振荡电路产生条件#
$$
正反馈电路
$$- 平衡条件：$1-\dot{A}\dot{F}=0$
$$
\dot{A}\dot{F}=1，即
\left\{\begin{array}{l}
|\dot{A}\dot{F}|=1\\
\varphi_A+\varphi_f=2n\pi
\end{array}\right.
$$RC正弦波振荡电路#
$$
\dot{F}=\frac{1}{3+j(\omega RC-\frac{1}{\omega RC})}\\
R_1=R_2=R, C_1=C_2=C\\
\begin{array}{l}
振荡频率：f_o=\frac{1}{2\pi RC}\\
起振条件：\dot{A}>3，即\frac{R_f+R_1}{R_1}>3
\end{array}
$$LC正弦波振荡电路#
$$
RLC串联谐振分析即可\\
\omega_0=\frac{1}{\sqrt{LC}}\\
f_0=2\pi\frac{1}{\sqrt{LC}}\\
Q=\frac{\omega_0 L}{R}=\frac{1}{R}\sqrt{\frac{L}{C}}
$$矩形波发生电路#
$$
U_T=\pm U_z \cdot \frac{R_1}{R_1+R_2}\\
T=2T_k=2R_3C\ln\frac{2R_1+R_2}{R_2}
$$占空比可调矩形波发生电路#
$$
U_T=\pm U_z \cdot \frac{R_1}{R_1+R_2}\\
T_1=(R_3+R_{w2})C\ln \frac{2R_1+R_2}{R_2}\\
T_2=(R_3+R_{w1})C\ln \frac{2R_1+R_2}{R_2}
$$三角波发生电路#
$$
U_T=\pm U_z \cdot \frac{R_1}{R_1+R_2}\\
T=2T_k=2R_3C\ln\frac{2R_1+R_2}{R_2}\\
u_{om}=\frac{1}{C}\frac{U_z}{R}T_k
$$实用三角波发生电路#
$$
u_o\cdot \frac{R_2}{R_1+R_2} \pm U_z\cdot\frac{R_1}{R_1+R_2}=0\\
即U_T=\pm \frac{R_1}{R_2}U_z
$$
$$
T=2T_k\\
\underbrace{2\frac{R_1}{R_2}U_z}_{\Delta U}=\underbrace{\frac{1}{C}\frac{U_z}{R_3}T_k}_{电流积分}
$$锯齿波发生电路#
$$
u_o\cdot \frac{R_2}{R_1+R_2} \pm U_z\cdot\frac{R_1}{R_1+R_2}=0\\
即U_T=\pm \frac{R_1}{R_2}U_z
$$
$$
T=T_1+T_2\\
\underbrace{2\frac{R_1}{R_2}U_z}_{\Delta U}=\underbrace{\frac{1}{C}\frac{U_z}{R_3+R_{w1}}T_1}_{电流积分}\\
\ \\
\underbrace{2\frac{R_1}{R_2}U_z}_{\Delta U}=\underbrace{\frac{1}{C}\frac{U_z}{R_3+R_{w2}}T_2}_{电流积分}
$$
