用非線性理論闡述正弦反饋振蕩器的頻率和幅度穩(wěn)定度
NONLINEAR THEORIES OF FREQUENCY AND AMPLITUDE STABILITY IN SINUSOIDAL FEEDBACK OSCILLATORS
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摘要: 首先,本文對用于近似正弦反饋振蕩器頻率穩(wěn)定度分析的線性理論作了簡要的回顧然后應(yīng)用描述函數(shù)法和判決方程法導(dǎo)出了非線性近似正弦反饋振蕩器的振蕩頻率和振蕩幅度穩(wěn)定度的新的表達(dá)式。最后對導(dǎo)致用描述函數(shù)法和判決方程法導(dǎo)出的振蕩頻率穩(wěn)定度不同的內(nèi)在原因進行了詳細(xì)的論述。Abstract: First, the linear theories of frequency stability in nearly sinusoidal feedback oseil-lators are simply reviewed. Then, the describing function method and determining equation approach are applied to obtain new expressions for the oscillation-frequency and the oscillation-amplitude stability of nonlinear nearly sinusoidal feedback oscillators. Finally, the differences of the expressions of oscillation-frequency stability derived from describing function method and determining equation approach are presented, and the relationship between descri- bing function method and determining equation approach is studied.
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R. E. Scuffle, P. M. Lin IEEE Trans on CAS, CAS-27(1980) 10, 882-892.[2]R. Wojtyna, A. Borys, IEEE Trans. on CAS, CAS-33 (1986) 4, 418-424.[3]A. Gelb, W. E. Vander Velde, Multiple-Input Describing Functions and Nonlinear System Design, New Yoac: McGraw-Hill, (1968).[4]L. O. Chua, Y. S. Tang, IEEE Trans, on CAS, CAS-29(1932) 3, 150-168.[5]張肅文,非線性振蕩引論,高等教育出版社,北京,1983年,第三章.[6]L. O. Chua, C. Y. Ng, Electron Circuit System, 3 (1979) 3, 165-185. -
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