电压反馈型Zeta斩波电路的稳定性研究

Study of stability of voltage-feedback-type Zeta chopping circuit

通过建立电压反馈型Zeta斩波电路连续运行模式下的状态空间平均模型,以线性化系统方程的雅克比矩阵的特征值分析了斩波电路在系统平衡点的稳定性.理论分析表明,电压反馈参数变化时系统会发生Hopf分岔,从而失去稳定性.数值仿真的结果与理论分析一致,证明了Zeta斩波电路中的分岔现象确实存在,验证了建模方法的有效性.

By means of setting up a space state average model of voltage-feedback-type Zeta chopping circuit in its continuous conduction mode(CCM),the stability of this circuit at system equilibrium point is analyzed with eigenvalues of Jacobian matrix of linearized system equation.The theoretical analysis shows that the Hopf bifurcation will occur with the system when the voltage feedback parameter changes,so that the system will be unstable.The numeric simulation result will be consistent with that of the theoretical analysis.It is proved in this article that the bifurcation phenomenon in Zeta chopping circuit does exist and the modeling method is valid.