What are the advantages to using PhasorDomain analysis versu

What are the advantages to using Phasor-Domain analysis versus remaining in the time domain

Solution

1) with out the knowledge of the transsfer function,the frequency response of stable open loop system can be obtained experimentally.

2)these methods are easy to use for design of control systems and for finding absolute as well as relative stability of the system.

3) frequency response tests are simple and can be made accurately by use of readily available signal generatos and the pecise measuring instruments.

4) the apparatus required for obtaining frequency response is simple and inexpensive, and easy to use.

5) frequency response can be precisely applied to the system those do not have rational transfer function. time domain methods can be applied to such elements only after making such elements rational.

6) for difficult cases, such as conditionally stable systems, nyquist plot is probably the only method to analyse stability.