Development of time-limited model reduction technique for one-dimensional and two-dimensional systems with error bound via balanced structure

M Imran - Journal of the Franklin Institute, 2022 - Elsevier
In this article, the two-dimensional model is decomposed into two one-dimensional models
using the minimal rank-decomposition condition, and the model reduction is conducted on …

Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems

IP Duff, P Kürschner - Linear Algebra and its Applications, 2021 - Elsevier
In this paper, balancing based model order reduction (MOR) for large-scale linear discrete-
time time-invariant systems in prescribed finite time intervals is studied. The first main topic is …

Development of frequency limited model reduction algorithm with error bound and application to continuous-time variable-speed wind turbines for power system

S Bashir, S Batool, M Imran, U Ali - 2020 Australian and New …, 2020 - ieeexplore.ieee.org
The frequency-limited model reduction technique presented by Gawronski & Juang
produces an unstable reduced-order system. To overcome this main drawback, many …

Development of model reduction technique for weighted and limited-intervals gramians for discrete-time systems via balanced structure with error bound

S Batool, M Imran, M Imran, MI Ahmad - International Journal of Dynamics …, 2022 - Springer
Enns's weighted and Gawronski and Juang's limited-interval scheme produce unstable
reduced-order models for original stable discrete-time systems. To the best of the author's …

Computationally Efficient Reduced Order Modeling of DFIG-Based Wind Turbines: A Novel Frequency-Weighted and Limited Model Reduction Approach with Error …

M Latif, H Ambreen, F Hassan, M Imran - IEEE Access, 2024 - ieeexplore.ieee.org
In wind turbine engineering, stability and control rely on precision. A new approach for
discrete-time systems is presented in this study, which makes use of constrained Gramians …

Time-limited Gramians based model reduction framework for 1-D and 2-D systems

M Imran, SF Hamdani, M Imran - International Journal of Control …, 2022 - Springer
Gawronski and Juang provide an unstable reduced-order model formulation without a priori
error bounds for the original one-and two-dimensional models. Several strategies were put …

Development of stability-preserving time-limited model reduction framework for 2-D and 1-D models with error bound

M Imran, SH Ambreen, SN Hamdani, M Imran… - Control Theory and …, 2022 - Springer
Due to their complex structure, 2-D models are challenging to work with; additionally,
simulation, analysis, design, and control get increasingly difficult as the order of the model …

Improving Computational Efficiency in Power Systems: Development of Model Reduction Framework with Error-Bound for Wind Turbines-Based on DFIG

M Latif, K Waqar, H Ambreen, M Imran… - … on Applied Sciences …, 2023 - ieeexplore.ieee.org
Modern wind turbines are steady, controlled, and observable because of the analytical and
modeling precision used in their design. In the context of a varying speed-based wind …