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- Q5659248 subject Q5470782.
- Q5659248 subject Q7149786.
- Q5659248 subject Q7216224.
- Q5659248 abstract "Harmonic balance is a method used to calculate the steady-state response of nonlinear differential equations, and is mostly applied to nonlinear electrical circuits. It is a frequency domain method for calculating the steady state, as opposed to the various time-domain steady state methods. The name "harmonic balance" is descriptive of the method, which starts with Kirchhoff's Current Law written in the frequency domain and a chosen number of harmonics. A sinusoidal signal applied to a nonlinear component in a system will generate harmonics of the fundamental frequency. Effectively the method assumes the solution can be represented by a linear combination of sinusoids, then balances current and voltage sinusoids to satisfy Kirchhoff's law. The method is commonly used to simulate circuits which include nonlinear elements, and is most applicable to systems with feedback in which limit cycles occur.Microwave circuits were the original application for harmonic balance methods in electrical engineering. Microwave circuits were well-suited because, historically, microwave circuits consist of many linear components which can be directly represented in the frequency domain, plus a few nonlinear components. System sizes were typically small. For more general circuits, the method was considered impractical for all but these very small circuits until the mid-1990s, when Krylov subspace methods were applied to the problem.The application of preconditioned Krylov subspace methods allowed much larger systems to be solved, both in size of circuit and in numbers of harmonics. This made practical the present-day use of harmonic balance methods to analyze radio-frequency integrated circuits (RFICs).".
- Q5659248 wikiPageWikiLink Q1148098.
- Q5659248 wikiPageWikiLink Q1203451.
- Q5659248 wikiPageWikiLink Q132629.
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- Q5659248 wikiPageWikiLink Q374195.
- Q5659248 wikiPageWikiLink Q506041.
- Q5659248 wikiPageWikiLink Q5470782.
- Q5659248 wikiPageWikiLink Q5761206.
- Q5659248 wikiPageWikiLink Q660848.
- Q5659248 wikiPageWikiLink Q6801345.
- Q5659248 wikiPageWikiLink Q7149786.
- Q5659248 wikiPageWikiLink Q7216224.
- Q5659248 wikiPageWikiLink Q777879.
- Q5659248 wikiPageWikiLink Q786423.
- Q5659248 wikiPageWikiLink Q955889.
- Q5659248 comment "Harmonic balance is a method used to calculate the steady-state response of nonlinear differential equations, and is mostly applied to nonlinear electrical circuits. It is a frequency domain method for calculating the steady state, as opposed to the various time-domain steady state methods. The name "harmonic balance" is descriptive of the method, which starts with Kirchhoff's Current Law written in the frequency domain and a chosen number of harmonics.".
- Q5659248 label "Harmonic balance".