Synchronization of Lienard-Type Oscillators in Heterogenous Electrical Networks

Brian Johnson; Mohit Sinha; Florian Dorfler; Sairaj Dhople

doi:10.1109/INDIANCC.2018.8307985

Synchronization of Lienard-Type Oscillators in Heterogenous Electrical Networks

Brian Johnson, Mohit Sinha, Florian Dorfler, Sairaj Dhople

Power Systems Engineering

Research output: Contribution to conference › Paper

11 Scopus Citations

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.

Original language	American English
Pages	240-245
Number of pages	6
DOIs	https://doi.org/10.1109/INDIANCC.2018.8307985
State	Published - 2018
Event	2018 Indian Control Conference (ICC) - Kanpur, India Duration: 4 Jan 2018 → 6 Jan 2018

Conference

Conference	2018 Indian Control Conference (ICC)
City	Kanpur, India
Period	4/01/18 → 6/01/18

NREL Publication Number

NREL/CP-5D00-72236

Keywords

electric network analysis
electric network parameters
power converters
synchronization

Access to Document

10.1109/INDIANCC.2018.8307985

Cite this

@conference{54e16e6d67ab458a92bdcf9d52429bc9,

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.",

keywords = "electric network analysis, electric network parameters, power converters, synchronization",

author = "Brian Johnson and Mohit Sinha and Florian Dorfler and Sairaj Dhople",

year = "2018",

doi = "10.1109/INDIANCC.2018.8307985",

language = "American English",

pages = "240--245",

note = "2018 Indian Control Conference (ICC) ; Conference date: 04-01-2018 Through 06-01-2018",

}

TY - CONF

T1 - Synchronization of Lienard-Type Oscillators in Heterogenous Electrical Networks

AU - Johnson, Brian

AU - Sinha, Mohit

AU - Dorfler, Florian

AU - Dhople, Sairaj

PY - 2018

Y1 - 2018

N2 - 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.

AB - 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.

KW - electric network analysis

KW - electric network parameters

KW - power converters

KW - synchronization

U2 - 10.1109/INDIANCC.2018.8307985

DO - 10.1109/INDIANCC.2018.8307985

M3 - Paper

SP - 240

EP - 245

T2 - 2018 Indian Control Conference (ICC)

Y2 - 4 January 2018 through 6 January 2018

ER -

Synchronization of Lienard-Type Oscillators in Heterogenous Electrical Networks

Abstract

Conference

NREL Publication Number

Keywords

Access to Document

Fingerprint

Cite this