Development of Frequency Weighted Model Reduction Algorithm with Error Bound: Application to Doubly Fed Induction Generator Based Wind Turbines for Power System

Abstract

The state-space representations grant a convenient, compact, and elegant way to examine the induction and synchronous generator-based wind turbines, with facts readily available for stability, controllability, and observability analysis. The state-space models are used to look into the functionality of different wind turbine technologies to fulfill grid code requirements. This paper deals with the model order reduction of the Variable-Speed Wind Turbines model with the aid of improved stability preserving a balanced realization algorithm based on frequency weighting. The algorithm, which is in view of balanced realization based on frequency weighting, can be utilized for reducing the order of the system. Balanced realization based model design uses a full frequency spectrum to perform the model reduction. However, it is not possible practically to use the full frequency spectrum. The Variable-Speed Wind Turbines model utilized in this paper is stable and includes various input-output states. This brings a complicated state of affairs for analysis, control, and design of the full-scale system. The proposed work produces steady and precise outcomes such as in contrast to conventional reduction methods which shows the efficacy of the proposed algorithm.

Development of Frequency Weighted Model Order Reduction Techniques for Discrete-Time One-Dimensional and Two-Dimensional Linear Systems With Error Bounds

“…As a consequence, ROMs obtained are stable, and these techniques yield error bound formula [42]. Remark 8: Similarly, ROMs for decomposed systems (19) and (20) are obtained in similar way as in (49)(50) and (51-52) respectively. Moreover, ROMs obtained are stable and also yield error bound formula [42].…”

Voltage stability improvement of an Egyptian power grid‐based wind energy system using STATCOM

“…Wind energy production is available domestically and has an increasing rate reaching 20% annually 3 . The total capacity of wind energy globally is 651 GW in 2019 4 . In addition to 71.3 GW is installed in 2020 despite the impacts of COVID‐19.…”

“…3 The total capacity of wind energy globally is 651 GW in 2019. 4 In addition to 71.3 GW is installed in 2020 despite the impacts of COVID-19.…”

Corrections to “Frequency Limited & Weighted Model Reduction Algorithm With Error Bound: Application to Discrete-Time Doubly Fed Induction Generator Based Wind Turbines for Power System”

“…In the above article [1], two relevant references [2], [3] were missing. The last sentence of Section I-C. should read ''Proposed technique deals with frequency weighted and limited Gramians based MOR approach for the discrete-time systems.…”

“…The last sentence of Section I-C. should read ''Proposed technique deals with frequency weighted and limited Gramians based MOR approach for the discrete-time systems. The frequency weighted version of proposed work appears in [2] while frequency limited work appears in [3] for continuous time systems. Compared to [2], [3], mathematical model and simulations in [1] are done for frequency weighted and limited scenarios for discrete time systems.…”