Main Article Content
Abstract
The rapid growth of electricity demand in Batam, driven by increasing household and industrial consumption, necessitates accurate long-term energy forecasting. This study aimed to forecast household electricity demand in Batam from 2023 to 2047 using the multilayer perceptron (MLP) artificial neural network (ANN) model. Secondary data from PT PLN Batam (2013-2022), including customer numbers, electricity sales volume, and revenue, were analyzed. A total of 200 MLP models were trained, varying the number of hidden layers and nodes, with algorithms including BACKPROP, RPROP+, RPROP−, SAG, and SLR. The partial autocorrelation function (PACF) was used to determine the number of input layer nodes. The optimal model, using the smallest learning rate (SLR) algorithm with four hidden layers and ten nodes, achieved the best performance with the lowest mean squared error (MSE) of 35.93 and mean absolute percentage error (MAPE) of 0.47%. The projection results show a consistent increase in electricity demand, with a peak forecast of 2,114 GWh by 2047. These findings provide valuable insights for long-term energy planning and policy-making, ensuring adequate electricity supply and infrastructure development in Batam.
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References
- M.A. Saputra, and R. Rachmawati. “Perkembangan kawasan industri dan permukiman di Kota Batam tahun 1997-2007,” J. Bumi Indones., vol. 4, no. 1, pp. 409–417, 2015, Art. no. 222889, 2015.
- I. Saputra, D. Istardi, M. Ansori, C.B. Nugroho, and A. Maskarai. “Kajian proyeksi pemenuhan kebutuhan energi Provinsi Kepulauan Riau,” J. Integr., vol. 11, no. 2, pp. 125–129, Oct. 2019, doi: 10.30871/ji.v11i2.1116.
- N. Azizah, “Peramalan konsumsi beban listrik triple-SARIMA berdasarkan periodik seasonal (S),” B.S. thesis, Dept. Math. Inf. Technol., Institut Teknologi Kalimantan, Balikpapan, Indonesia, 2023.
- R. Saputra, S. Sunardiyo, A. Nugroho, and S. Subiyanto, “Analisis arsitektur jaringan syaraf tiruan-multilayer perceptron untuk efektivitas estimasi beban energi listrik PT. PLN (Persero) UP3 Salatiga,” ELKOMIKA, vol. 11, No. 3, pp. 664–676, Jul. 2023, doi: 10.26760/elkomika.v11i3.664.
- H. Hermansah, D. Rosadi, A. Abdurakhman, and H. Utami, “Automatic time series forecasting using nonlinear autoregressive neural network model with exogenous input,” Bull. Electr. Eng. Inform., vol. 10, no. 5, pp. 2836–2844, Oct. 2021, doi: 10.11591/eei.v10i5.2862.
- R. Saputra, S. Sunardiyo, A. Nugroho, and S. Subiyanto, “Implementasi multilayer perceptron artificial neural network untuk prediksi konsumsi energi listrik PT PLN (Persero) UP3 Salatiga,” Elektrika, vol. 15, no. 2, pp. 60–68, Oct. 2023, doi: 10.26623/elektrika.v15i2.6411.
- M.W. Purnama, S.I. Haryudo, W. Ariwibowo, and U.T. Kartini, “Peramalan kebutuhan energi listrik jangka panjang sektor rumah tangga UID Jawa Timur menggunakan metode analysis time series: Proyeksi tren quadratic dan regresi linear berbasis software Minitab V19,” J. Tek. Elektr., vol. 10, no. 2, pp. 485–495, May 2021, doi: 10.26740/jte.v10n2.p485-495.
- A.S. Caessar, I.M. Nrartha, and R. Rosmaliati, “Perbandingan metode koefisien dengan jaringan syaraf tiruan pada peramalan beban listrik jangka pendek,” Pros. Sem. Nas. Sains Teknol., vol. 6, 2024, pp. 176–183.
- P.A. Nugroho, “Implementasi jaringan syaraf tiruan multi-layer perceptron untuk prediksi penyinaran matahari Kota Bandung,” Komputa, J. Ilm. Komput. Inform., vol. 12, no. 1, pp. 83–90, May 2023, doi: 10.34010/komputa.v12i1.9419.
