CHAPTER 5 Transient Analysis.

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Presentation transcript:

CHAPTER 5 Transient Analysis

Examples of transient response Figure 5.1 Figure 5.1 5-1

Figure 5.2, 5.3 Circuit with switched DC excitation A general model of the transient analysis problem Figure 5.2 Figure 5.3 Figure 5.2, 5.3 5-2

Circuit containing energy storage element Figure 5.5 Figure 5.6 Figure 5.5, 5.6 5-3

Second-order circuit of Example 5.2 Figure 5.7 Figure 5.8 Figure 5.7, 5.8 5-4

(a) Circuit for Example 5 (a) Circuit for Example 5.3; (b) same circuit a long time after the switch is closed Figure 5.9 Figure 5.9, 5.10 (a) Circuit for Example 5.4; (b) same circuit a long time before the switch is opened Figure 5.10 5-5

Figure 5.12 Figure 5.13 Figure 5.12, 5.13 5-6

First-order exponential decay and time constants Figure 5.15 Figure 5.15 5-7

Figure 5.17 Figure 5.17, 5.18 Figure 5.18 (a) Complete, transient, and steady-state responses of the circuit of Figure 5.17; (b) complete, natural, and forced responses of the circuit of Figure 5.17 5-8

Figure 5.30 Figure 5.32 Figure 5.30, 5.31, 5.32 Figure 5.31 5-9

Second-order circuits Figure 5.38 Figure 5.38 5-10

Response of switched second-order system with Ks = 1, ω n = 1, and ζ ranging from 0.2 to 4 Figure 5.42 Figure 5.42 5-11

Natural response of underdamped second-order system for α 1 = α 2 = 1; ζ = 1.5; ω n = 1 Figure 5.45 Figure 5.45 5-12

Natural response of a critically damped second-order system for α 1 = α 2 = 1; ζ = 1; ω n = 1 Figure 5.46 Figure 5.46 5-13

Natural response of an underdamped second-order system for α 1 = α 2 = 1; ζ = 0.2; ω n = 1 Figure 5.47 Figure 5.47 5-14

Figure 5.56 Figure 5.56 5-15

(a) First-order transient circuit (b) Second-order transient circuit, following opening of switch Figure 5.57a Figure 5.57b Figure 5.57 5-16

Transient current response of ignition current Figure 5.58 Figure 5.58 5-17

Secondary ignition voltage response Figure 5.59 Figure 5.59 5-18