A Hybrid Approach for Model Order Reduction and Controller Design of Large-Scale Power Systems

Electrical and Electronic Devices, Circuits and Materials ◽

10.1201/9781003097723-13 ◽

2021 ◽

pp. 211-226

Author(s):

Rishabh Singhal ◽

Yashonidhi Srivastava ◽

Shini Agarwal ◽

Abhimanyu Kumar ◽

Souvik Ganguli

Keyword(s):

Power Systems ◽

Model Order Reduction ◽

Large Scale ◽

Controller Design ◽

Hybrid Approach ◽

Order Reduction ◽

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A novel ADI based method for model order reduction of large-scale power systems

2016 IEEE International Conference on Power System Technology (POWERCON) ◽

10.1109/powercon.2016.7753854 ◽

2016 ◽

Author(s):

Yu Ni ◽

Zhengchun Du ◽

Chongtao Li ◽

Cong Wang

Keyword(s):

Power Systems ◽

Model Order Reduction ◽

Large Scale ◽

Order Reduction ◽

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An iterative model order reduction method for large-scale dynamical systems

ANZIAM Journal ◽

10.21914/anziamj.v59i0.9622 ◽

2017 ◽

Vol 59 ◽

pp. 115

Author(s):

Kouki Mohamed ◽

Abbes Mehdi ◽

Mami Abdelkader

Keyword(s):

Dynamical Systems ◽

Model Order Reduction ◽

Large Scale ◽

Reduction Method ◽

Order Reduction ◽

Model Order ◽

Iterative Model ◽

Order Reduction Method

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PID Controller Design based on IMC Using Model Order Reduction and Modern Control Approach: Application to Single Area Load Frequency Control Problem

2020 IEEE 16th International Conference on Control & Automation (ICCA) ◽

10.1109/icca51439.2020.9264425 ◽

2020 ◽

Author(s):

Yogesh V. Hote ◽

Nikita S. Raut

Keyword(s):

Control Problem ◽

Pid Controller ◽

Model Order Reduction ◽

Controller Design ◽

Frequency Control ◽

Order Reduction ◽

Load Frequency Control ◽

Model Order ◽

Control Approach ◽

Pid Controller Design

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Controller design via model order reduction for interval systems using Kharitonov theorem and Nevalinna-pick theory: a case study

International Journal of System Control and Information Processing ◽

10.1504/ijscip.2021.10041143 ◽

2021 ◽

Vol 3 (3) ◽

pp. 193

Author(s):

V.P. Singh ◽

Dharma Pal Singh Chauhan

Keyword(s):

Model Order Reduction ◽

Controller Design ◽

Order Reduction ◽

Model Order ◽

Kharitonov Theorem ◽

Interval Systems

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Eine Unschärfe-Relation zwischen Pol-Nullstellen-Verteilung und Eingangs-Ausgangsverhalten linearer dynamischer Systeme und ihre Auswirkungen auf Identifikation, Ordnungsreduktion und Reglerentwurf / The relation between pole-zero location and input-output behaviour of linear dynamical systems and its consequences for identification, model order reduction and controller design

at - Automatisierungstechnik ◽

10.1524/auto.1987.35.112.411 ◽

1987 ◽

Vol 35 (1-12) ◽

Author(s):

P. Hippe ◽

Η. Stahl

Keyword(s):

Dynamical Systems ◽

Model Order Reduction ◽

Controller Design ◽

Order Reduction ◽

Input Output ◽

Model Order ◽

Linear Dynamical Systems ◽

Identification Model ◽

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Model-Order Reduction of Large-Scale State-Space Models in Fusion Machines via Krylov Methods

IEEE Transactions on Magnetics ◽

10.1109/tmag.2017.2660760 ◽

2017 ◽

Vol 53 (6) ◽

pp. 1-4 ◽

Author(s):

Matteo Bonotto ◽

Paolo Bettini ◽

Angelo Cenedese

Keyword(s):

State Space ◽

Model Order Reduction ◽

Large Scale ◽

Order Reduction ◽

State Space Models ◽

Krylov Methods ◽

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Model Order Reduction Method for Large-Scale $RC$ Interconnect and Implementation of Adaptive Digital PI Controller

IEEE Transactions on Very Large Scale Integration (VLSI) Systems ◽

10.1109/tvlsi.2019.2922219 ◽

2019 ◽

Vol 27 (10) ◽

pp. 2447-2458 ◽

Author(s):

Kouki Mohamed

Keyword(s):

Model Order Reduction ◽

Large Scale ◽

Reduction Method ◽

Order Reduction ◽

Pi Controller ◽

Model Order ◽

Order Reduction Method

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Model order reduction for large-scale structures with local nonlinearities

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.04.042 ◽

2019 ◽

Vol 353 ◽

pp. 491-515 ◽

Author(s):

Zhenying Zhang ◽

Mengwu Guo ◽

Jan S. Hesthaven

Keyword(s):

Model Order Reduction ◽

Large Scale ◽

Order Reduction ◽

Model Order ◽

Large Scale Structures ◽

Scale Structures

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Substructure Preservation Sylvester-based Model Order Reduction with Application to Power Systems

Electric Power Components and Systems ◽

10.1080/15325008.2014.903543 ◽

2014 ◽

Vol 42 (9) ◽

pp. 914-926 ◽

Author(s):

Othman M. K. Alsmadi ◽

Saleh S. Saraireh ◽

Zaer S. Abo-Hammour ◽

Ali H. Al-Marzouq

Keyword(s):

Power Systems ◽

Model Order Reduction ◽

Order Reduction ◽

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AN ITERATIVE MODEL ORDER REDUCTION METHOD FOR LARGE-SCALE DYNAMICAL SYSTEMS

The ANZIAM Journal ◽

10.1017/s1446181117000049 ◽

2017 ◽

Vol 59 (1) ◽

pp. 115-133

Author(s):

K. MOHAMED ◽

A. MEHDI ◽

M. ABDELKADER

Keyword(s):

Dynamical Systems ◽

Model Order Reduction ◽

Large Scale ◽

Reduction Method ◽

Linear Time ◽

Order Reduction ◽

Lyapunov Equation ◽

Model Order ◽

Iterative Model ◽

Order Reduction Method

We present a new iterative model order reduction method for large-scale linear time-invariant dynamical systems, based on a combined singular value decomposition–adaptive-order rational Arnoldi (SVD-AORA) approach. This method is an extension of the SVD-rational Krylov method. It is based on two-sided projections: the SVD side depends on the observability Gramian by the resolution of the Lyapunov equation, and the Krylov side is generated by the adaptive-order rational Arnoldi based on moment matching. The use of the SVD provides stability for the reduced system, and the use of the AORA method provides numerical efficiency and a relative lower computation complexity. The reduced model obtained is asymptotically stable and minimizes the error ($H_{2}$and$H_{\infty }$) between the original and the reduced system. Two examples are given to study the performance of the proposed approach.

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