- A. Fathurrozi, G.D. Kalandro, A.R. Chaidir, S. Prasetyono, and M. Gozali, “Peramalan beban jangka panjang pada Gardu Induk Bangil dengan metode generalized regression neural network,” Techné, J. Ilm. Elektrotek., vol. 23, no. 2, pp. 185–198, Nov. 2024, doi: 10.31358/techne.v23i2.461.
- H. Hermansah, M. Muhajir, and P.C. Rodrigues, “Indonesian inflation forecasting with recurrent neural network long short-term memory (RNN-LSTM),” Enthusiastic, Int. J. Appl. Stat. Data Sci., vol. 4, no. 2, pp. 132–142, Oct. 2024, doi: 10.20885/enthusiastic.vol4.iss2.art5.
- M. Muhajir, H. Hermansah, A.P. Wicaksono, and L.A. Pratiwi, “A new approach for selecting optimal neuron number in input layer of generalized regression neural network model,” Baghdad Sci. J., vol. 22, no. 8, pp. 2738–2751, Aug. 2025, doi: 10.21123/2411-7986.5034.
- R. Yotenka, M. Muhajir, H. Hermansah, and P.C. Rodrigues, “Comparative analysis of activation functions in recurrent neural network: An application to Indonesian inflation forecasting,” Math. Modell. Eng. Probl., vol. 12, no. 3, pp. 754–762, Mar. 2025, doi: 10.18280/mmep.120302.
- H. Hermansah, “Strategy for enhancing GRU-RNN performance through parameter optimization,” Math. J. Modell. Forecast., Vol. 3, No. 1, pp. 16–24, Jun. 2025, doi: 10.24036/mjmf.v3i1.41.
- H. Hermansah, “Hybrid MODWT-ARMA model for Indonesia stock exchange LQ45 index forecasting,” Enthusiastic, Int. J. Appl. Stat. Data Sci., vol. 4, no. 1, pp. 51–57, Apr. 2024, doi: 10.20885/enthusiastic.vol4.iss1.art5
- H. Hermansah and M. Muhajir, “Comparison of accuracy between neural network and regression models in forecasting,” MAP J., vol. 5, no. 1, pp. 61–69, 2023, doi: 10.15548/map.v5i1.5949.
- T.S. Azzahra, J.J. Cerelia, F.A.L. Nugraha, and A.A. Pravitasari, “MRI-based brain tumor classification using inception ResNet V2,” Enthusiastic, Int. J. Appl. Stat. Data Sci, vol. 3, no. 2, pp. 163-175, Oct. 2023, doi: 10.20885/enthusiastic.vol3.iss2.art4.
- S. Makridakis, E. Spiliotis, and V. Assimakopoulos, “The M4 competition: Results, findings, conclusion and way forward,” Int. J. Forecast., vol. 34, no. 4, pp. 802–808, Oct.–Dec. 2018, doi: 10.1016/j.ijforecast.2018.06.001.
- P. Gunoto and S. Sofyan, “Perancangan pembangkit listrik tenaga surya 100 Wp untuk penerangan lampu di ruang selasar Fakultas Teknik Universitas Riau Kepulauan,” Sigma Tek., vol. 3, no. 2, pp. 96–106, Nov. 2020, doi: 10.33373/sigma.v3i2.2754.
- S. Zahara, Y.N. Sukmaningtyas, R.M. Akbar, and M.Z. Abidin, “Pengaruh jumlah hidden layer dan neuron pada model multilayer perceptron untuk prediksi emas,” J. Ilm. ILKOMINFO, vol. 8, no. 2, pp. 269–275, Jul. 2025.
- E. Enung, H. Kasyanto, and R.R. Sari, “Penerapan algoritma multilayer perceptron (MLP) untuk memprediksi debit di Sungai Citarum bagian hulu (Pos Pengukuran Majalaya), Kab. Bandung, Jawa Barat,” Potensi, J. Sipil Politek., vol. 25, no. 1, pp. 1–8, Apr. 2023, doi: 10.35313/potensi.v25i1.4513.
