ELE 302- Final Exam Guide - Comprehensive Notes for the exam ( 233 pages long!)

• School: Ryerson University
• Department: Electrical Engineering
• Course: ELE 302
• Professor: Matthew Kyan

Document Summary

6 time domain analysis: dynamic response part 1. A fi(cid:396)st o(cid:396)de(cid:396) s(cid:455)ste(cid:373) is des(cid:272)(cid:396)i(cid:271)ed (cid:271)(cid:455) the t(cid:396)a(cid:374)sfe(cid:396) fu(cid:374)(cid:272)tio(cid:374) i(cid:374) e(cid:395)uatio(cid:374) 6 (cid:1005): G(s) has only one pole, and no zeros. Its unit step response can be derived as sho(cid:449)(cid:374) i(cid:374) e(cid:395)uatio(cid:374) 6 (cid:1006): If the unit step input is used, the process dc gain and time constant can be evaluated directly from the graph, as shown in the following example. Consider a plot of the response of a certain unknown process, shown in. We (cid:449)ould like to de(cid:396)i(cid:448)e a (cid:373)odel fo(cid:396) this u(cid:374)k(cid:374)o(cid:449)(cid:374) s(cid:455)ste(cid:373), i. e. a transfer function that would give a response closest to that of our system, let"s call it (s). The response looks like an exponential rise with a (cid:374)o(cid:374) ze(cid:396)o slope at t=(cid:1004), a(cid:374)d is the(cid:396)efo(cid:396)e ide(cid:374)tified as the (cid:396)espo(cid:374)se of a fi(cid:396)st order process (system). As such, the response can be described by the following equation: y(t) kdc 1 e.