# Chapter3 - CHAPTER 3 MODELS OF INDUSTRIAL CONTROL DEVICES...

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CHAPTER 3 MODELS OF INDUSTRIAL CONTROL DEVICES AND SYSTEMS 3.1 R G 2 G 1 Y G+G 34 H 2 HG 12 GG +G 23 4 ++ + Ys Rs () = GGG G GG G G H GHG 123 4 4 1 2 112 1 ( ) + + + 3.2 R Y G 1 G 2 G 4 + + H 2 G 3 (1– )H G 11 = G GGG GGH GH G 4 123 232 21 1 + - 3.3 = / PP P P 2 2 33 4 4 DDDD D +++ P 1 = G 1 G 2 ; P 2 = G 1 G 3 P 3 = G 4 H 2 G 1 G 2 ; P 4 = G 4 H 2 G 1 G 3 = 1 – (– G 1 G 3 H 1 H 2 G 1 G 2 H 1 H 2 ) 1 = 2 = 3 = 4 = 1

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SOLUTION MANUAL 13 Ys Rs () = ( ) 1 1 42 2 3 1 112 2 3 ++ GH G G G GHH G G R 11 Y G 1 G 2 G 4 –H 2 H 1 G 3 3.4 R G 2 G 1 Y G 3 1 +G H 32 H / G 3 3 H 1 W = 0 = M ( s ) = GGG GH GGGH 123 23 1231 1 +++ W G 3 Y HG 2 3 –( G 1 1 22 HG+H ) + + + Ws R = 0 = M W ( s )= G G GHG H 33 2 3 112 2 1 1 + +
14 CONTROL SYSTEMS: PRINCIPLES AND DESIGN 3.5 Y 1 Y 2 G 1 G 2 G 3 G 4 G 5 G 6 1 –1 –1 1 1 11 R 1 R 2 H 2 H 1 Y R R 1 1 0 2 = = P D D = GGG G G H G G H G G G 123 4 12 4 12451 124 1 1 () + -- - + + Y R R 1 2 0 1 = = GGHGGG 451123 D Y R R 2 1 0 2 = = GGGG H 14562 D ; Y R R 2 2 0 1 = = GG 456 1 + D 3.6 ++ e r e t K A K g i f i a R a K b Js K T w K t w s Es r = 50 10 375 s + . For E r ( s ) = 100/ s ,

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SOLUTION MANUAL 15 w ( s )= 100 50 10 375 · + ss (. ) w () t = 481.8 (1 – e –10.375 t ) 3.7 + q R q M q L K P K A K T sL + R f f Js + Bs 2 1 1 1 50 q q L R s s = 1 01 1 02 1 1 s ) ) ++ + 3.8 T M = K 1 e c + K M 2 & θ = & && & JB eq M eq M qq + K 2 = slope of the characteristic lines shown in Fig. P3.8b = 30 0 300 - - = – 0.01 K 1 = T e M c M & = 0 = 32 30 20 - - = 0.1 J eq = J M + NN J L 13 24 2 F H G I K J = 0.0032 B eq = B L 2 F H G I K J = 0.00001 q M c s Es = 10 032 1 ) + ; q L c s = 1 1 ) + 3.9 (i) J eq = J M + J L & & q q L M F H G I K J 2 = 0.6 B eq = B M + B L & & q q L M F H
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Chapter3 - CHAPTER 3 MODELS OF INDUSTRIAL CONTROL DEVICES...

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