1. Fixed-Point Theorem-Based Voltage Stability Margin Estimation Techniques for Distribution Systems With Renewables
- Author
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Hung D. Nguyen, Yu Weng, Krishnamurthy Dvijotham, Suhyoun Yu, and School of Electrical and Electronic Engineering
- Subjects
Mathematical optimization ,Speedup ,business.industry ,Computer science ,Fixed-point Theorem ,Computation ,Fixed-point theorem ,Certificate ,Computer Science Applications ,Renewable energy ,Control and Systems Engineering ,Margin (machine learning) ,Robustness (computer science) ,Convergence (routing) ,Electrical and electronic engineering [Engineering] ,Distribution System ,Electrical and Electronic Engineering ,business ,Information Systems - Abstract
The future distribution systems expose to an unprecedented level of uncertainties due to renewable resources, nontraditional loads, aging infrastructure, etc., posing potential risks to secure operation of the system.This article proposes a new technique to estimate the voltage stability margin of the distribution systems with high penetration of renewables.Its convergence and robustness under complex and stressed working conditions are guaranteed in theory. This technique is handy for the operation as it features self-adaptive step size and is applicable to general system topology. It leverages a newly derived analytical solvability certificate based on the Kantorovich fixed-point theorem. A fast version of the proposed technique is duly proposed to speed up the computation up to 8 times while maintaining high accuracy, which lends itself to online and time-sensitive emergency tasks. Numerical simulations with various IEEE test feeders verify the performance of the techniques. Ministry of Education (MOE) Nanyang Technological University National Research Foundation (NRF) This work was supported in part by NTU SUG, MOE AcRF TIER 1- 2019-T1-001-119 (RG 79/19), and in part by EMA & NRFEMA-EP004-EKJGC-0003.
- Published
- 2022
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