Published

2026-03-16

Evaluation of the Accuracy of a Component-Based Aggregat-ed Residential Load Model

Evaluación de la precisión de un modelo agregado de carga residencial basado en componentes

DOI:

https://doi.org/10.15446/ing.investig.121139

Keywords:

Aggregation methodology, Coupled Norton Model, Harmonics, Power quality (en)
armónicos, Calidad de Energía, Metodología de agregación, Modelo Norton Acoplado (es)

Authors

La distorsión armónica es una de las perturbaciones electromagnéticas más relevantes en los sistemas eléctricos, tanto por amplia propagación como por los diversos efectos adversos que puede generar, tales como el aumento de las pérdidas de energía, la aceleración del envejecimiento de los equipos y fallas operativas, entre otros. En los últimos años, esta perturbación se ha intensificado debido al aumento de dispositivos basados en electrónica de potencia (DEPs) en las redes eléctricas, especialmente en el sector residencial. Aunque se han propuesto diferentes enfoques de modelamiento para analizar el comportamiento armónico individual de estos dispositivos, los modelos utilizados para representar cargas residenciales agregadas suelen simplificarse y no logran captar con precisión el comportamiento armónico agregado. En este artículo, a partir de mediciones experimentales y estimación de mínimos cuadrados (MCO), se desarrolla el modelo Norton acoplado individual para un conjunto típico de cargas residenciales, con el cual se construye un modelo agregado basado en componentes. La precisión de este modelo agregado se evalúa frente a un modelo agregado basado en mediciones del mismo conjunto de DEPs, mostrando un buen desempeño con errores inferiores al 10% en los elementos de la matriz acoplada en frecuencia (MAF). Estos resultados indican que el modelo propuesto es una alternativa viable y precisa para la representación de cargas residenciales agregadas, y constituye una herramienta de gran valor para estudios de análisis armónico.

Harmonic distortion is one of the most significant electromagnetic disturbances in power systems due to its widespread propagation and well-known adverse effects, including increased energy losses, accelerated equipment aging, and operational failures. In recent years, this disturbance has intensified due to the increasing penetration of power electronic devices (PEDs) in electrical networks, particularly in the residential sector. Although different models have been developed to analyze the individual harmonic behavior of these devices, the models commonly used to represent aggregated residential loads are often simplified and fail to accurately capture their aggregate harmonic behavior. In this paper, based on experimental measurements, Least Squares Estimation (LSE) is used to develop an individual Coupled Norton (CN) model for a typical set of residential loads, which is then used to construct a component-based aggregated model. The accuracy of this aggregated model is evaluated against a measurement-based aggregated model for the same set of PEDs, showing good performance with errors below 10% in the elements of the Frequency Coupling Matrix (FCM). These results indicate that the proposed model is a viable and accurate alternative for representing aggregated residential loads and constitutes a valuable tool for harmonic analysis studies.

References

[1] Instituto Nacional de Estadística y Censos (INDEC), “Encuesta Nacional de Gastos de los Hogares 2017-2018. Uso hogareño de la energía,” Buenos Aires, Dec. 2022.

[2] Federal Statistical Office, “Equipment of households with electrical household appliances and others (Ger-many),” Wiesbaden, 2022.

[3] International Energy Agency (IEA), “Global EV Outlook 2024,” Paris, Apr. 2024. Accessed: May 23, 2025. [Online]. Available: https://www.iea.org/reports/global-ev-outlook-2024

[4] SolarPower Europe, "EU Market Outlook for Solar Power 2023–2027," Dec. 2023. Accessed: May 23, 2025. [Online]. Available: https://www.solarpowereurope.org/insights/market-outlooks/eu-market-outlook-for-solar-power-2023-2027

[5] International Energy Agency (IEA), “Electricity 2024. Analysis and forecast to 2026,” Jan. 2024. Accessed: May 24, 2025. [Online]. Available: https://www.iea.org/reports/electricity-2024

[6] J. Hernandez, A. A. Romero, S. Muller, and J. Meyer, "Harmonic Distortion in Low Voltage Residential Grids Caused by LED Lamps," in 2022 20th International Con-ference on Harmonics & Quality of Power (ICHQP), Naples, Italy, May 2022, pp. 1–6. https://doi.org/10.1109/ICHQP53011.2022.9808589

[7] A. J. Collin et al., “Analysis of Approaches for Modeling the Low Frequency Emission of LED Lamps,” Energies, vol. 13, no. 7, p. 1571, Mar. 2020. https://doi.org/10.3390/en13071571

[8] IEEE Standards Association, “IEEE Std 1559 - 2019. Recommended Practice for Monitoring Electric Power Quality,” IEEE, Jun. 2019, Accessed: May 23, 2025. [Online]. Available: https://www.iea.org/reports/electricity-2024/executive-summary?utm

