Robust Stability Analysis of DC Microgrids

Authors

Keywords:

DC microgrids, robust stability, droop control, μ-analysis, modeling, Buck–R2P2, constant power load

Abstract

Direct current (DC) microgrids integrate renewable energy sources, energy storage systems, and electronic loads in order to improve efficiency and flexibility in energy management. However, their stability can be compromised by dynamic interactions among subsystems under different operating conditions, particularly in the presence of constant power loads (CPLs). This paper proposes a robust stability analysis based on the $\mu$-analysis framework. The main contribution is a systematic and reproducible $\mu$-analysis procedure that quantifies robust stability margins under simultaneous load uncertainties applied to DC microgrids. To demonstrate its applicability, a microgrid architecture composed of a high-order Quadratic Buck converter with reduced redundant power processing interacting with a conventional Boost converter is analyzed. Validation is carried out using switched models implemented in the PowerSim simulator under time-varying load conditions. In addition, Monte Carlo simulations are performed by sampling the load parameters to evaluate robustness under simultaneous load uncertainties. The results confirm the effectiveness of the proposed methodology for validating time-domain behavior and assessing robust stability in DC microgrids with CPLs.

Downloads

Download data is not yet available.

Author Biographies

Saúl Rolando Méndez Elizondo, Universidad Autonoma de San Luis Potosi

Saúl Méndez received the degree of Biomedical Engineer and the degree of Master in Electrical Engineering from the Universidad Autonoma de San Luis Potosi, San Luis Potosi, Mexico, in 2017 and 2020, respectively. He is currently a PhD. student in Electrical Engineering at the Autonomous University of San Luis Potosí.His main areas of interest are DC/DC converters, study of stability in DC microgrids, energy storage and controller design for power electronic systems.

Jorge Morales Saldaña, Universidad Autonoma de San Luis Potosi

Jorge Alberto Morales Saldana received the degree of Electrical Engineer and the degrees of Master and Ph.D. degrees in Electrical Engineering from the Universidad Autónoma de San Luis Potosi, San Luis Potosí, Mexico, in 1995, 1997 and 1999, respectively. He currently works at the Faculty of Engineering of the same University as a Research Professor. His main areas of interest are the development of high-efficiency switching converters, DC/DC conversion systems, resonant converters, dynamic analysis of DC power systems, robust analysis, and control engineering applied to power electronic systems.

Ivan Alfonso Reyes Portillo, Universidad Autónoma de Zacatecas

Iván Alfonso Reyes-Portillo received the degree of Electromechanical Engineer from the Instituto Tecnológico Superior de San Andrés Tuxtla, San Andrés Tuxtla, Veracruz, México in 2016 and the degree of Master of Science in Electronic Engineering from the Centro Nacional de Investigacion y Desarrollo Tecnológico, Cuernavaca, Morelos, México in 2019. Obtained a Ph.D. in Electrical Engineering from the Universidad Autónoma de San Luis Potosí, San Luis Potosí, México, in 2024. He is currently a professor at the Universidad Politecnica de San Luis Potosí, in the Academy of Industrial Systems and Technologies Engineering, and an associate researcher at the Universidad Autónoma de Zacatecas. His main areas of interest are DC/DC converters, redundant power processing converters, energy storage, and renewable energies.

References

F. S. Al-Ismail, “DC microgrid planning, operation, and control: A

comprehensive review,” IEEE Access, vol. 9, pp. 36154–36172, 2021,

doi: 10.1109/ACCESS.2021.3062840.

I. A. . Reyes-Portillo, S. . R. M´endez-Elizondo, J. A. . Morales-Salda˜na,

J. U. . Mu˜noz-Minjares, C. A. . Rivera-Romero, and D. L. Castro-L´opez,

“Analysis and Modeling of a Boost Converter with Power Processing

Reduction for PV Applications”, IEEE LAT AM T, vol. 24, no. 4, pp.

–421, Mar. 2026.

S. Punitha, N. P. Subramaniam, and P. A. D. Vimal Raj, “A comprehensive

review of microgrid challenges in architectures, mitigation approaches,

and future directions,” Journal of Electrical Systems and Information

Technology, vol. 11, no. 1, p. 60, 2024, doi: 10.1186/s43067-024-00188-4.

