| 谐波振荡器稳定性分析 |
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| 引用本文： | 彭烨.谐波振荡器稳定性分析[J].四川理工学院学报(自然科学版),2006,19(6):55-58. |
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| 作者姓名： | 彭烨 |
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| 作者单位： | 四川理工学院电子与信息工程系,四川,自贡,643000 |
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| 摘 要： | 提出一种基于非线性系统稳定性理论的谐波振荡器一般稳定性判别方法。在分析中,首先由谐波振荡器等效电路建立起振荡平衡方程,并利用Taylor级数和微分算子使方程得到简化。通过求解动态振荡方程在平衡点的Jacobian矩阵,根据其特征根可判定振荡器的稳定与否。分析结果表明:该方法具有理论严密、准确性高、适用范围广等特点,可指导工程应用。
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| 关 键 词： | 谐波振荡器 稳定性 Jacobian矩阵 |
| 文章编号： | 1673-1549(2006)06-0055-04 |
| 修稿时间： | 2006年4月11日 |
Stability Analysis of Harmonic Oscillators |
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| PENG Ye.Stability Analysis of Harmonic Oscillators[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2006,19(6):55-58. |
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| Authors: | PENG Ye |
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| Abstract: | A general method is proposed for the stability of a harmonic oscillator based on the stability theory of non-linear system.In the process of analysis,the harmonic oscillation equivalent circuit is used to establish oscillation equilibrium equations,which is simplified by using Taylor series and differential operators.The Jacobian matrices of dynamic oscillation equations are solved in the operating point,and its eigenvalues is used to determine the operating state of the circuit.The result shows this method has the features of rigorous theory,a high accuracy,a wide range of application and so on,and it is suitable for project application. |
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| Keywords: | harmonic oscillators stability Jacobian matrices |
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