About: Harmonic balance

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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 wh

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rdf:type	software yago:Artifact100021939 yago:Circuit103033362 yago:Device103183080 yago:ElectricalDevice103269401 yago:Instrumentality103575240 yago:Object100002684 yago:PhysicalEntity100001930 yago:Whole100003553 yago:WikicatElectronicCircuits
rdfs:label	Harmonic balance (en)
rdfs: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. 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 wh (en)
dcterms:subject	Electrical engineering Electronic circuits Electronic design
Wikipage page ID	2896399 (xsd:integer)
Wikipage revision ID	1058314140 (xsd:integer)
Link from a Wikipage to another Wikipage	Limit cycle Electrical circuit Sobolev space Krylov subspace Schauder basis Steady state (electronics) Galerkin method Feedback Nonlinear Hilbert basis (linear programming) Harmonics Hilbert space Jacobian matrix and determinant Electrical engineering Electronic circuits Electronic design Frequency domain Kirchhoff's current law Nonlinear differential equation Differential algebraic equation Square-integrable function Nodal analysis Frequency-domain Newton iteration Time-domain
Link from a Wikipage to an external page	http://opcoast.com/demos/agile/index.html http://www.sparselizard.org https://xyce.sandia.gov
sameAs	Harmonic balance Harmonic balance Harmonic balance Harmonic balance Harmonic balance
dbp:wikiPageUsesTemplate	dbt:Disputed
has 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). (en)
gold:hypernym	Method
prov:wasDerivedFrom	wikipedia-en:Harmonic_balance?oldid=1058314140&ns=0
page length (characters) of wiki page	10007 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Harmonic_balance
is Link from a Wikipage to another Wikipage of	Electronic oscillator PathWave Design Duffing equation Compact Software SPICE Steady state (electronics) Michel Nakhla SpectreRF Harmonic balance method
is Wikipage redirect of	Harmonic balance method
is known for of	Michel Nakhla
is known for of	Michel Nakhla
is foaf:primaryTopic of	wikipedia-en:Harmonic_balance

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