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Title: Synchronization of Lienard-Type Oscillators in Heterogenous Electrical Networks

Abstract

Motivated by potential applications for power-electronic converters in microgrids, we study the problem of global asymptotic synchronization of Lienard-type nonlinear oscillators in heterogenous LTI electrical networks with series R-L circuits modeling interconnections. By heterogeneous, we mean that the resistance-to-inductance ratios of the lines are not all the same. Building on our previous work, we derive sufficient conditions for global asymptotic synchronization by using a first-order filter on the outputs of the oscillators. Our approach leverages a coordinate transformation to a system that emphasizes signal differences and the use of passivity based arguments to establish synchronization of the network of oscillators asymptotically. The analysis subsumes and generalizes previous conditions that have been derived for Lienard oscillators in homogeneous electrical networks. Numerical simulations are provided to validate the results.

Authors:
 [1];  [2];  [3];  [2]
  1. National Renewable Energy Laboratory (NREL), Golden, CO (United States)
  2. University of Minnesota
  3. ETH Zurich
Publication Date:
Research Org.:
National Renewable Energy Lab. (NREL), Golden, CO (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE), Solar Energy Technologies Office (EE-4S)
OSTI Identifier:
1466184
Report Number(s):
NREL/CP-5D00-72236
DOE Contract Number:  
AC36-08GO28308
Resource Type:
Conference
Resource Relation:
Conference: Presented at the 2018 Indian Control Conference (ICC), 4-6 January 2018, Kanpur, India
Country of Publication:
United States
Language:
English
Subject:
24 POWER TRANSMISSION AND DISTRIBUTION; electric network analysis; electric network parameters; power converters; synchronization

Citation Formats

Johnson, Brian B, Sinha, Mohit, Dorfler, Florian, and Dhople, Sairaj V. Synchronization of Lienard-Type Oscillators in Heterogenous Electrical Networks. United States: N. p., 2018. Web. doi:10.1109/INDIANCC.2018.8307985.
Johnson, Brian B, Sinha, Mohit, Dorfler, Florian, & Dhople, Sairaj V. Synchronization of Lienard-Type Oscillators in Heterogenous Electrical Networks. United States. doi:10.1109/INDIANCC.2018.8307985.
Johnson, Brian B, Sinha, Mohit, Dorfler, Florian, and Dhople, Sairaj V. Thu . "Synchronization of Lienard-Type Oscillators in Heterogenous Electrical Networks". United States. doi:10.1109/INDIANCC.2018.8307985.
@article{osti_1466184,
title = {Synchronization of Lienard-Type Oscillators in Heterogenous Electrical Networks},
author = {Johnson, Brian B and Sinha, Mohit and Dorfler, Florian and Dhople, Sairaj V.},
abstractNote = {Motivated by potential applications for power-electronic converters in microgrids, we study the problem of global asymptotic synchronization of Lienard-type nonlinear oscillators in heterogenous LTI electrical networks with series R-L circuits modeling interconnections. By heterogeneous, we mean that the resistance-to-inductance ratios of the lines are not all the same. Building on our previous work, we derive sufficient conditions for global asymptotic synchronization by using a first-order filter on the outputs of the oscillators. Our approach leverages a coordinate transformation to a system that emphasizes signal differences and the use of passivity based arguments to establish synchronization of the network of oscillators asymptotically. The analysis subsumes and generalizes previous conditions that have been derived for Lienard oscillators in homogeneous electrical networks. Numerical simulations are provided to validate the results.},
doi = {10.1109/INDIANCC.2018.8307985},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Thu Mar 08 00:00:00 EST 2018},
month = {Thu Mar 08 00:00:00 EST 2018}
}

Conference:
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