Seemingly unrelated time series model for forecasting the peak and short-term electricity demand: Evidence from the Kalman filtered Monte Carlo method
Frank Kofi Owusu,
Peter Amoako-Yirenkyi,
Nana Kena Frempong,
Akoto Yaw Omari-Sasu,
Isaac Adjei Mensah,
Henry Martin,
Adu Sakyi
Affiliations
Frank Kofi Owusu
National Institute for Mathematical Sciences (NIMS), Faculty of Physical and Computation Science, College of Science, KNUST-Kumasi, Ghana
Peter Amoako-Yirenkyi
Department of Mathematics, Faculty of Physical and Computation Science, College of Science, KNUST-Kumasi, Ghana
Nana Kena Frempong
Department of Statistics and Actuarial Science, Faculty of Physical and Computation Science, College of Science, KNUST-Kumasi, Ghana
Akoto Yaw Omari-Sasu
Department of Statistics and Actuarial Science, Faculty of Physical and Computation Science, College of Science, KNUST-Kumasi, Ghana
Isaac Adjei Mensah
National Institute for Mathematical Sciences (NIMS), Faculty of Physical and Computation Science, College of Science, KNUST-Kumasi, Ghana; Department of Statistics and Actuarial Science, Faculty of Physical and Computation Science, College of Science, KNUST-Kumasi, Ghana; Institute of Applied Systems Analysis (IASA), School of Mathematics, Jiangsu University, Zhenjiang 2102013, Jiangsu, PR China; Corresponding author. National Institute for Mathematical Sciences (NIMS), Faculty of Physical and Computation Science, College of Science, KNUST-Kumasi, Ghana.
Henry Martin
Department of Statistics and Actuarial Science, Faculty of Physical and Computation Science, College of Science, KNUST-Kumasi, Ghana; Department of Physics, Faculty of Physical and Computational Science, College of Science, KNUST-Kumasi, Ghana
Adu Sakyi
National Institute for Mathematical Sciences (NIMS), Faculty of Physical and Computation Science, College of Science, KNUST-Kumasi, Ghana; Department of Mathematics, Faculty of Physical and Computation Science, College of Science, KNUST-Kumasi, Ghana
In this extant paper, a multivariate time series model using the seemingly unrelated times series equation (SUTSE) framework is proposed to forecast the peak and short-term electricity demand using time series data from February 2, 2014, to August 2, 2018. Further the Markov Chain Monte Carlo (MCMC) method, Gibbs Sampler, together with the Kalman Filter were applied to the SUTSE model to simulate the variances to predict the next day's peak and electricity demand. Relying on the study results, the running ergodic mean showed the convergence of the MCMC process. Before forecasting the peak and short-term electricity demand, a week's prediction from the 28th to the 2nd of August of 2018 was analyzed and it found that there is a possible decrease in the daily energy over time. Further, the forecast for the next day (August 3, 2018) was about 2187 MW and 44090 MWh for the peak and electricity demands respectively. Finally, the robustness of the SUTSE model was assessed in comparison to the SUTSE model without MCMC. Evidently, SUTSE with the MCMC method had recorded an accuracy of about 96% and 95.8% for Peak demand and daily energy respectively.