Adaptive Virtual Inertia and Voltage Estimation: Enabled Model Predictive Control for Improved Performance in Islanded DC Microgrids

The low inertia of voltage estimation degrades system performance in islanded DC microgrids (DC MGs). To mitigate this issue, we propose an Adaptive Virtual Inertia and Voltage Estimation with Model Predictive Control (AVIE-MPC) approach, which enhances DC MGs performance while ensuring input-to-sta...

Full description

Saved in:
Bibliographic Details
Main Authors: Salisu Abdullahi, Khaled Eltag, Lei Weining, Chen Xiaohu
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/11088110/
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849421299328221184
author Salisu Abdullahi
Khaled Eltag
Lei Weining
Chen Xiaohu
author_facet Salisu Abdullahi
Khaled Eltag
Lei Weining
Chen Xiaohu
author_sort Salisu Abdullahi
collection DOAJ
description The low inertia of voltage estimation degrades system performance in islanded DC microgrids (DC MGs). To mitigate this issue, we propose an Adaptive Virtual Inertia and Voltage Estimation with Model Predictive Control (AVIE-MPC) approach, which enhances DC MGs performance while ensuring input-to-state stability (ISS). First, the voltage-source converter generates a stochastic state-space model of the DC MG. The virtual DC grid voltage is estimated using covariance adaptation in a standard Kalman filter algorithm. State estimation via feedback control stabilizes the voltage. The feedback gain is derived from the dynamic algebraic Riccati equation (DARE). Integral action eliminates estimation errors through DARE-based operations. Second, references to the expected cost function, which plays a crucial role in MPC performance, are determined by virtual DC grid voltage estimation and the integral of the virtual voltage estimation error. During each sample period, measurements of the virtual DC grid voltage and the current at each power converter output are fed into the expected cost function. The cost function ensures equal current sharing among converters. The DC MG state estimation is compared with the switching control input, and the optimal control signals are iteratively sent to converters. Finally, the proposed AVIE-MPC approach is validated through co-simulation in Simulink and real-time testing on an Opal-RT platform. T he ISS property bounds the DC grid voltage estimation error via Lyapunov stability analysis.
format Article
id doaj-art-3c73dc3c284441509e99b372d4ee556d
institution Kabale University
issn 2169-3536
language English
publishDate 2025-01-01
publisher IEEE
record_format Article
series IEEE Access
spelling doaj-art-3c73dc3c284441509e99b372d4ee556d2025-08-20T03:31:30ZengIEEEIEEE Access2169-35362025-01-011313089613090810.1109/ACCESS.2025.359151811088110Adaptive Virtual Inertia and Voltage Estimation: Enabled Model Predictive Control for Improved Performance in Islanded DC MicrogridsSalisu Abdullahi0https://orcid.org/0000-0002-7749-0058Khaled Eltag1Lei Weining2Chen Xiaohu3School of Mechanical and Electrical Engineering, Quanzhou University of Information Engineering, Quanzhou, Fujian, ChinaSchool of Mechanical and Electrical Engineering, Quanzhou University of Information Engineering, Quanzhou, Fujian, ChinaSchool of Mechanical and Electrical Engineering, Quanzhou University of Information Engineering, Quanzhou, Fujian, ChinaSchool of Mechanical and Electrical Engineering, Quanzhou University of Information Engineering, Quanzhou, Fujian, ChinaThe low inertia of voltage estimation degrades system performance in islanded DC microgrids (DC MGs). To mitigate this issue, we propose an Adaptive Virtual Inertia and Voltage Estimation with Model Predictive Control (AVIE-MPC) approach, which enhances DC MGs performance while ensuring input-to-state stability (ISS). First, the voltage-source converter generates a stochastic state-space model of the DC MG. The virtual DC grid voltage is estimated using covariance adaptation in a standard Kalman filter algorithm. State estimation via feedback control stabilizes the voltage. The feedback gain is derived from the dynamic algebraic Riccati equation (DARE). Integral action eliminates estimation errors through DARE-based operations. Second, references to the expected cost function, which plays a crucial role in MPC performance, are determined by virtual DC grid voltage estimation and the integral of the virtual voltage estimation error. During each sample period, measurements of the virtual DC grid voltage and the current at each power converter output are fed into the expected cost function. The cost function ensures equal current sharing among converters. The DC MG state estimation is compared with the switching control input, and the optimal control signals are iteratively sent to converters. Finally, the proposed AVIE-MPC approach is validated through co-simulation in Simulink and real-time testing on an Opal-RT platform. T he ISS property bounds the DC grid voltage estimation error via Lyapunov stability analysis.https://ieeexplore.ieee.org/document/11088110/Adaptive virtual inertiaDC microgridOpal-RT validationKalman filterLyapunov stabilitymodel predictive control
spellingShingle Salisu Abdullahi
Khaled Eltag
Lei Weining
Chen Xiaohu
Adaptive Virtual Inertia and Voltage Estimation: Enabled Model Predictive Control for Improved Performance in Islanded DC Microgrids
IEEE Access
Adaptive virtual inertia
DC microgrid
Opal-RT validation
Kalman filter
Lyapunov stability
model predictive control
title Adaptive Virtual Inertia and Voltage Estimation: Enabled Model Predictive Control for Improved Performance in Islanded DC Microgrids
title_full Adaptive Virtual Inertia and Voltage Estimation: Enabled Model Predictive Control for Improved Performance in Islanded DC Microgrids
title_fullStr Adaptive Virtual Inertia and Voltage Estimation: Enabled Model Predictive Control for Improved Performance in Islanded DC Microgrids
title_full_unstemmed Adaptive Virtual Inertia and Voltage Estimation: Enabled Model Predictive Control for Improved Performance in Islanded DC Microgrids
title_short Adaptive Virtual Inertia and Voltage Estimation: Enabled Model Predictive Control for Improved Performance in Islanded DC Microgrids
title_sort adaptive virtual inertia and voltage estimation enabled model predictive control for improved performance in islanded dc microgrids
topic Adaptive virtual inertia
DC microgrid
Opal-RT validation
Kalman filter
Lyapunov stability
model predictive control
url https://ieeexplore.ieee.org/document/11088110/
work_keys_str_mv AT salisuabdullahi adaptivevirtualinertiaandvoltageestimationenabledmodelpredictivecontrolforimprovedperformanceinislandeddcmicrogrids
AT khaledeltag adaptivevirtualinertiaandvoltageestimationenabledmodelpredictivecontrolforimprovedperformanceinislandeddcmicrogrids
AT leiweining adaptivevirtualinertiaandvoltageestimationenabledmodelpredictivecontrolforimprovedperformanceinislandeddcmicrogrids
AT chenxiaohu adaptivevirtualinertiaandvoltageestimationenabledmodelpredictivecontrolforimprovedperformanceinislandeddcmicrogrids