- M. Tanaka, R. Takashima, S. Mori, and T. Oyama, “Special issue on developing sustainable energy and environmental systems in Japan: Energy crisis and challenges,” J. Energy Eng., vol. 143, no. 3, 2017, Art. no. Art. no. F2017001, doi: 10.1061/(ASCE)EY.1943-7897.0000457.
- H.S. Hippert, C.E. Pedreira, and R.C. Souza, “Neural networks for short-term load forecasting: A review and evaluation,” IEEE Trans. Power Syst., vol. 16, no. 1, pp. 44–55, Feb. 2001, doi: 10.1109/59.910780.
- C. Deb, F. Zhang, J. Yang, S.E. Lee, and K.W. Shah, “A review on time series forecasting techniques for building energy consumption,” Renew. Sustain. Energy Rev., vol. 74, pp. 902–924, Jul. 2017, doi: 10.1016/j.rser.2017.02.085.
- H. Hermansah, D. Rosadi, A. Abdurakhman, and H. Utami, “Selection of input variables of nonlinear autoregressive neural network model for time series data forecasting,” Media Stat., vol. 13, no. 2, pp. 116–124, Dec. 2020, doi: 10.14710/medstat.13.2.116-124.
- W. Triyuly, S. Triyadi, and S. Wonorahardjo, “Synergising the thermal behaviour of water bodies within thermal environment of wetland settlements,” Int. J. Energy Environ. Eng., vol. 12, pp. 55–68, 2021, doi: 10.1007/s40095-020-00355-z.
- S. Makridakis, E. Spiliotis, and V. Assimakopoulos. “Statistical and machine learning forecasting methods: Concerns and ways forward,” PloS One, vol. 13, no. 3, 2018, Art. no. e0194889, doi: 10.1371/journal.pone.0194889.
- Y. Rahmawati, and P.C. Taylor, Eds. Empowering Science and Mathematics for Global Competitiveness. Leide, The Nederlands: CRC Press/Balkema, 2019.
- T. Hong and S. Fan, “Probabilistic electric load forecasting: A tutorial review,” Int. J. Forecast., vol. 32, no. 3, pp. 914–938, Jul.–Sep. 2016, doi: 10.1016/j.ijforecast.2015.11.011.
- S. Fan and R.J. Hyndman, “Short-term load forecasting based on a semi-parametric additive model,” IEEE Trans. Power Syst, vol. 27, no. 1, pp. 134–141, Feb. 2012, doi: 10.1109/TPWRS.2011.2162082.
- H. Yu, D. Liu, G. Chen, B. Wan, S. Wang, and B. Yang, “A neural network ensemble method for precision fertilization modeling,” Math. Comput. Modell., vol. 51, no. 11–12, pp. 1375–1382, Jun. 2010, doi: 10.1016/j.mcm.2009.10.028.
References
M.A. Saputra, and R. Rachmawati. “Perkembangan kawasan industri dan permukiman di Kota Batam tahun 1997-2007,” J. Bumi Indones., vol. 4, no. 1, pp. 409–417, 2015, Art. no. 222889, 2015.
I. Saputra, D. Istardi, M. Ansori, C.B. Nugroho, and A. Maskarai. “Kajian proyeksi pemenuhan kebutuhan energi Provinsi Kepulauan Riau,” J. Integr., vol. 11, no. 2, pp. 125–129, Oct. 2019, doi: 10.30871/ji.v11i2.1116.
N. Azizah, “Peramalan konsumsi beban listrik triple-SARIMA berdasarkan periodik seasonal (S),” B.S. thesis, Dept. Math. Inf. Technol., Institut Teknologi Kalimantan, Balikpapan, Indonesia, 2023.
R. Saputra, S. Sunardiyo, A. Nugroho, and S. Subiyanto, “Analisis arsitektur jaringan syaraf tiruan-multilayer perceptron untuk efektivitas estimasi beban energi listrik PT. PLN (Persero) UP3 Salatiga,” ELKOMIKA, vol. 11, No. 3, pp. 664–676, Jul. 2023, doi: 10.26760/elkomika.v11i3.664.
H. Hermansah, D. Rosadi, A. Abdurakhman, and H. Utami, “Automatic time series forecasting using nonlinear autoregressive neural network model with exogenous input,” Bull. Electr. Eng. Inform., vol. 10, no. 5, pp. 2836–2844, Oct. 2021, doi: 10.11591/eei.v10i5.2862.