M. Uddin, H. Mo, D. Dong, S. Elsawah, J. Zhu, and J. M. Guerrero, “Mi-

crogrids: A review, outstanding issues and future trends,” Energy Strategy

Reviews, vol. 49, p. 101127, 2023, doi: 10.1016/j.esr.2023.101127.

A. W. Adegboyega, S. Sepasi, H. O. R. Howlader, B. Griswold, M. Mat-

suura, and L. R. Roose, “DC microgrid deployments and challenges:

A comprehensive review of academic and corporate implementations,”

Energies, vol. 18, no. 5, p. 1064, 2025, doi: 10.3390/en18051064.

E. Hossain, R. Perez, A. Nasiri, and S. Padmanaban, “A comprehensive

review on constant power loads compensation techniques,” IEEE Access,

vol. 6, pp. 33285–33305, 2018, doi: 10.1109/ACCESS.2018.2849065.

M. Anees, H. Tu and S. Lukic, ”Stability Considerations for Virtual

Capacitor Control in Constant Power DC Loads,” in IEEE Transactions

on Power Electronics, vol. 40, no. 4, pp. 4734-4739, April 2025, doi:

1109/TPEL.2024.3518478.

J. Liu, W. Zhang and G. Rizzoni, ”Robust Stability Analysis of DC

Microgrids With Constant Power Loads,” in IEEE Transactions on Power

Systems, vol. 33, no. 1, pp. 851-860, Jan. 2018, doi: 10.1109/TP-

WRS.2017.2697765.

A. Franc´es, R. Asensi, ´O. Garc´ıa, R. Prieto, and J. Uceda, “Modeling

electronic power converters in smart DC microgrids—An overview,” IEEE

Transactions on Smart Grid, vol. 9, no. 6, pp. 6274–6287, 2018, doi:

1109/TSG.2017.2707345.

D. Esp´ın-Sarzosa, R. Palma-Behnke, C. A. Ca˜nizares, U. Annakk-

age, M. Elizondo, E. Espina, W. Du, M. Kabalan, L. Meegahap-

ola, P. A. Mendoza-Araya, E. Nasr, A. Pavani, R. Ramos, M. Ropp,

K. P. Schneider, J. W. Simpson-Porco, K. Strunz, G. Taranto, F. Tuffner,

and J. T. Reilly, “Microgrid modeling for stability analysis,” IEEE

Transactions on Smart Grid, vol. 15, no. 3, pp. 2459–2479, 2024, doi:

1109/TSG.2023.3326063.

R. Krishan and Y. Rohith, “Load and generation converters control

strategy to enhance the constant power load stability margin in a

DC microgrid,” IEEE Access, vol. 12, pp. 35972–35983, 2024, doi:

1109/ACCESS.2024.3370673.

Q. Ma, Q. Zhang, J. Fang, and X. Liu, “Bus-impedance-based stability

improvement of DC power distribution system considering dynamic per-

formance,” International Journal of Electrical Power & Energy Systems,

vol. 155, pt. B, Art. no. 109587, 2024, doi: 10.1016/j.ijepes.2023.109587.

M. Leng, G. Zhou, H. Li, G. Xu, F. Blaabjerg, and T. Dragiˇcevi´c,

“Impedance-based stability evaluation for multibus DC microgrid without

constraints on subsystems,” IEEE Transactions on Power Electronics,

vol. 37, no. 1, pp. 932–943, 2022, doi: 10.1109/TPEL.2021.3093372.

M. Su, Z. Liu, Y. Sun, H. Han, and X. Hou, “Stability analysis and

stabilization methods of DC microgrid with multiple parallel-connected

DC–DC converters loaded by CPLs,” IEEE Transactions on Smart Grid,

vol. 9, no. 1, pp. 132–142, 2018, doi: 10.1109/TSG.2016.2546551.

M. Carnaghi, P. Cervellini, M. Judewicz, R. Garcia Retegui and M.

Funes, ”Stability analysis of a Networking DC microgrid with distributed

droop control and CPLs,” in IEEE Latin America Transactions, vol. 21,

no. 9, pp. 966-975, Sept. 2023, doi: 10.1109/TLA.2023.10251802.

