THE NEW ALGORITHM OF SOLVING HARMONIC BALANCE EQUATIONS

CAD/EDA, MODELING AND SIMULATION IN MODERN ELECTRONICS: COLLECTION OF SCIENTIFIC PAPERS OF THE III INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ◽

10.30987/conferencearticle_5e0282123a4fa0.04742815 ◽

2019 ◽

Author(s):

Vladimir Lantsov ◽

A. Papulina

Keyword(s):

Harmonic Balance ◽

Model Order Reduction ◽

Order Reduction ◽

Balance Equations ◽

Model Order ◽

Cad Systems ◽

Computational Costs ◽

Reduction Methods ◽

Model Equations

The new algorithm of solving harmonic balance equations which used in electronic CAD systems is presented. The new algorithm is based on implementation to harmonic balance equations the ideas of model order reduction methods. This algorithm allows significantly reduce the size of memory for storing of model equations and reduce of computational costs.

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A New Algorithm for Solving of Harmonic Balance Equations by Using the Model Order Reduction Method

2020 Ural Symposium on Biomedical Engineering, Radioelectronics and Information Technology (USBEREIT) ◽

10.1109/usbereit48449.2020.9117768 ◽

2020 ◽

Author(s):

Vladimir Lantsov

Keyword(s):

Harmonic Balance ◽

Model Order Reduction ◽

Reduction Method ◽

Order Reduction ◽

Balance Equations ◽

Model Order ◽

Order Reduction Method

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Model order reduction methods for geometrically nonlinear structures: a review of nonlinear techniques

Nonlinear Dynamics ◽

10.1007/s11071-021-06693-9 ◽

2021 ◽

Author(s):

Cyril Touzé ◽

Alessandra Vizzaccaro ◽

Olivier Thomas

Keyword(s):

Model Order Reduction ◽

Order Reduction ◽

Geometrically Nonlinear ◽

Nonlinear Structures ◽

Model Order ◽

Reduction Methods

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New Implementation of Discrete-Time Fractional-Order PI Controller by Use of Model Order Reduction Methods

Advances in Intelligent Systems and Computing - Advanced, Contemporary Control ◽

10.1007/978-3-030-50936-1_100 ◽

2020 ◽

pp. 1199-1209

Author(s):

Rafał Stanisławski ◽

Marek Rydel ◽

Krzysztof J. Latawiec

Keyword(s):

Fractional Order ◽

Discrete Time ◽

Model Order Reduction ◽

Order Reduction ◽

Pi Controller ◽

Model Order ◽

Reduction Methods ◽

Fractional Order Pi Controller

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Comparison of model order reduction methods for optimal sensor placement for thermo-elastic models

Engineering Optimization ◽

10.1080/0305215x.2018.1469133 ◽

2018 ◽

Vol 51 (3) ◽

pp. 465-483 ◽

Cited By ~ 1

Author(s):

Peter Benner ◽

Roland Herzog ◽

Norman Lang ◽

Ilka Riedel ◽

Jens Saak

Keyword(s):

Model Order Reduction ◽

Sensor Placement ◽

Order Reduction ◽

Optimal Sensor Placement ◽

Model Order ◽

Reduction Methods

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MS 26 MINISYMPOSIUM: PARAMETERIZED MODEL ORDER REDUCTION METHODS FOR COMPLEX MULTIDIMENSIONAL SYSTEMS

Mathematics in Industry - Progress in Industrial Mathematics at ECMI 2014 ◽

10.1007/978-3-319-23413-7_88 ◽

2016 ◽

pp. 643-645

Author(s):

Giovanni Russo ◽

Vincenzo Capasso ◽

Giuseppe Nicosia ◽

Vittorio Romano

Keyword(s):

Model Order Reduction ◽

Order Reduction ◽

Multidimensional Systems ◽

Model Order ◽

Reduction Methods ◽

Parameterized Model ◽

Parameterized Model Order Reduction

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Randomized nonlinear model order reduction methods for large dynamical problems with explicit time integration

PAMM ◽

10.1002/pamm.201800252 ◽

2018 ◽

Vol 18 (1) ◽

Author(s):

C. Bach ◽

J. Bartol ◽

D. Ceglia ◽

L. Song ◽

F. Duddeck

Keyword(s):

Nonlinear Model ◽

Model Order Reduction ◽

Time Integration ◽

Order Reduction ◽

Model Order ◽

Explicit Time Integration ◽

Reduction Methods

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Recent Advances in Computational Methods for Microsystems

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.745.13 ◽

2013 ◽

Vol 745 ◽

pp. 13-25 ◽

Cited By ~ 4

Author(s):

Alberto Corigliano ◽

Martino Dossi ◽

Stefano Mariani

Keyword(s):

Model Order Reduction ◽

Computing Time ◽

Order Reduction ◽

Orthogonal Decomposition ◽

Coupled Problems ◽

Strong Reduction ◽

Model Order ◽

Solution Strategies ◽

Reduction Methods ◽

Proper Orthogonal

An algorithm, which combines the use of Domain Decomposition and Model Order Reduction methods based on Proper Orthogonal Decomposition, is proposed. The algorithm allows for the efficient handling of electro-mechanical coupled problems in MEMS, with a strong reduction of computing time with respect to standard monolithic or staggered solution strategies. Examples of coupled electro-mechanical problems, concerning a vibrating beam subject to variable electrostatic forces, are presented and discussed.

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