{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,24]],"date-time":"2023-10-24T10:12:36Z","timestamp":1698142356100},"reference-count":7,"publisher":"Wiley","issue":"5","license":[{"start":{"date-parts":[[2006,12,19]],"date-time":"2006-12-19T00:00:00Z","timestamp":1166486400000},"content-version":"vor","delay-in-days":4492,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Circuit Theory &amp; Apps"],"published-print":{"date-parts":[[1994,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>This paper presents a quantitative analysis of the Wien bridge oscillator based on a piecewise\u2010linear approximation of the op\u2010amp characteristic. Usually the circuit parameters are chosen in such a way that the linearized circuit has a pair of complex conjugate natural frequencies which lie slightly to the right of the jw\u2010axis. the frequency of oscillation is assumed to coincide with the value j\u03c9<jats:sub>0<\/jats:sub> at which the poles cross the j\u03c9\u2010axis. However, this simplified approach is unable to predict the true frequency of oscillation and the amount of distortion. the aim of the present analysis is to determine the exact waveform, frequency and spectral content corresponding to the steady state behaviour. the phase plane is partitioned into three regions, in each of which the vector field is linear. the limit cycle corresponding to the steady state oscillation is reconstructed by using the Poincar\u00e9 map method. Expressions for the frequency of oscillation and the Fourier coefficients are given which depend on a critical parameter representing the voltage gain of the amplifier.<\/jats:p>","DOI":"10.1002\/cta.4490220503","type":"journal-article","created":{"date-parts":[[2007,7,2]],"date-time":"2007-07-02T11:23:17Z","timestamp":1183375397000},"page":"341-356","source":"Crossref","is-referenced-by-count":1,"title":["Piecewise\u2010linear analysis of the Wien Bridge Oscillator"],"prefix":"10.1002","volume":"22","author":[{"given":"R.","family":"Perfetti","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2006,12,19]]},"reference":[{"key":"e_1_2_1_2_2","volume-title":"Microelectronics","author":"Millman J.","year":"1988"},{"key":"e_1_2_1_3_2","volume-title":"Linear and Nonlinear Circuits","author":"Chua L. O.","year":"1987"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1976.1084228"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1979.1084636"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1002\/cta.4490210102"},{"key":"e_1_2_1_7_2","volume-title":"Introduction to Nonlinear Network Theory","author":"Chua L. O.","year":"1969"},{"key":"e_1_2_1_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-3486-9"}],"container-title":["International Journal of Circuit Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fcta.4490220503","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/cta.4490220503","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,23]],"date-time":"2023-10-23T23:26:45Z","timestamp":1698103605000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/cta.4490220503"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1994,9]]},"references-count":7,"journal-issue":{"issue":"5","published-print":{"date-parts":[[1994,9]]}},"alternative-id":["10.1002\/cta.4490220503"],"URL":"https:\/\/doi.org\/10.1002\/cta.4490220503","archive":["Portico"],"relation":{},"ISSN":["0098-9886","1097-007X"],"issn-type":[{"value":"0098-9886","type":"print"},{"value":"1097-007X","type":"electronic"}],"subject":[],"published":{"date-parts":[[1994,9]]}}}