[9] A. Reis, A. de L. F. Filho, P. H. F. Moraes, J. P. de Lima, M. S. I. Neto, and V. dos Passos, “Time-domain equiva-lent model for harmonic simulations of wind and pho-tovoltaic plants,” Electr. Power Syst. Res., vol. 235, p. 110727, Oct. 2024. https://doi.org/10.1016/j.epsr.2024.110727

[10] S. Müller, J. Meyer, and P. Schegner, “Extended coupled Norton model of modern power‐electronic devices for large‐scale harmonic studies in distribution networks,” IET Power Electron., vol. 13, no. 13, pp. 2706–2714, Oct. 2020. https://doi.org/10.1049/iet-pel.2019.1444

[11] M. Ramzan, A. Othman, and N. R. Watson, “Compari-son of assessment methods for tensors of nonlinear devices,” Electr. Power Syst. Res., vol. 219, p. 109237, Jun. 2023. https://doi.org/10.1016/j.epsr.2023.109237

[12] X. Xie, J. Zhang, Y. Sun, and J. Fan, “A Measurement-Based Dynamic Harmonic Model for Single-Phase Diode Bridge Rectifier-Type Devices,” IEEE Trans. Instrum. Meas., vol. 73, art. 9001313, 2024. https://doi.org/10.1109/TIM.2024.3370782

[13] X. Xu et al., “Evaluation of hybrid harmonic modelling techniques: Case study of harmonic interactions of EVs and CFLs,” in 2016 IEEE PES Innovative Smart Grid Tech-nologies Conference Europe (ISGT-Europe), IEEE, Oct. 2016, pp. 1–6. https://doi.org/10.1109/ISGTEurope.2016.7856296

[14] J. Yadav, K. Vasudevan, J. Meyer, and D. Kumar, “Fre-quency Coupling Matrix Model of a Three-Phase Varia-ble Frequency Drive,” IEEE Trans. Ind. Appl., vol. 58, no. 3, pp. 3652–3663, May 2022. https://doi.org/10.1109/TIA.2022.3156104

[15] J. E. Caicedo, A. A. Romero, H. C. Zini, R. Langella, J. Meyer, and N. R. Watson, “Impact of reference condi-tions on the frequency coupling matrix of a plug-in elec-tric vehicle charger,” in 2018 18th International Confer-ence on Harmonics and Quality of Power (ICHQP), IEEE, May 2018, pp. 1–6. https://doi.org/10.1109/ICHQP.2018.8378898

[16] M. T. Au and J. V. Milanović, “Development of stochastic aggregate harmonic load model based on field meas-urements,” IEEE Trans. Power Del., vol. 22, no. 1, pp. 323–330, Jan. 2007. https://doi.org/10.1109/TPWRD.2006.881455

[17] A. M. Blanco, A. Grevener, S. Müller, J. Meyer, and P. Schegner, “Stochastic harmonic load model of residen-tial users based on measurements,” in 2015 IEEE Eind-hoven PowerTech, Jun. 2015, pp. 1–6. https://doi.org/10.1109/PTC.2015.7232634

[18] P. Rodríguez-Pajarón, E. Caro, A. Hernández, and M. Izzeddine, “A Bottom-up model for simulating residen-tial harmonic injections,” Energy Build., vol. 265, p. 112103, Jun. 2022. https://doi.org/10.1016/j.enbuild.2022.112103

[19] Y. Sun, X. Xie, Q. Wang, L. Zhang, Y. Li, and Z. Jin, “A bottom-up approach to evaluate the harmonics and power of home appliances in residential areas,” Appl. Energy, vol. 259, p. 114207, Feb. 2020. https://doi.org/10.1016/j.apenergy.2019.114207

[20] M. Ishaq and R. Langella, “Aggregated Load Modelling Approach to Study Impact of Heat Pumps Harmonic Distortion on the Low Voltage Distribution Network,” J. Eur. Syst. Autom., vol. 57, no. 5, pp. 1497–1502, Oct. 2024. https://doi.org/10.18280/jesa.570525

[21] A. B. Nassif, J. Yong, and W. Xu, “Measurement-based approach for constructing harmonic models of elec-tronic home appliances,” IET Gener. Transm. Distrib., vol. 4, no. 3, pp. 363–375, 2010. https://doi.org/10.1049/iet-gtd.2009.0240

[22] A. Martínez-Peñaloza and G. Osma-Pinto, “Analysis of the Performance of the Norton Equivalent Model of a Photovoltaic System Under Different Operating Scenar-ios,” Int. Rev. Electr. Eng., vol. 16, no. 4, p. 328, Aug. 2021. https://doi.org/10.15866/iree.v16i4.20278

