A Schur method for balanced-truncation model reduction

Model order reduction of a dynamical linear time-invariant system appears in many applications from science and engineering. Numerically reliable SVD-based methods for this task require in general O(n 3 ) floating-point arithmetic operations, with n being in the range 10 3 − 10 5 for many practical applications. In this paper we investigate the use of graphics processors (GPUs) to accelerate model reduction of large-scale linear systems by off-loading the computationally intensive tasks to this device. Experiments on a hybrid platform consisting of state-of-the-art general-purpose multi-core processors and a GPU illustrate the potential of this approach.

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“…BT model reduction [13,14,15,16] belongs to the family of absolute error methods, which aim at minimizing…”

Section: Svd-based Methods For Model Reductionmentioning

confidence: 99%

Accelerating Model Reduction of Large Linear Systems with Graphics Processors

Benner

Ezzatti

Kreßner

et al. 2012

Applied Parallel and Scientific Computing

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“…Several algorithms have been presented in the literature to address this issue [18,19]. Among these, the most promising is the balancing free algorithm [18]. Therefore, to calculate ROM, the balancing free algorithm [18] is adapted.…”

Section: Algorithmmentioning

confidence: 99%

“…Among these, the most promising is the balancing free algorithm [18]. Therefore, to calculate ROM, the balancing free algorithm [18] is adapted.…”

Section: Algorithmmentioning

confidence: 99%

Model reduction of discrete-time systems in limited intervals

Zulfiqar¹,

Liaquat²

2018

Turk J Elec Eng & Comp Sci

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Abstract:Model order reduction (MOR) is a process of obtaining a lower order surrogate model that accurately approximates the original high-order system. Since no actuator or plant operates over the entire time and frequency ranges, the reduced-order model should be accurate in the actual range of operation. In this paper, model reduction techniques for discrete time systems are presented that ensure less reduction error in the specified time and frequency intervals. The techniques are tested on the benchmark numerical examples and their efficacy is shown.

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“…By choosing ω 13 as the output and u g as the input (as shown in Figure 3), the Schur mode-reduction method [31] is utilized to achieve the reduced-order system model. Figure 12 shows the frequency responses of the reduced-order and full-order systems.…”

Section: Delay-dependent Stabilitymentioning

confidence: 99%

“…Hence, a model reduction method is always used to reduce the order of the entire power system. The 'Schur' model-reduction procedure [31] is used to find the reduced-order system. The reduced-order model of the power system can be presented as follows:…”

Section: Time-delay Of Wide-area Signalsmentioning

confidence: 99%

Concurrently attuned design of a WADC-based UPFC PSDC and multiinput PSS for improving power system dynamic performance

Hashemi¹,

Kazemzadeh²,

Azizian³

et al. 2014

Turk J Elec Eng & Comp Sci

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Abstract:A new controller design for a unified power flow controller (UPFC) for damping of power system swings, focusing on interarea modes, is described in this paper. The proposed controller is a dual-layer controller, where the first layer is derived from local signals and the second layer is supplied by global signals, as additional measuring information from suitable remote network locations, where swings are well observable. For damping of low-frequency swing in wide-area operation, since there is little system information in the active power as input of the conventional power system stabilizer (CPSS), the effectiveness of the CPSS is low. For solving this problem, a multiinput power system stabilizer (MPSS) is used for the damping of low-frequency swings, where the choice of the MPSS location is based on modal analysis. Since an uncoordinated controller for the UPFC and MPSS may cause unwanted interactions, the concurrently attuned design of the controller parameters is necessary. The attuned design is presented as an optimization problem, where the particle swarm optimization algorithm is applied to search for the optimal controller parameters.The introduced time delay by remote signal transmission and processing in a wide-area damping controller (WADC) may be problematic for system stability and may decrease system robustness. The Lyapunov theory and model reduction technique are used to investigate the delay-dependent stability of a power system equipped with a WADC. The designed controller's effectiveness and robustness are investigated on a typical 2-area 4-machine benchmark power system.

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A Schur method for balanced-truncation model reduction

Cited by 536 publications

References 5 publications

Accelerating Model Reduction of Large Linear Systems with Graphics Processors

Accelerating Model Reduction of Large Linear Systems with Graphics Processors

Model reduction of discrete-time systems in limited intervals

Concurrently attuned design of a WADC-based UPFC PSDC and multiinput PSS for improving power system dynamic performance

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