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This paper proposes an online steady-state voltage stability assessment scheme to evaluate the proximity to voltage collapse at each bus of a load area. Using a non-iterative holomorphic embedding method (HEM) with a proposed physical germ…

Computational Engineering, Finance, and Science · Computer Science 2017-06-22 Chengxi Liu , Bin Wang , Fengkai Hu , Kai Sun , Claus Leth Bak

In the steady-state contingency analysis, the traditional Newton-Raphson method suffers from non-convergence issues when solving post-outage power flow problems, which hinders the integrity and accuracy of security assessment. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-08 Rui Yao , Feng Qiu , Kai Sun

A new method of solving the power-flow problem, the holomorphically embedded load-flow method (HELM) is theoretically guaranteed to find the high-voltage solution, if one exists, up to the saddle-node bifurcation point (SNBP), provided…

Systems and Control · Computer Science 2017-08-23 Shruti Rao , Daniel Tylavsky , Weili Yi , Vijay Vittal , Di Shi , Zhiwei Wang

After a sudden disturbance, the energy balance of generators is disturbed, and the power outputs of synchronous generators vary as their rotor angles shift from their equilibrium points. This trend essentially presents the versatile…

Signal Processing · Electrical Eng. & Systems 2020-01-07 Faycal Znidi , Hamzeh Davarikia , Mohammad Arani , Masoud Barati

We introduce the dynamics mode decomposition for monitoring wide-area power grid networks from sparse measurement data. The mathematical framework fuses data from multiple sensors based on multivariate statistics, providing accurate full…

Pattern Formation and Solitons · Physics 2019-06-11 J. Jorge Ramos , J. Nathan Kutz

The Holomorphic Embedding Load-Flow Method (HELM) was recently introduced as a novel technique to constructively solve the power-flow equations in power grids, based on advanced complex analysis. In this paper, the theoretical foundations…

Systems and Control · Computer Science 2015-09-09 Antonio Trias

This paper proposes an accurate High Impedance Fault (HIF) detection and isolation scheme in a power distribution network. The proposed schemes utilize the data available from voltage and current sensors. The technique employs multiple…

Systems and Control · Electrical Eng. & Systems 2019-09-25 Muhammad Sarwar , Faisal Mehmood , Muhammad Abid , Abdul Qayyum Khan , Sufi Tabassum Gul , Adil Sarwar Khan

This paper explores whether graph embedding methods can be used as a tool for analysing the robustness of power-grids within the framework of network science. The paper focuses on the strain elevation tension spring embedding (SETSe)…

Systems and Control · Electrical Eng. & Systems 2021-05-28 Jonathan Bourne

It is well known that closed-form analytical solutions for AC power flow equations do not exist in general. This paper proposes a multi-dimensional holomorphic embedding method (MDHEM) to obtain an explicit approximate analytical AC…

Systems and Control · Computer Science 2019-03-26 Chengxi Liu , Bin Wang , Xin Xu , Kai Sun , Claus Leth Bak

This paper presents the intrinsic geometric model for the solution of power system planning and its operation. This problem is large-scale and nonlinear, in general. Thus, we have developed the intrinsic geometric model for the network…

Applications · Statistics 2010-11-15 N. Gupta , B. N. Tiwari , S. Bellucci

The Holomorphic Embedding Load Flow Method (HELM) has been suggested as an alternative approach to solve load flow problems. However, the current literature does not provide any HELM models that can accurately handle general power networks…

Optimization and Control · Mathematics 2016-07-04 I. Wallace , D. Roberts , A. Grothey , K. I. M. McKinnon

This paper proposes a method to embed the AC power flow problem with voltage magnitude constraints in the complex plane. Modeling the action of network controllers that regulate the magnitude of voltage phasors is a challenging task in the…

Systems and Control · Computer Science 2015-04-14 Sina S. Baghsorkhi , Sergey P. Suetin

Part II of this paper elaborates on the unique capability of the proposed power flow analysis framework to obtain the true solution corresponding to the stable operating point of a network. It explains the significance of obtaining the true…

Systems and Control · Computer Science 2016-09-06 Sina S. Baghsorkhi , Sergey P. Suetin

Large scale integration of distributed energy resources and electric vehicles in a transactive energy environment present new challenges in terms of voltage stability and fluctuations in a power distribution system. The impact of different…

Systems and Control · Electrical Eng. & Systems 2021-04-30 Sai Munikoti , Kumarsinh Jhala , Kexing Lai , Balasubramaniam Natarajan

Electrical signaling via voltage-gated ion channels depends upon the function of a voltage sensor (VS), identified with the S1-S4 domain in voltage-gated K+ channels. Here we investigate some energetic aspects of the sliding-helix model of…

Biomolecules · Quantitative Biology 2019-01-18 Alexander Peyser , Wolfgang Nonner

The recently proposed non-iterative load flow method, called the holomorphic embedding method, may encounter the precision issue, i.e. nontrivial round-off errors caused by the limit of digits used in computation when calculating the…

Systems and Control · Computer Science 2017-05-08 Bin Wang , Chengxi Liu , Kai Sun

The assessment of voltage stability margins is a promising direction for wide-area monitoring systems. Accurate monitoring architectures for long-term voltage instability are typically centralized and lack scalability, while completely…

Optimization and Control · Mathematics 2017-09-21 John W. Simpson-Porco , Francesco Bullo

The increasing penetration of renewable energy sources, characterised by low inertia and intermittent disturbances, presents substantial challenges to power system stability. As critical indicators of system stability, frequency dynamics…

Systems and Control · Electrical Eng. & Systems 2025-02-19 Xiao Li , Xinyi Wen , Benjamin Schäfer

The Phasor measurement unit (PMU) measurements are mandatory to monitor the power system's voltage stability margin in an online manner. Monitoring is key to the secure operation of the grid. Traditionally, online monitoring of voltage…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Kishan Prudhvi Guddanti , Amarsagar Reddy Ramapuram Matavalam , Yang Weng

This paper analyzes the delayed voltage recovery phenomenon by simplifying the Western Electricity Coordinating Council (WECC) composite load model using the load admittance and the thermal relay dynamics. From this analysis, a closed form…

Signal Processing · Electrical Eng. & Systems 2020-01-23 Amarsagar Reddy Ramapuram Matavalam , Venkataramana Ajjarapu
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