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Power distribution networks, especially in North America, are often unbalanced but are designed to keep unbalance levels within the limits specified by IEEE, IEC, and NEMA standards. However, rapid integration of unbalanced devices, such as…

Systems and Control · Electrical Eng. & Systems 2025-01-14 Rahul K. Gupta , Daniel K. Molzahn

With increasing penetrations of single-phase, rooftop solar PV installations, the relative variations in per-phase loading and associated voltage unbalance are expected to increase. High voltage unbalance may increase network losses and…

Systems and Control · Electrical Eng. & Systems 2020-04-23 Kshitij Girigoudar , Line A. Roald

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

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

Optimal Power Flow (OPF) is an important tool used to coordinate assets in electric power systems to ensure customer voltages are within pre-defined tolerances and to improve distribution system operations. While convex relaxations of…

Optimization and Control · Mathematics 2016-11-18 Michael D. Sankur , Roel Dobbe , Emma Stewart , Duncan S. Callaway , Daniel B. Arnold

The problem of optimal control of power distribution systems is becoming increasingly compelling due to the progressive penetration of distributed energy resources in this specific layer of the electrical infrastructure. Distribution…

Systems and Control · Computer Science 2016-11-17 Konstantina Christakou , Jean-Yves Le Boudec , Mario Paolone , Dan-Cristian Tomozei

This paper proposes a novel two-layer Volt/VAR control (VVC) framework to regulate the voltage profiles across an unbalanced active distribution system, which achieves both the efficient open-loop optimization and accurate closed-loop…

Systems and Control · Electrical Eng. & Systems 2019-12-25 Yifei Guo , Qianzhi Zhang , Zhaoyu Wang , Fankun Bu , Yuxuan Yuan

Photovoltaic (PV) smart inverters can improve the voltage profile of distribution networks. A multi-objective optimization framework for coordination of reactive power injection of smart inverters and tap operations of on-load tap changers…

Systems and Control · Electrical Eng. & Systems 2020-06-26 Changfu Li , Vahid R. Disfani , Hamed Valizadeh Haghi , Jan Kleissl

The proliferation of phasor measurement units (PMUs) into electric power distribution grids presents new opportunities for utility operators to manage distribution systems more effectively. One potential application of PMU measurements is…

Optimization and Control · Mathematics 2019-06-27 Michael D. Sankur , Roel Dobbe , Alexandra von Meier , Emma M. Stewart , Daniel B. Arnold

Finding clear economic signals for distribution-network operation and expansion is increasingly important as single-phase loads and distributed energy resources escalate. These devices create phase-to-phase imbalances that manifest as…

Systems and Control · Electrical Eng. & Systems 2026-03-30 Alireza Zabihi , Luis Badesa , Araceli Hernandez

Time-varying renewable energy generation can result in serious under-/over-voltage conditions in future distribution grids. Augmenting conventional utility-owned voltage regulating equipment with the reactive power capabilities of…

Systems and Control · Computer Science 2015-08-27 Vassilis Kekatos , Liang Zhang , Georgios B. Giannakis , Ross Baldick

With increasing penetration of renewable energy and active consumers, control and management of power distribution networks has become challenging. Renewable energy sources can cause random voltage fluctuations as their output power depends…

Systems and Control · Electrical Eng. & Systems 2020-08-26 Mohammad Abujubbeh , Sai Munikoti , Balasubramaniam Natarajan

Voltage unbalance in distribution networks (DN) is expected to grow with increasing penetration of single-phase distributed generation and single-phase loads such as electric vehicle chargers. Unbalance mitigation will be a significant…

Systems and Control · Electrical Eng. & Systems 2022-02-22 Md Umar Hashmi , Arpan Koirala , Rickard Lundholm , Hakan Ergun , Dirk Van Hertem

In distribution systems, power injection variability due to growing penetrations of distributed energy resources (DERs) and dispatchable loads can lead to power quality issues such as severe voltage unbalance. To ensure the safe operation…

Optimization and Control · Mathematics 2019-12-05 Bowen Li , Bai Cui , Feng Qiu , Daniel K. Molzahn

The non-linearity and non-convexity of power flow models and the phase coupling challenge the analysis and optimization of unbalanced distribution networks. To tackle the challenges, this paper proposes an online feedback-based linearized…

Systems and Control · Electrical Eng. & Systems 2021-07-27 Rui Cheng , Zhaoyu Wang , Yifei Guo

The large penetration of distributed generations impacts both the secondary low-voltage (LV) and the primary medium-voltage (MV) segments of the distribution network. Optimizing power flow calculations for the integrated MV/LV networks is…

Systems and Control · Electrical Eng. & Systems 2025-11-24 Abduljalil S. Aljadani , Firdous U. Nazir , Bikash C. Pal , Izudin Džafić , Rabih A. Jabr

As combating climate change has become a top priority and as many countries are taking steps to make their power generation sustainable, there is a marked increase in the use of renewable energy sources (RESs) for electricity generation.…

Systems and Control · Electrical Eng. & Systems 2021-07-08 W. G. Chaminda Bandara , G. M. R. I. Godaliyadda , M. P. B. Ekanayake , J. B. Ekanayake

This paper emphasizes the importance of including the unbalance in the distribution networks for stability studies in power systems. The paper aims to: discuss the various simulation methods for power system analysis; highlight the need for…

Systems and Control · Computer Science 2019-03-15 Alok Kumar Bharati , Venkataramana Ajjarapu

An accurate distribution network model is crucial for monitoring, state estimation and energy management. However, existing data-driven methods often struggle with scalability or impose a heavy computational burden on large distribution…

Systems and Control · Electrical Eng. & Systems 2025-03-12 Sakirat Wolly , Xiaozhe Wang

The distribution system problems, such as planning, loss minimization, and energy restoration, usually involve the phase balancing or network reconfiguration procedures. The determination of an optimal phase balance is, in general, a…

Neural and Evolutionary Computing · Computer Science 2015-03-23 A. Ukil , W. Siti , J. Jordaan
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