Journal of Electrical Engineering and Informatics
Vol. 4 No. 1 (2026): Journal of Electrical Engineering and Informatics

Mathematical Modeling of Household Electricity Use Based On Time Variation and Appliance-Use Intensity in Minasa Upa, Makassar, Indonesia

Auliah Rahmah (Universitas Negeri Makassar)
Fitriyanty Dwi Lestary (Universitas Negeri Makassar)
Aldiansyah Nur Alam (Universitas Negeri Makassar)



Article Info

Publish Date
30 Sep 2026

Abstract

This study develops a parsimonious and physically interpretable framework for describing household electricity use by combining appliance operating intensity, dominant temporal-use patterns, and an empirical consumption model. A quantitative survey was conducted among 93 households. Descriptive analysis characterized appliance operating intensity and dominant use periods, while the primary empirical model used 37 observations with explicitly recorded monthly electricity consumption in kWh. Candidate models were assessed using residual diagnostics, heteroskedasticity and normality tests, multicollinearity assessment, and five-fold cross-validation. The selected model was ln(E) = -5,3721 + 1,5946 ln(D), where E is monthly electricity consumption and D is installed power. The regression explained 57,23% of variance on the logarithmic scale (adjusted R² = 0,560). After smearing correction and back-transformation, the observed–predicted R² was approximately 0,679. The model showed no statistical evidence of heteroskedasticity (Breusch-Pagan p = 0,960) or non-normal residuals (Jarque-Bera p = 0,935), with VIF = 1,00. Five-fold cross-validation produced R² = 0,560, MAE = 195,22 kWh, and RMSE = 248,85 kWh. The study contributes a validation-oriented two-layer framework that separates a physical appliance-intensity formulation from an empirical household consumption model. This design preserves interpretability while avoiding unverified reconstruction of kWh from billing values and demonstrates how parsimonious modeling can remain useful when field data are heterogeneous and high-resolution smart-meter records are unavailable.

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Journal Info

Abbrev

JEENI

Publisher

Subject

Computer Science & IT Control & Systems Engineering Electrical & Electronics Engineering Engineering

Description

Journal of Electrical Engineering and Informatics is a scientific journal managed by a peer review process. The Journal of Electrical Engineering and Informatics is published by the Department of Electrical Engineering Education, Universitas Negeri Makassar. The Journal of Electrical Engineering and ...