variation 21.27 0.0572 2248 -4479
SARIMA(1, 1, 1)(2, 0, 2, 7) + Weather 4.870 0.0134 2311 -4605
Final Tuned SARIMA(1, 1, 2)(0, 1, 2, 7) + Weather 2.900 0.0083 2304 -4588
GP (RBF & weekly periodic kernel) 9.270 0.0005 43 -73
GP (RBF & weekly + annual periodic kernel) 5.860 0.0002 67 -116

Fine-tuned SARIMAX with Weather Data Forecast Plot

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