**Frequency Domain Analysis in Network Analysis:**

**Bode Plot in Network Analysis**** :** The Bode Plot in Network Analysis is a popular method to obtain the frequency response of the networks. It basically sketches the variations in MR and ΦR against the frequency ω but uses a logarithmic scale for ω, to accommodate large range of frequency within a small distance. Similar to the Frequency Domain Analysis in Network Analysis …

**Complex Locus of RLC Networks**** :** Complex Locus of RLC Networks – The network function G(s) or H(s) can be impedance function or an admittance function hence referred as immitance function. In the frequency domain G(jω) or H(jω) can be represented in rectangular form or polar form. For each ω, there is separate point defined in a complex plane by the rectangular form …

**Frequency Domain Analysis**** :** Frequency Domain Analysis – As we now already, the responses of the networks to the various time dependent inputs such as step, ramp, exponential etc. are studied. Let us now discuss the response by the network to a purely sinusoidal frequency dependent input. Consider a system with network function H(s). The input applied is purely sinusoidal and frequency dependent. where …

**Frequency Domain Network Function**** :** As the frequency domain network function is a complex function, it can be expressed mathematically in two ways i.e. using rectangular coordinates or using polar coordinates. In rectangular coordinates it can be written as, R(ω) = Re = Real part of network function X(ω) = Imj = Imaginary part of network function While in polar coordinates H(jω) can be written …

**Logarithmic Scale or Semi Log Graph Sheet**** :** To sketch the magnitude in dB and phase angle in degrees against Log ω, the logarithmic scale is used. This is available on semilog graph paper. In such paper the X-axis is divided into a logarithmic scale which is nonlinear one. While Y-axis is divided into linear scale and hence it is called semilog …

**Magnitude Plot and Phase Angle Plot**** :** Magnitude Plot and Phase Angle Plot – As mentioned earlier, the polar coordinate system is very commonly used to obtain the frequency response. The frequency ω is always an independent variable while the magnitude part and phase angle part are the two dependent variables. The graph of magnitude of the network function |H(jω)| i.e. MR, obtained …

**Specification from Bode Plot**** :** The important Specification from Bode Plot are, Gain cross-over frequency (ωgc) Phase cross-over frequency (ωpc) Gain margin (G.M.) Phase margin (P.M.) Gain Cross-over Frequency (ωgc): The frequency at which the magnitude of system function is unity i.e. 0 dB is called gain cross over frequency. So frequency at which the resultant magnitude plot intersects 0 dB line is called gain cross over frequency …