R. Saputra, S. Sunardiyo, A. Nugroho, and S. Subiyanto, “Implementasi multilayer perceptron artificial neural network untuk prediksi konsumsi energi listrik PT PLN (Persero) UP3 Salatiga,” Elektrika, vol. 15, no. 2, pp. 60–68, Oct. 2023, doi: 10.26623/elektrika.v15i2.6411.
M.W. Purnama, S.I. Haryudo, W. Ariwibowo, and U.T. Kartini, “Peramalan kebutuhan energi listrik jangka panjang sektor rumah tangga UID Jawa Timur menggunakan metode analysis time series: Proyeksi tren quadratic dan regresi linear berbasis software Minitab V19,” J. Tek. Elektr., vol. 10, no. 2, pp. 485–495, May 2021, doi: 10.26740/jte.v10n2.p485-495.
A.S. Caessar, I.M. Nrartha, and R. Rosmaliati, “Perbandingan metode koefisien dengan jaringan syaraf tiruan pada peramalan beban listrik jangka pendek,” Pros. Sem. Nas. Sains Teknol., vol. 6, 2024, pp. 176–183.
P.A. Nugroho, “Implementasi jaringan syaraf tiruan multi-layer perceptron untuk prediksi penyinaran matahari Kota Bandung,” Komputa, J. Ilm. Komput. Inform., vol. 12, no. 1, pp. 83–90, May 2023, doi: 10.34010/komputa.v12i1.9419.
A. Fathurrozi, G.D. Kalandro, A.R. Chaidir, S. Prasetyono, and M. Gozali, “Peramalan beban jangka panjang pada Gardu Induk Bangil dengan metode generalized regression neural network,” Techné, J. Ilm. Elektrotek., vol. 23, no. 2, pp. 185–198, Nov. 2024, doi: 10.31358/techne.v23i2.461.
H. Hermansah, M. Muhajir, and P.C. Rodrigues, “Indonesian inflation forecasting with recurrent neural network long short-term memory (RNN-LSTM),” Enthusiastic, Int. J. Appl. Stat. Data Sci., vol. 4, no. 2, pp. 132–142, Oct. 2024, doi: 10.20885/enthusiastic.vol4.iss2.art5.
M. Muhajir, H. Hermansah, A.P. Wicaksono, and L.A. Pratiwi, “A new approach for selecting optimal neuron number in input layer of generalized regression neural network model,” Baghdad Sci. J., vol. 22, no. 8, pp. 2738–2751, Aug. 2025, doi: 10.21123/2411-7986.5034.
R. Yotenka, M. Muhajir, H. Hermansah, and P.C. Rodrigues, “Comparative analysis of activation functions in recurrent neural network: An application to Indonesian inflation forecasting,” Math. Modell. Eng. Probl., vol. 12, no. 3, pp. 754–762, Mar. 2025, doi: 10.18280/mmep.120302.
H. Hermansah, “Strategy for enhancing GRU-RNN performance through parameter optimization,” Math. J. Modell. Forecast., Vol. 3, No. 1, pp. 16–24, Jun. 2025, doi: 10.24036/mjmf.v3i1.41.
H. Hermansah, “Hybrid MODWT-ARMA model for Indonesia stock exchange LQ45 index forecasting,” Enthusiastic, Int. J. Appl. Stat. Data Sci., vol. 4, no. 1, pp. 51–57, Apr. 2024, doi: 10.20885/enthusiastic.vol4.iss1.art5
H. Hermansah and M. Muhajir, “Comparison of accuracy between neural network and regression models in forecasting,” MAP J., vol. 5, no. 1, pp. 61–69, 2023, doi: 10.15548/map.v5i1.5949.
T.S. Azzahra, J.J. Cerelia, F.A.L. Nugraha, and A.A. Pravitasari, “MRI-based brain tumor classification using inception ResNet V2,” Enthusiastic, Int. J. Appl. Stat. Data Sci, vol. 3, no. 2, pp. 163-175, Oct. 2023, doi: 10.20885/enthusiastic.vol3.iss2.art4.
