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Continuation method in multitone harmonic balance

2004 IEEE International Symposium on Circuits and Systems (IEEE Cat. No.04CH37512), 2004
Design of communication circuits often requires computing quasi-periodic steady state response to multiple inputs of different frequencies that may not always be harmonically related. Multitone harmonic balance method can be used to provide an accurate solution if the circuit is mildly nonlinear.
null Suihua Lu, A. Narayan, A. Mehrotra
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A new development of the harmonic balance method: The hybrid harmonic balance method

Analysis and Applications
The harmonic balance (HB) method is efficient in predicting the limit cycle oscillations for many dynamic systems including very high dimensional systems in fluid dynamics. Recently, some variations and extensions of the HB method have been developed and employed in the computation of large systems.
Liping Liu   +2 more
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A generalized harmonic balance method for EMTP initialization

IEEE Transactions on Power Delivery, 1995
The harmonic balance method is extended to the steady-state analysis of power system models that include complex nonlinearities and variable topology power electronics equipment as may be user-assembled from basic EMTP-TACS components. In applying the harmonic balance method, these devices are considered as black boxes and isolated from the linear part
G. Murere, S. Lefebvre, X.D. Do
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Extended harmonic balance method

IEE Proceedings - Circuits, Devices and Systems, 1994
A new approach for frequency domain analysis and periodic steady state analysis of nonlinear circuits is described. Beside the variables generally used in the harmonic balance method (HBM) this method also uses a reduced waveform as a function of time.
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The Method of Harmonic Balance

2011
This method may be used to determine the approximate periodic solutions of nonlinear differential equations. If a periodic solution does exist, it may be sought in the form of a Fourier series, whose coefficients are determined by requiring the series to satisfy the equation of motion.
Vasile Marinca, Nicolae Herisanu
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Harmonic Balance Finite Element Method

2016
The art of HBFEM is to use Computational Electromagnetics (CEMs) with harmonic balance theories, and CEM technologies (with IEEE Standard I597.1 and IEEE Standard 1597.2) to analyze or investigate nonlinear EM field and harmonic problems in electrical and electronic engineering and electrical power systems.
Lu, Junwei   +2 more
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Convergence analysis for the harmonic balance method

Nonlinear Analysis: Theory, Methods & Applications, 1993
The paper deals with the convergence analysis of the harmonic balance method appearing in nonlinear circuit analysis where the circuit splits into linear and nonlinear subcircuits. The linear convolution operator is evaluated in frequency and the nonlinear substitution operator in time.
Kelley, C. T., Mukundan, L.
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A novel adaptive harmonic balance method with an asymptotic harmonic selection

Applied Mathematics and Mechanics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, Rongzhou   +5 more
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Harmonic Analysis Method Based on Power Balance

Applied Mechanics and Materials, 2013
Nonlinear differential equations are sometimes found by using harmonic balance principle. If it is based on the complex power balance theory, some much more correct and rational results can be obtained. Non-autonomous circuits sometimes include two components, the forced and the self-excited oscillation, they must satisfy respectively the balancing ...
Bing Hua Huang   +3 more
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The Compressible Harmonic Balance Method for Turbomachinery

2018 AIAA Aerospace Sciences Meeting, 2018
Recent developments in the Harmonic Balance method for compressible turbomachinery simulations are presented in this paper. The Harmonic Balance method is based on the Fourier series decomposition for the solution variable. By doing this, the transformation from a single transient problem to a small number of coupled steady state snapshots is achieved.
Cvijetić, Gregor, Jasak, Hrvoje
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