Hybrid modal‐balanced truncation method based on power system transfer function energy concepts

Varricchio, Sergio Luis; Freitas, Francisco Damasceno; Martins, N.

doi:10.1049/iet-gtd.2014.1116

Cited by 5 publications

(4 citation statements)

References 18 publications

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“…end if (20) end while (21) Update Z (i) � Z (i) j and K (i) � K (i) j (22) end for ALGORITHM 6: Modified KN-LRCF-ADI (sparsity-preserving).…”

Section: Comparison Of the Results Found By Rksm And Kn-lrcf-adimentioning

confidence: 99%

“…Also, a modified sparse form of LRCF-ADI-based Kleinman-Newton method for solving CAREs subject to unstable power system models and corresponding stabilization approach is proposed. e proposed techniques are applied for the stabilization of the transient behaviors of unstable Brazilian Inter-Connected Power System (BIPS) models [22]. Moreover, the comparison of the computational results will be provided in both tabular and graphical methods.…”

Section: Introductionmentioning

confidence: 99%

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Computationally Efficient Optimal Control for Unstable Power System Models

Uddin

Khan

2021

Mathematical Problems in Engineering

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In this article, the focus is mainly on gaining the optimal control for the unstable power system models and stabilizing them through the Riccati-based feedback stabilization process with sparsity-preserving techniques. We are to find the solution of the Continuous-time Algebraic Riccati Equations (CAREs) governed from the unstable power system models derived from the Brazilian Inter-Connected Power System (BIPS) models, which are large-scale sparse index-1 descriptor systems. We propose the projection-based Rational Krylov Subspace Method (RKSM) for the iterative computation of the solution of the CAREs. The novelties of RKSM are sparsity-preserving computations and the implementation of time-convenient adaptive shift parameters. We modify the Low-Rank Cholesky-Factor integrated Alternating Direction Implicit (LRCF-ADI) technique-based nested iterative Kleinman–Newton (KN) method to a sparse form and adjust this to solve the desired CAREs. We compare the results achieved by the Kleinman–Newton method with that of using the RKSM. The applicability and adaptability of the proposed techniques are justified numerically with MATLAB simulations. Transient behaviors of the target models are investigated for comparative analysis through the tabular and graphical approaches.

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“…end if (20) end while (21) Update Z (i) � Z (i) j and K (i) � K (i) j (22) end for ALGORITHM 6: Modified KN-LRCF-ADI (sparsity-preserving).…”

Section: Comparison Of the Results Found By Rksm And Kn-lrcf-adimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Computationally Efficient Optimal Control for Unstable Power System Models

Uddin

Khan

2021

Mathematical Problems in Engineering

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“…Fortunately, simulation performance is validated to be able to be improved by orchestrating simulation step sizes for certain transient characteristics of simulated elements. For instance, an adaptive variable step method proposed in [21] was applied to transient simulation of active distribution networks. The adaptive adjustment of simulation step sizes of subnets was decided by leveraging local truncation errors.…”

Section: Introductionmentioning

confidence: 99%

A network‐decomposition‐based multi‐rate parallel transient simulation technique for active distribution networks

Wang

Tang

Zhang

et al. 2021

IET Generation Trans & Dist

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Emerging power sources and load demands penetrating the power system on demand side lead to diversified dynamic processes of distribution networks and thus create challenges for transient simulation of large-scale active distribution networks. This paper proposes a network-decomposition-based multi-rate parallel transient simulation technique for active distribution networks. Prominent advantages of the proposed method are accentuated by balancing computational complexities of CPU cores and devised core-oriented adaptive step sizes in terms of the simulated elements with various dynamic characteristics. First, an optimised decomposition strategy of active distribution networks is proposed with the goals of balancing the computational burden of each core and minimising interactive data between cores. On that basis, coordinating models of multi-port networks and equivalent models of interfaces are established. Then, a parallel simulation method of coordinated adaptive step sizes is proposed to accelerate the transient simulation. Case studies on eight feeders connecting to a common 10-kV bus are carried out to verify the simulation speed and precision of the proposed parallel simulation method.

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“…Then the technique was also in blocks and structures shapes in [7]. The BR was take back for reduction in time and frequency frames with a good results [8]- [11].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Equivalent Based on Balanced Realizations for Interconnection of Photovoltaic Distributed System

Orozco

Chávez

Popov

et al. 2018

2018 IEEE PES Innovative Smart Grid Technologies Conference Europe (ISGT-Europe)

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This paper presents a hybrid methodology to analyze electromagnetic transients in a photovoltaic distributed system. The methodology consists in split the system into two parts: the external zone, where the system is reduced by a dynamic equivalent obtained by the application of Balance Realization (BR) theory and the internal zone, where the system is modeled in detail and solved by a time domain technique. The methodology, that uses a predictor-corrector method to join both zones, does not need a transmission line to interconnect the systems but an element with reactive behavior to deal with the time coupling. In the first zone, the use of BR permits to obtain a new and reduced state-space description of the system that keeps the domain dynamics of the full system. The size of this system can be reduced as much as desired. Nevertheless, the resulting size is proportional to the accuracy. The BR decreases significantly the computational cost to simulate distributed networks. No restrictions are done in the internal zone where all the dynamics elements including the control if desired, can be simulated. The internal zone commonly contains non-linear or power electronic elements.

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Hybrid modal‐balanced truncation method based on power system transfer function energy concepts

Cited by 5 publications

References 18 publications

Computationally Efficient Optimal Control for Unstable Power System Models

Computationally Efficient Optimal Control for Unstable Power System Models

A network‐decomposition‐based multi‐rate parallel transient simulation technique for active distribution networks

Dynamic Equivalent Based on Balanced Realizations for Interconnection of Photovoltaic Distributed System

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