S. Makridakis, E. Spiliotis, and V. Assimakopoulos, “The M4 competition: Results, findings, conclusion and way forward,” Int. J. Forecast., vol. 34, no. 4, pp. 802–808, Oct.–Dec. 2018, doi: 10.1016/j.ijforecast.2018.06.001.
P. Gunoto and S. Sofyan, “Perancangan pembangkit listrik tenaga surya 100 Wp untuk penerangan lampu di ruang selasar Fakultas Teknik Universitas Riau Kepulauan,” Sigma Tek., vol. 3, no. 2, pp. 96–106, Nov. 2020, doi: 10.33373/sigma.v3i2.2754.
S. Zahara, Y.N. Sukmaningtyas, R.M. Akbar, and M.Z. Abidin, “Pengaruh jumlah hidden layer dan neuron pada model multilayer perceptron untuk prediksi emas,” J. Ilm. ILKOMINFO, vol. 8, no. 2, pp. 269–275, Jul. 2025.
E. Enung, H. Kasyanto, and R.R. Sari, “Penerapan algoritma multilayer perceptron (MLP) untuk memprediksi debit di Sungai Citarum bagian hulu (Pos Pengukuran Majalaya), Kab. Bandung, Jawa Barat,” Potensi, J. Sipil Politek., vol. 25, no. 1, pp. 1–8, Apr. 2023, doi: 10.35313/potensi.v25i1.4513.
M. Tanaka, R. Takashima, S. Mori, and T. Oyama, “Special issue on developing sustainable energy and environmental systems in Japan: Energy crisis and challenges,” J. Energy Eng., vol. 143, no. 3, 2017, Art. no. Art. no. F2017001, doi: 10.1061/(ASCE)EY.1943-7897.0000457.
H.S. Hippert, C.E. Pedreira, and R.C. Souza, “Neural networks for short-term load forecasting: A review and evaluation,” IEEE Trans. Power Syst., vol. 16, no. 1, pp. 44–55, Feb. 2001, doi: 10.1109/59.910780.
C. Deb, F. Zhang, J. Yang, S.E. Lee, and K.W. Shah, “A review on time series forecasting techniques for building energy consumption,” Renew. Sustain. Energy Rev., vol. 74, pp. 902–924, Jul. 2017, doi: 10.1016/j.rser.2017.02.085.
H. Hermansah, D. Rosadi, A. Abdurakhman, and H. Utami, “Selection of input variables of nonlinear autoregressive neural network model for time series data forecasting,” Media Stat., vol. 13, no. 2, pp. 116–124, Dec. 2020, doi: 10.14710/medstat.13.2.116-124.
W. Triyuly, S. Triyadi, and S. Wonorahardjo, “Synergising the thermal behaviour of water bodies within thermal environment of wetland settlements,” Int. J. Energy Environ. Eng., vol. 12, pp. 55–68, 2021, doi: 10.1007/s40095-020-00355-z.
S. Makridakis, E. Spiliotis, and V. Assimakopoulos. “Statistical and machine learning forecasting methods: Concerns and ways forward,” PloS One, vol. 13, no. 3, 2018, Art. no. e0194889, doi: 10.1371/journal.pone.0194889.
Y. Rahmawati, and P.C. Taylor, Eds. Empowering Science and Mathematics for Global Competitiveness. Leide, The Nederlands: CRC Press/Balkema, 2019.
T. Hong and S. Fan, “Probabilistic electric load forecasting: A tutorial review,” Int. J. Forecast., vol. 32, no. 3, pp. 914–938, Jul.–Sep. 2016, doi: 10.1016/j.ijforecast.2015.11.011.
S. Fan and R.J. Hyndman, “Short-term load forecasting based on a semi-parametric additive model,” IEEE Trans. Power Syst, vol. 27, no. 1, pp. 134–141, Feb. 2012, doi: 10.1109/TPWRS.2011.2162082.
H. Yu, D. Liu, G. Chen, B. Wan, S. Wang, and B. Yang, “A neural network ensemble method for precision fertilization modeling,” Math. Comput. Modell., vol. 51, no. 11–12, pp. 1375–1382, Jun. 2010, doi: 10.1016/j.mcm.2009.10.028.