[23] X. Xu et al., “Aggregate harmonic fingerprint models of PV inverters. part 1: Operation at different powers,” in 2018 18th International Conference on Harmonics and Quality of Power (ICHQP), Ljubljana, Slovenia, May 2018, pp. 1–6. https://doi.org/10.1109/ICHQP.2018.8378824

[24] A. S. Fölting, J. M. A. Myrzik, T. Wiesner, and L. Jender-nalik, “Practical implementation of the coupled Norton approach for nonlinear harmonic models,” in Power Sys-tems Computation Conference, 2014. https://doi.org/10.1109/PSCC.2014.7038372

[25] D. Salles, C. Jiang, W. Xu, W. Freitas, and H. E. Mazin, “Assessing the collective harmonic impact of modern residential loads-part I: Methodology,” IEEE Trans. Power Del., vol. 27, no. 4, pp. 1937–1946, 2012. https://doi.org/10.1109/TPWRD.2012.2207132

How to Cite

APA

Rios Gutierrez, F., Blanco-Castañeda, A., Caicedo, J., Meyer, J. & Romero Quete, A. (2026). Evaluation of the Accuracy of a Component-Based Aggregat-ed Residential Load Model. Ingeniería e Investigación, 46(1), e121139. https://doi.org/10.15446/ing.investig.121139

ACM

[1]
Rios Gutierrez, F., Blanco-Castañeda, A., Caicedo, J., Meyer, J. and Romero Quete, A. 2026. Evaluation of the Accuracy of a Component-Based Aggregat-ed Residential Load Model. Ingeniería e Investigación. 46, 1 (Mar. 2026), e121139. DOI:https://doi.org/10.15446/ing.investig.121139.

ACS

(1)
Rios Gutierrez, F.; Blanco-Castañeda, A.; Caicedo, J.; Meyer, J.; Romero Quete, A. Evaluation of the Accuracy of a Component-Based Aggregat-ed Residential Load Model. Ing. Inv. 2026, 46, e121139.

ABNT

RIOS GUTIERREZ, F.; BLANCO-CASTAÑEDA, A.; CAICEDO, J.; MEYER, J.; ROMERO QUETE, A. Evaluation of the Accuracy of a Component-Based Aggregat-ed Residential Load Model. Ingeniería e Investigación, [S. l.], v. 46, n. 1, p. e121139, 2026. DOI: 10.15446/ing.investig.121139. Disponível em: https://revistas.unal.edu.co/index.php/ingeinv/article/view/121139. Acesso em: 24 mar. 2026.

Chicago

Rios Gutierrez, Fabian, Ana Blanco-Castañeda, Joaquín Caicedo, Jan Meyer, and Andrés Romero Quete. 2026. “Evaluation of the Accuracy of a Component-Based Aggregat-ed Residential Load Model”. Ingeniería E Investigación 46 (1):e121139. https://doi.org/10.15446/ing.investig.121139.

Harvard

Rios Gutierrez, F., Blanco-Castañeda, A., Caicedo, J., Meyer, J. and Romero Quete, A. (2026) “Evaluation of the Accuracy of a Component-Based Aggregat-ed Residential Load Model”, Ingeniería e Investigación, 46(1), p. e121139. doi: 10.15446/ing.investig.121139.

IEEE

[1]
F. Rios Gutierrez, A. Blanco-Castañeda, J. Caicedo, J. Meyer, and A. Romero Quete, “Evaluation of the Accuracy of a Component-Based Aggregat-ed Residential Load Model”, Ing. Inv., vol. 46, no. 1, p. e121139, Mar. 2026.

MLA

Rios Gutierrez, F., A. Blanco-Castañeda, J. Caicedo, J. Meyer, and A. Romero Quete. “Evaluation of the Accuracy of a Component-Based Aggregat-ed Residential Load Model”. Ingeniería e Investigación, vol. 46, no. 1, Mar. 2026, p. e121139, doi:10.15446/ing.investig.121139.

Turabian

Rios Gutierrez, Fabian, Ana Blanco-Castañeda, Joaquín Caicedo, Jan Meyer, and Andrés Romero Quete. “Evaluation of the Accuracy of a Component-Based Aggregat-ed Residential Load Model”. Ingeniería e Investigación 46, no. 1 (March 16, 2026): e121139. Accessed March 24, 2026. https://revistas.unal.edu.co/index.php/ingeinv/article/view/121139.

Vancouver

1.
Rios Gutierrez F, Blanco-Castañeda A, Caicedo J, Meyer J, Romero Quete A. Evaluation of the Accuracy of a Component-Based Aggregat-ed Residential Load Model. Ing. Inv. [Internet]. 2026 Mar. 16 [cited 2026 Mar. 24];46(1):e121139. Available from: https://revistas.unal.edu.co/index.php/ingeinv/article/view/121139

Download Citation

CrossRef Cited-by

CrossRef citations0

Dimensions

PlumX

Article abstract page views

44

Downloads

Download data is not yet available.