Time frequency domain analysis of 20220721 integral link

Example 1

Input is $\sin (2t)$, The initial value is 0 The integral link of is $\frac{1}{s}$,simulink yes

Time domain analysis （ Blue is the input of integral link , Yellow is the output of integral link ）： Delay $\frac{\pi }{2}$, Amplitude scale $\frac{1}{2}$

Example 2

Input is $\sin (5t)$, The initial value is 0 The integral link of is $\frac{1}{s}$,simulink yes

Time domain analysis （ Blue is the input of integral link , Yellow is the output of integral link ）： Delay $\frac{\pi }{2}$, Amplitude scale $\frac{1}{5}$

Example 3

Input is $\sin (5t)$, The initial value is $-0.2$ The integral link of is $\frac{1}{s}$,simulink yes

Time domain analysis （ Blue is the input of integral link , Yellow is the output of integral link ）： Delay $\frac{\pi }{2}$, Amplitude scale $\frac{1}{5}$

Example 4

Input is $\sin (50t)$, The initial value is $-0.02$ The integral link of is $\frac{1}{s}$,simulink yes

Time domain analysis （ Blue is the input of integral link , Yellow is the output of integral link ）： Delay $\frac{\pi }{2}$, Amplitude scale $\frac{1}{50}$

frequency domain

Integral link $\frac{1}{s}$ Of Bode chart , With maximum frequency , The output amplitude of the integrating link tends to 0.