Frequency-domain spectral balance using the arithmetic operator method

1989 ◽  
Vol 37 (11) ◽  
pp. 1681-1688 ◽  
Author(s):  
C.-R. Chang ◽  
M.B. Steer ◽  
G.W. Rhyne
Keyword(s):  
Frequency Domain ◽  
Operator Method ◽  
Spectral Balance ◽  
Arithmetic Operator

Mathematical foundations of frequency-domain modeling of nonlinear circuits and systems using the arithmetic operator method

2003 ◽  
Vol 13 (6) ◽  
pp. 473-495 ◽  
Author(s):  
Frank P. Hart ◽  
Daniel G. Stephenson ◽  
Chao-Ren Chang ◽  
Khaled Gharaibeh ◽  
Robert G. Johnson ◽  
...  
Keyword(s):  
Frequency Domain ◽  
Operator Method ◽  
Nonlinear Circuits ◽  
Domain Modeling ◽  
Mathematical Foundations ◽  
Arithmetic Operator

Comprehensively Efficient Analysis of Nonlinear Wire Scatterers Considering Lossy Ground and Multi-tone Excitations

2020 ◽  
Vol 35 (8) ◽  
pp. 878-886
Author(s):  
Amir Bahrami ◽  
Saeed Ostadzadeh
Keyword(s):  
Harmonic Balance ◽  
Operator Method ◽  
Nonlinear Loads ◽  
Approximate Methods ◽  
Strongly Nonlinear ◽  
Intelligent Water Drops Algorithm ◽  
Water Drops ◽  
Two Stages ◽  
Port Structures ◽  
Arithmetic Operator

In this paper based on intelligent water drops algorithm (IWD), comprehensively nonlinear analysis of nonlinearly loaded wire scatterers are carried out. The analyses involve two stages. First, the problem is modeled as a nonlinear multi-port equivalent circuit and it is then reformulated into an optimization problem which is solved by the IWD. The simulation results are compared with harmonic balance (HB), arithmetic operator method (AOM), approximate methods and experiment. Analysis of the problem under strongly nonlinear loads, presence of lossy ground, multi-port structures, and multi-ton excitations are included to cover all the complex aspects. In one hand, the proposed modeling approach is in excellent agreement with other conventional techniques. On the other hand, the run time is considerably reduced.

scholarly journals SIMULATION OF NONLINEAR CIRCUITS BY SPECTRAL BALANCE METHOD USING TENSORS

2019 ◽  
Vol 2019 (2) ◽  
pp. 4-10
Author(s):  
Илья Никитов ◽  
Ilya Nikitov ◽  
Иван Мельник ◽  
Ivan Melnik ◽  
Евгений Гаврилов ◽  
...  
Keyword(s):  
Frequency Domain ◽  
Harmonic Balance Method ◽  
Tensor Decomposition ◽  
Simulation Software ◽  
Nonlinear Circuits ◽  
Balance Method ◽  
Cad Systems ◽  
Current State ◽  
Spectral Balance ◽  
Work Done

The purpose of the article is to present the new method for electronic circuits simulation in frequency domain. The paper consists of an introduction, five sections, a conclusion and list of references. The first section is considered with the current state of the spectral balance method, which is a special versions of traditional harmonic balance method. In this method the linear and nonlinear parts of circuits are modeled in frequency domain only. The second section is devoted to the development of a spectra calculation method in nonlinear elements. The nonlinear elements into circuits simulation software usually described in time domain, so we need to develop the algorithm for calculation the spectra in nonlinear elements in frequency domain. In the third section the review of methods for tensor usage at simulation tasks into electronic CAD systems are discussed. Into the section four the methods of tensor decomposition are described. The canonical decomposition, Tacker decomposition and tensor train decomposition are discussed. The possible version of tensors usage in the tasks of spectral balance method for electronic CAD systems is presented in the section five. The conclusion contains the results of the work done, practical value and prospects are indicated.

Correction to "The analysis of slug tests in the frequency domain" (WRR 25(11), pp. 2388-2396

1990 ◽  
Vol 26 (8) ◽  
pp. 1863-1863
Author(s):  
Paul Marschall ◽  
Baldur Barczewski
Keyword(s):  
Frequency Domain ◽  
Slug Tests
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