W. Xie, M. Han, W. Cao, J. M. Guerrero and J. C. Vasquez, ”System-

Level Large-Signal Stability Analysis of Droop-Controlled DC Micro-

grids,” in IEEE Transactions on Power Electronics, vol. 36, no. 4, pp.

-4236, April 2021, doi: 10.1109/TPEL.2020.3019311.

Z. Zhang, X. Yang, S. Zhao, D. Wu, J. Cao, M. Gao, G. Zeng,

and Z. Wang, “Large-signal stability analysis of islanded DC micro-

grids with multiple types of loads,” International Journal of Electrical

Power & Energy Systems, vol. 143, Art. no. 108450, Dec. 2022, doi:

1016/j.ijepes.2022.108450.

L. Ding and C. K. Tse, “Large-signal stability analysis of DC distri-

bution systems with cascading converter structure,” IEEE Transactions

on Industrial Electronics, vol. 70, no. 9, pp. 9103–9111, 2023, doi:

1109/TIE.2022.3206692.

S. Sumsurooah, M. Odavic, S. Bozhko, and D. Boroyevich, “Robust

stability analysis of a DC/DC buck converter under multiple parametric

uncertainties,” IEEE Transactions on Power Electronics, vol. 33, no. 6,

pp. 5426–5441, 2018, doi: 10.1109/TPEL.2017.2736023.

M. Mirjafari, M. Banejad, H. Molla-Ahmadian, A. Sedehi, and F. Blaab-

jerg, “Robust stability analysis of a novel droop-based distributed con-

trol scheme for islanded operation of DC microgrids,” IET Renew-

able Power Generation, vol. 16, no. 15, pp. 3325–3338, 2022, doi:

1049/rpg2.12585.

S. M´endez-Elizondo, J. Morales-Salda˜na, I. Reyes-Portillo, R. Pe˜na-

Gallardo, and E. Netzahuatl-Huerta, “Robustness study of a DC nanogrid

based on a distributed generation system,” in Proc. 2020 IEEE Interna-

tional Autumn Meeting on Power, Electronics and Computing (ROPEC),

, pp. 1–6, doi: 10.1109/ROPEC50909.2020.9258740.

Z. Liu and J. Li, ”Robust Stability of DC Microgrid Under Dis-

tributed Control,” in IEEE Access, vol. 10, pp. 97888-97896, 2022, doi:

1109/ACCESS.2022.3205615.

E. Moradi-Khaligh, S. Karimi, and M. S. Sadabadi, “Robust LMI-

based voltage control strategy for DC microgrids under disturbances and

constant power load uncertainties,” Electric Power Systems Research,

vol. 241, Art. no. 111333, 2025, doi: 10.1016/j.epsr.2024.111333.

I. A. Reyes-Portillo, S. R. M´endez-Elizondo, J. A. Morales-Salda˜na,

C. A. Rivera-Romero, and D. L. Castro-L´opez, “Design of a trans-

formerless DC regulator with reduced redundant power processing for

a residential DC microgrid,” IEEE Latin America Transactions, vol. 23,

no. 5, pp. 427–436, 2025, doi: 10.1109/TLA.2025.10974364.

S. R. M´endez-Elizondo, J. A. Morales-Salda˜na, I. A. Reyes-Portillo

and R. Pe˜na-Gallardo, ”Controllability Analysis of a Quadratic Buck

Converter with Redundant Power Processing,” 2023 IEEE International

Autumn Meeting on Power, Electronics and Computing (ROPEC), Ixtapa,

Mexico, 2023, pp. 1-6, doi: 10.1109/ROPEC58757.2023.10409481.

K. Zhou and J. C. Doyle, Essentials of Robust Control. Upper Saddle

River, NJ, USA: Prentice Hall, 1998, vol. 104, doi: 10.1016/S0005-

(01)00272-2.

Published

2026-06-12

How to Cite

Méndez Elizondo, S. R., Morales Saldaña, J. ., & Reyes Portillo, I. A. (2026). Robust Stability Analysis of DC Microgrids. IEEE Latin America Transactions, 24(8), 836–845. Retrieved from https://latamt.ieeer9.org/index.php/transactions/article/view/10458

Issue

Section

Electronics