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This paper extends the idea of the Thevenin equivalent into unbalanced 3{\phi} circuits and proposes a 3{\phi} long-term voltage stability indicator (VSI), that can identify critical loads in a system. Furthermore, in order to identify…

Optimization and Control · Mathematics 2020-01-23 Amarsagar Reddy Ramapuram Matavalam , Ankit Singhal , Venkataramana Ajjarapu

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

The short-term voltage stability (SVS) problem in large-scale receiving-end power systems is serious due to the increasing load demand, the increasing use of electronically controlled loads and so on. Some serious blackouts are considered…

Systems and Control · Computer Science 2017-02-23 Wenlu Zhao

Monitoring the long term voltage stability of the power grid is necessary to ensure its secure operation. This paper presents a new phasor based methodology that distinguishes between long term voltage stability caused by distribution…

Optimization and Control · Mathematics 2018-09-28 Amarsagar Reddy Ramapuram Matavalam , Ankit Singhal , Venkataramana Ajjarapu

Passivity indices have been widely adopted to derive distributed stability certificates for power systems. Nevertheless, conventional passivity indices remain scalar-valued even for multi-input-multi-output (MIMO) systems, which can…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Xi Ru , Cong Fu , Zhongze Li , Xiaoyu Peng , Feng Liu

This paper addresses the problem of real-time monitoring of long-term voltage instability (LTVI) by using local field measurements. Existing local measurement-based methods use Thevenin equivalent parameter estimation that is sensitive to…

Systems and Control · Electrical Eng. & Systems 2022-03-25 Kishan Prudhvi Guddanti , Amarsagar Matavalam , Yang Weng

Power distribution networks, especially in North America, are often unbalanced due to the mix of single-, two- and three-phase networks as well as due to the high penetration of single-phase devices at the distribution level such as…

Systems and Control · Electrical Eng. & Systems 2025-09-29 Rahul K. Gupta

This paper proposes an approach to address the voltage stability assessment (VSA) considering N-1 contingency. The approach leverages the sensitivity based Thevenin index (STI) which involves evaluating the Jacobian matrix at current…

Optimization and Control · Mathematics 2018-03-14 Xiaohu Zhang , Di Shi , Xiao Lu , Zhehan Yi , Qibing Zhang , Zhiwei Wang

Smart distribution grid with multiple renewable energy sources can experience random voltage fluctuations due to variable generation, which may result in voltage violations. Traditional voltage control algorithms are inadequate to handle…

Systems and Control · Electrical Eng. & Systems 2021-06-04 Sai Munikoti , Mohammad Abujubbeh , Kumarsinh Jhala , Balasubramaniam Natarajan

Unbalanced power, due to high penetration of single-phase PV rooftops into a four-wire multi-grounded LV distribution system, can result in significant rise in the neutral current and neutral voltage. This preprint proposes a distributed…

Systems and Control · Electrical Eng. & Systems 2020-11-13 Watcharakorn Pinthurat , Branislav Hredzak

Long-term voltage stability assessment (VSA) of independent transmission (T-VSA) and distribution (D-VSA)systems have been studied since long to estimate load margins. However, their impacts on each other have been neglected due to…

Algebraic Geometry · Mathematics 2018-05-30 Ankit Singhal , Venkataramana Ajjarapu

Power injection uncertainties in distribution power grids, which are mostly induced by aggressive introduction of intermittent renewable sources, may drive the system away from normal operating regimes and potentially lead to the loss of…

Optimization and Control · Mathematics 2018-11-21 Hung D. Nguyen , Krishnamurthy Dvijotham , Suhyoun Yu , Konstantin Turitsyn

Voltage unbalance, caused by variations in voltage magnitude and phase angle, is a significant power quality issue in three-phase systems, leading to equipment inefficiencies and increased system losses. The integration of distributed…

Systems and Control · Electrical Eng. & Systems 2025-05-30 Alireza Zabihi , Luis Badesa , Araceli Hernandez

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

Optimization and Control · Mathematics 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

Increased power demands, push for economics and limited investment in grid infrastructure have led utilities to operatepower systems closer to their stability limits. Voltage instability may trigger cascade tripping, wide-area voltage…

Systems and Control · Electrical Eng. & Systems 2020-05-29 Syed Muhammad Hur Rizvi , Pratim Kundu , Anurag K. Srivastava

Linear Time Periodic (LTP) framework-based analysis of Voltage Source Converters (VSCs) is becoming popular, a driven factor is that many of the existing VSC applications inevitably exhibit the periodic steady-state (PSS), e.g., VSCs with…

Systems and Control · Electrical Eng. & Systems 2021-12-06 Chen Zhang , Jon Are Suul , Marta Molinas

Unbalanced three-phase systems still lack a compact phasor-domain representation of power that makes phase asymmetry explicit while remaining consistent with established apparent-power definitions. This paper addresses that point through a…

Systems and Control · Electrical Eng. & Systems 2026-04-29 Juan Carlos Bravo-Rodríguez , Juan Carlos del-Pino-López , Francisco Casado-Machado

The output impedance matrices of three-phase grid-connected voltage source converters (VSCs) are widely used in power system stability analysis. Regardless of how the impedance is modeled, there always exist coupling terms in the impedance…

Systems and Control · Computer Science 2017-04-04 Huanhai Xin , Ziheng Li , Wei Dong , Zhen Wang , Leiqi Zhang

Photovoltaic (PV) smart inverters can regulate voltage in distribution systems by modulating reactive power of PV systems. In this paper, an optimization framework for optimal coordination of reactive power injection of smart inverters and…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Changfu Li , Vahid Disfani , Hamed Valizadeh Haghi , Jan Kleissl

Power system stability indices are used as measures to evaluate and quantify the response of the system to external large disturbances. This paper provides a comparative analysis of established transient stability indices. The indices…

Systems and Control · Electrical Eng. & Systems 2020-01-13 Amirhossein Sajadi , Robin Preece , Jovica Milanovic
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