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Related papers: Power Flow Solvability with Volt-Var Controlled In…

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Recent advances in power system simulation have included the use of complex rectangular current and voltage (I-V) variables for solving the power flow and three-phase power flow problems. This formulation has demonstrated superior…

Systems and Control · Computer Science 2017-11-07 Amritanshu Pandey , Marko Jereminov , Gabriela Hug , Larry Pileggi

In this two-part paper we develop a unifying framework for the analysis of the feasibility of the power flow equations for DC power grids with constant-power loads. Part II of this paper explores further implications of the results in Part…

Optimization and Control · Mathematics 2020-11-19 Mark Jeeninga , Claudio De Persis , Arjan van der Schaft

Unbalanced optimal power flow refers to a class of optimization problems subject to the steady state physics of three-phase power grids with nonnegligible phase unbalance. Significant progress on this problem has been made on the…

Optimization and Control · Mathematics 2023-08-22 Frederik Geth , Hakan Ergun

In this paper, we address the problem of coordinating a set of distributed energy resources (DERs) to regulate voltage in power distribution systems to desired levels. To this end, we formulate the voltage control problem as an optimization…

Optimization and Control · Mathematics 2020-06-09 Hanchen Xu , Alejandro D. Domínguez-García , Peter W. Sauer

Integration of distributed energy resources has created a need for autonomous, dynamic voltage regulation. Decentralized Volt-VAr Control (VVC) of grid-connected inverters presents a unique opportunity for voltage management but, if…

Systems and Control · Electrical Eng. & Systems 2025-10-17 Daniel Russell , Dakota Hamilton , Mads R. Almassalkhi , Hamid R. Ossareh

For the nonlinear power flow problem specified with standard PQ, PV, and slack bus equality constraints, we present a sufficient condition under which the specified set of nonlinear algebraic equations has no solution. This sufficient…

Optimization and Control · Mathematics 2014-02-03 Daniel K. Molzahn , Bernard C. Lesieutre , Christopher L. DeMarco

The power flow equations relate bus voltage phasors to power injections via the network admittance matrix. These equations are central to the key operational and protection functions of power systems (e.g., optimal power flow scheduling and…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Samuel Talkington , Daniel Turizo , Sergio A. Dorado-Rojas , Rahul K. Gupta , Daniel K. Molzahn

This paper considers the network flow stabilization problem in power systems and adopts an output regulation viewpoint. Building upon the structure of a heterogeneous port-Hamiltonian model, we integrate network aspects and develop a…

Optimization and Control · Mathematics 2018-04-27 Catalin Arghir , Florian Dörfler

Integrating renewable energy into the power grid requires intelligent risk-aware dispatch accounting for the stochastic availability of renewables. Toward achieving this goal, a robust DC optimal flow problem is developed in the present…

Optimization and Control · Mathematics 2013-10-29 Yu Zhang , Georgios B. Giannakis

In this paper we study the DC power flow equations of a purely resistive DC power grid which consists of interconnected DC microgrids with constant-power loads. We present a condition on the power grid which guarantees the existence of a…

Optimization and Control · Mathematics 2019-04-19 Mark Jeeninga , Claudio De Persis , Arjan J. van der Schaft

Volt-VAr control is a popular method for mitigating overvoltage violations caused by high penetration of distributed energy resources (DERs) in distribution feeders. An inherent limitation of volt-VAr control is that the reactive power (Q)…

Systems and Control · Electrical Eng. & Systems 2024-05-29 Madhura Sondharangalla , Dan Moldovan , Raja Ayyanar

A standard operational requirement in power systems is that the voltage magnitudes lie within prespecified bounds. Conventional engineering wisdom suggests that such a tightly-regulated profile, imposed for system design purposes and good…

Optimization and Control · Mathematics 2020-10-06 Marco Todescato , John W. Simpson-Porco , Florian Dörfler , Ruggero Carli , Francesco Bullo

This paper considers an incremental Volt/Var control scheme for distribution systems with high integration of inverter-interfaced distributed generation (such as photovoltaic systems). The incremental Volt/Var controller is implemented with…

Systems and Control · Electrical Eng. & Systems 2024-12-16 Antonin Colot , Elisabetta Perotti , Mevludin Glavic , Emiliano Dall'Anese

The multitudes of inverter-based distributed energy resources (DERs) can be envisioned as distributed reactive power (var) devices (\textit{mini-SVCs}) that can offer var flexibility at TSO-DSO interface. To facilitate this vision, a…

Optimization and Control · Mathematics 2022-09-07 Ankit Singhal , Venkataramana Ajjarapu

Fast-acting smart inverters that utilize preset operating conditions to determine real and reactive power injection/consumption can create voltage instabilities (over-voltage, voltage oscillations and more) in an electrical distribution…

Systems and Control · Electrical Eng. & Systems 2020-11-20 Shammya Shananda Saha , Daniel Arnold , Anna Scaglione , Eran Schweitzer , Ciaran Roberts , Sean Peisert , Nathan G. Johnson

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

Increasing adoption of smart meters and phasor measurement units (PMUs) in power distribution networks are enabling the adoption of data-driven/model-less control schemes to mitigate grid issues such as over/under voltages and power-flow…

Systems and Control · Electrical Eng. & Systems 2023-04-27 Rahul Gupta , Mario Paolone

Understanding the feasible power flow region is of central importance to power system analysis. In this paper, we propose a geometric view of the power system loadability problem. By using rectangular coordinates for complex voltages, we…

Optimization and Control · Mathematics 2018-07-31 Y. Weng , R. Rajagopal , B. Zhang

Smart inverters have been advocated as a fast-responding mechanism for voltage regulation in distribution grids. Nevertheless, optimal inverter coordination can be computationally demanding, and preset local control rules are known to be…

Optimization and Control · Mathematics 2019-09-26 Mana Jalali , Vassilis Kekatos , Nikolaos Gatsis , Deepjyoti Deka

Grid-interfacing inverters serve as the interface between renewable energy resources and the electric power grid, offering fast, programmable control capabilities. However, their operation is constrained by hardware limitations, such as…

Systems and Control · Electrical Eng. & Systems 2026-01-16 Trager Joswig-Jones , Baosen Zhang