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Notas de Aula - Parte 2

Notas de Aula - Parte 2

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e, para simplificar a notação, retira-se a palavra <strong>de</strong>svio, ficando o mo<strong>de</strong>lo:ττ12dC1( t)+ C1 ( t) = K1C 0( t) + αK1C2( t)dtdC2( t)+ C2 ( t) = K2C1( t)dtsendo agora, as suas variáveis, variáveis <strong>de</strong>svio.Aplicando a transformada <strong>de</strong> Laplace ao mo<strong>de</strong>lo anterior tem-se:K1αK1C1( s)= C0( s)+ C( τ1s+1)( τ1s+ 1)K2C2(s) = C s(1( )τ s + 1)2E a representação em diagrama <strong>de</strong> blocos é:2( s)^C 0(s)1º CSTRK 1^C (s) 2τ 1s+1α K 1τ 1s+1++^C 1(s)2º CSTRK 2τ 2s+1^C (s) 2Manipulando-se algebricamente (os blocos ou as equações), obtém-se:C2( s)=K1K2s s K K C s 0( )( τ + 1)( τ + 1)−α1 2 1 2

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