An efficient FPGA-based direct linear solver

Jiang, Zhenhua; Raziei, Sayed Ata

doi:10.1109/naecon.2017.8268762

Cited by 14 publications

(4 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Each iteration includes one inversion of an m×m matrix, one multiplication of two m×m matrices, four multiplications of an m×m matrix with an m× 1 vector and four dot multiplication of an n ×1 vector. Totally, it requires about 10,000 clock cycles [25]. The used Xilinx Vertex 6 FPGA has a clock frequency of 200 MHz.…”

Section: Some Discussion About the Proposed Controlmentioning

confidence: 99%

Real‐time optimisation of short‐term frequency stability controls for a power system with renewables and multi‐infeed HVDCs

Wang

Xie

Xiang

et al. 2018

IET Renewable Power Generation

View full text Add to dashboard Cite

Short-term frequency stability (STFS) is becoming a great concern for a regional receiving-end power system such as the East China Power Grid (ECPG) mainly for two reasons: (i) the increasing percentage of power injected from multi-infeed (ultra-) high-voltage DCs (HVDCs) with the skyrocketed capacities; (ii) the replacement of traditional generation by the continuously growing inertia-less renewables. However, the existing emergency control is not adaptive enough to maintain STFS under varying operation conditions. In this study, a real-time optimised control is proposed to solve the issue more efficiently. It combines emergency power boosting (EPB) of HVDC and emergency demand response (EDR) in a coordinated way. The optimal control problem is formulated based on the online-updated models that reflect the current state of the system and the dynamic responses of multiple types of generators. By converting the non-linear constraint into a linear matrix inequality, the allocation of EPB and EDR can be optimised in a real-time and coordinated way. The performance of the proposed control and its advantages over the existing one are verified by simulation studies on the model of ECPG with low, normal and high penetrations of renewables.

show abstract

Section: Some Discussion About the Proposed Controlmentioning

confidence: 99%

Real‐time optimisation of short‐term frequency stability controls for a power system with renewables and multi‐infeed HVDCs

Wang

Xie

Xiang

et al. 2018

IET Renewable Power Generation

View full text Add to dashboard Cite

show abstract

“…After the disturbance occurs, the voltage and phase angle data of each generator can be obtained from WAMS, also the same information for the converter station needs to be collected. Considering the communication delay which is <100 ms [32], the total time that spending on the establishment of the emergency control strategy is <140 ms, which is short enough for the emergency control. However, it is difficult to extend the proposed method to larger scare systems.…”

Section: Simulation Analysismentioning

confidence: 99%

Coordinated multiple HVDC modulation emergency control for enhancing power system frequency stability

Wang

Xiang

et al. 2020

IET Renewable Power Generation

View full text Add to dashboard Cite

High‐voltage direct current (HVDC) power modulation can effectively improve the system frequency stability after high power shortage fault disturbance. This study presents an emergency control method by coordinating the active powers of multiple HVDC lines for enhancing the frequency stability. Firstly, the system frequency response model with HVDC modulation is built, and then a simplified method for calculating the sensitivity of maximum frequency to HVDC modulation is proposed based on the first‐order differential method. Next, based on a functional relationship of the AC bus voltage and the actual HVDC modulation capacity, the methodology for calculating the HVDC real‐time modulation capacity is proposed. Finally, the coordinated multiple HVDC modulation emergency control model is established which aims to minimise the modulation cost considering the maximum frequency threshold. The proposed methodology has been tested in a real‐power system. The simulation results of different scenarios have verified its effectiveness in suppressing the rise of maximum frequency and enhancing frequency stability.

show abstract

“…Direct methods, such as LU (Lower-Upper triangular) factorization, Gaussian elimination, QR factorization, and Cholesky factorization, are typically employed for dense linear systems, that is, systems that have the majority of their elements as non-zero values. In contrast, iterative methods encompass techniques such as Jacobi, Gauss-Seidel, and relaxation iterations, which are effective for sparse linear systems [22]. This present work solves the system of equations using Gaussian elimination with partial pivoting, which is the method adopted by the VTM software.…”

Section: Introductionmentioning

confidence: 99%

High-Throughput Hardware Design for Linear Equation System Solving of VVC Affine Prediction

Maass,

Muñoz,

Perleberg

et al. 2023

JICS

View full text Add to dashboard Cite

The affine prediction is the main novelty in the inter-frame prediction of Versatile Video Coding (VVC) standard. However, implementing the affine prediction requires a huge computational effort that makes mandatory the use of dedicated hardware accelerators to achieve real-time processing and meet the constraints of area and power dissipation for mobile devices. In light of this, this work presents different approaches for a hardware design dedicated to solving the linear equation system, which is essential for refiningthe affine Motion Vector. Synthesis results show that the High- Throughput architecture, which explores the parallelism of internal operations, can reach an accuracy of 99.99%, requiring 333.9kgates to be implemented and presenting a power dissipation of 120.4mW when running at 540MHz, the operational frequency required to process 60 frames per second of HD 1080p videos.

show abstract

An efficient FPGA-based direct linear solver

Cited by 14 publications

References 12 publications

Real‐time optimisation of short‐term frequency stability controls for a power system with renewables and multi‐infeed HVDCs

Real‐time optimisation of short‐term frequency stability controls for a power system with renewables and multi‐infeed HVDCs

Coordinated multiple HVDC modulation emergency control for enhancing power system frequency stability

High-Throughput Hardware Design for Linear Equation System Solving of VVC Affine Prediction

Contact Info

Product

Resources

About