三要素法#

$$ 将储能元件外电路进行戴维宁或诺顿等效\\ 全响应(直流激励):f(t)=f(\infty)+[f(0_+)-f(\infty)]e^{-\frac{t}{\tau}}\\ \tau=\left\{\begin{array}{l} R_{eq}\cdot C\\ \frac{L}{R_{eq}} \end{array}\right.\\ \ \\ 全响应(正弦激励):f(t)=f^*(t)+[f(0_+)-f^*(0_+)]e^{-\frac{t}{\tau}}\\ \left\{\begin{array}{l} f^*(t)为稳态时的响应(相量法求得)\\ f(0_+)、f^*(0_+)为瞬态(常量) \end{array}\right. $$ $$ 注:换路瞬间,U_C(0_-)=U_C(0_+),I_L(0_-)=I_C(0_+) $$