# A distributed voltage stability margin for power distribution networks

@article{Aolaritei2016ADV, title={A distributed voltage stability margin for power distribution networks}, author={Liviu Aolaritei and Saverio Bolognani and Florian Dorfler}, journal={arXiv: Optimization and Control}, year={2016} }

We consider the problem of characterizing and assessing the voltage stability in power distribution networks. Different from previous formulations, we consider the branch-flow parametrization of the power system state, which is particularly effective for radial networks. Our approach to the voltage stability problem is based on a local, approximate, yet highly accurate characterization of the determinant of the power flow Jacobian. Our determinant approximation allows us to construct a voltage…

## 15 Citations

Hierarchical and Distributed Monitoring of Voltage Stability in Distribution Networks

- Computer Science, MathematicsIEEE Transactions on Power Systems
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The proposed determinant approximation allows us to construct a voltage stability index that can be computed in a fully distributed or in a hierarchical fashion, resulting in a scalable approach to the assessment of steady-state voltage stability.

Real-Time Voltage-Stability Enhancement via Demand Response

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- 2019

Simulations on several standard transmission networks demonstrate that the proposed methodology improves the value of the SSV of the power flow Jacobian per time step while avoiding significant bound violations.

A Framework for Robust Long-Term Voltage Stability of Distribution Systems

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A fast and reliable tool for constructing inner approximations of LTVS regions in multidimensional injection space such that every point in the authors' constructed region is guaranteed to be solvable and shown to cover substantial fractions of the true voltage stability region is presented.

A Framework for Robust Steady-State Voltage Stability of Distribution Systems

- Computer Science, Mathematics
- 2017

A fast and reliable tool for constructinginner approximations of LTVS regions in multidimensional injection space such that every point in the authors' constructed region is guaranteed to be solvable.

DC power flow feasibility: Positive vs. negative loads

- Computer Science2017 IEEE 56th Annual Conference on Decision and Control (CDC)
- 2017

This work reformulates the theory for the case of Direct Current (DC) resistive power networks and considers the particular scenario where two different types of loads are present: classical passive loads, modeled as negative quantities, and active loads due to possible distributed generation, modeling as positive quantities.

Robustness Against Disturbances in Power Systems Under Frequency Constraints

- Mathematics, Computer ScienceIEEE Transactions on Control of Network Systems
- 2019

This paper develops an alternative approach to time-domain simulation-based assessment of the system robustness against uncertain and stochastic disturbances, which has its roots in the input–output stability analysis for Lur’e systems.

Multi point distributed intelligent power distribution technology

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- 2017

The verification of this model shows that the triangleload distribution model with distributed power is much better than the uniform load distribution model, and provides a theoretical basis for voltage regulation analysis.

Challenges of Future Distribution Systems with a Large Share of Variable Renewable Energy Sources – Review

- 2020

Power distribution systems with a high share of Variable Renewable Energy Sources (VRE) face problems due to the variability, uncertainty, and non-dispatchable nature of VRE. This paper reviews and…

Voltage stability assessment based on improved coupled single-port method

- Computer Science
- 2017

It is shown in this study that the impedance matching can happen either before or after the loadability limit point in certain cases, and it is proven that the inaccuracy of the conventional impedance matching condition is due to the time-varying equivalent parameters of a power system.

Control Grid Strategies for Reduction of Real and Reactive Line Losses in Radial Power Distribution System

- Computer Science2019 International Conference on Electrical, Communication, and Computer Engineering (ICECCE)
- 2019

Three control grid strategies including sharing of active load, VAR injection and changing of transformer taping have been presented in this paper in order to minimize both real & reactive line losses.

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