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- Harmonic_balance 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).".
- Harmonic_balance wikiPageID "2896399".
- Harmonic_balance wikiPageLength "5177".
- Harmonic_balance wikiPageOutDegree "17".
- Harmonic_balance wikiPageRevisionID "681835061".
- Harmonic_balance wikiPageWikiLink Category:Electrical_engineering.
- Harmonic_balance wikiPageWikiLink Category:Electronic_circuits.
- Harmonic_balance wikiPageWikiLink Category:Electronic_design.
- Harmonic_balance wikiPageWikiLink Electrical_circuit.
- Harmonic_balance wikiPageWikiLink Electrical_network.
- Harmonic_balance wikiPageWikiLink Feedback.
- Harmonic_balance wikiPageWikiLink Frequency-domain.
- Harmonic_balance wikiPageWikiLink Frequency_domain.
- Harmonic_balance wikiPageWikiLink Harmonic.
- Harmonic_balance wikiPageWikiLink Harmonics.
- Harmonic_balance wikiPageWikiLink Jacobian_matrix_and_determinant.
- Harmonic_balance wikiPageWikiLink Kirchhoffs_circuit_laws.
- Harmonic_balance wikiPageWikiLink Kirchhoffs_current_law.
- Harmonic_balance wikiPageWikiLink Limit_cycle.
- Harmonic_balance wikiPageWikiLink Newton_iteration.
- Harmonic_balance wikiPageWikiLink Newtons_method.
- Harmonic_balance wikiPageWikiLink Nodal_analysis.
- Harmonic_balance wikiPageWikiLink Nonlinear.
- Harmonic_balance wikiPageWikiLink Nonlinear_differential_equation.
- Harmonic_balance wikiPageWikiLink Nonlinear_system.
- Harmonic_balance wikiPageWikiLink Steady_state_(electronics).
- Harmonic_balance wikiPageWikiLink Time-domain.
- Harmonic_balance wikiPageWikiLink Time_domain.
- Harmonic_balance wikiPageWikiLinkText "Harmonic balance".
- Harmonic_balance wikiPageWikiLinkText "harmonic balance".
- Harmonic_balance hasPhotoCollection Harmonic_balance.
- Harmonic_balance subject Category:Electrical_engineering.
- Harmonic_balance subject Category:Electronic_circuits.
- Harmonic_balance subject Category:Electronic_design.
- Harmonic_balance hypernym Method.
- Harmonic_balance type Software.
- Harmonic_balance type Circuit.
- Harmonic_balance type Discipline.
- Harmonic_balance 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.".
- Harmonic_balance label "Harmonic balance".
- Harmonic_balance sameAs m.06ztvv4.
- Harmonic_balance sameAs Q5659248.
- Harmonic_balance sameAs Q5659248.
- Harmonic_balance wasDerivedFrom Harmonic_balance?oldid=681835061.
- Harmonic_balance isPrimaryTopicOf Harmonic_balance.