Question

A third order system of battery system is given by transfer function: G(s)=

200/s³ +24s² +88s+96
Determine the transfer function in frequency domain.

Answer 1

To determine the transfer function in the frequency domain for a third-order system, substitute s with jω in the transfer function equation.

Step-by-step explanation:

The transfer function of a third-order system is given by the equation G(s)= 200/s³ +24s² +88s+96, where s is the complex frequency variable. To determine the transfer function in the frequency domain, we substitute s = jω, where j is the imaginary unit and ω is the angular frequency.

Substituting s = jω into the transfer function equation, we get G(jω)= 200/(jω)³ +24(jω)² +88(jω)+96. Simplifying this equation, we have G(jω)= 200/(j³ω³) +24(j²ω²) +88(jω)+96.

This transfer function representation in the frequency domain allows us to analyze the system's response to sinusoidal inputs with different frequencies.