sl 06 diagrama de blocos 2
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DIAGRAMA DE BLOCOS
Prof. José Batista
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Sistema de Malha Aberta
Atuador Planta
Entrada
Dosistema
SaídaDo
Sistema
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Sistema de Malha Fechada
Atuador Planta
sensor
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Sistema de Controle
Sistema
De
Controle
Sistema
De
Controle
objetivos resultados
entradas saídas
Independentemente do tipo de sistema de controle que temos ,os elementos
Básicos do sistema podem ser descritos por:
1. Objetivos de controle
2. Componentes do sistema de controle
3. Resultados
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Sistema de Controle Em geral ,o objetivo do sistema de controle é controlar as saídas e de alguma maneira
predeterminada ,através das entradas u e dos elementos do sistema de controle .As
entradas do sistema também são chamadas de sinais atuantes ,e as saídas de variáveis
controladas.
Os sistemas com mais de uma entrada e uma saída são chamados de sistemas
multivariáveis.
Sistema
De
Controle
Entrada 1
Entrada 2
Entrada 3
saída
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Exemplo de um sistema de controle emmalha fechada
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Exemplo de um sistema de controle emmalha fechada
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Função de Transferência
A função de transferência de um sistema linear invarianteno tempo é definida como sendo a relação entre a
transformada de Laplace da saída (função resposta) e a
transformada de Laplace da entrada (função excitação).
considerando nulas todas as condições iniciais .
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Função de Transferência
Função de excitação E(s)
Função
De
Transferência G(s)
Função Resposta C(s)
( )( )( )
( ) ( ). ( )
C sG s
E s
C s G s E s
Podemos então escrever a função de transferência como:
Potência E Rendimento Potência S
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Sistemas Elétricos
A modelagem de sistemas elétricos é baseada nas leis dastensões e das correntes de Kirchoff.
Os elementos envolvidos nos circuitos elétricos são:
resistores,indutores,capacitores,etc.
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DIAGRAMA DE BLOCOS
Representação ilustrada de cada um dos componentes de
um sistema e do fluxo de sinais correspondentes
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DIAGRAMA DE BLOCOS
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DIAGRAMA DE BLOCOS
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Sistemas Elétricos
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DIAGRAMA DE BLOCOS O diagrama de blocos possui vários itens na sua representação:
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DIAGRAMA DE BLOCOS
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DIAGRAMA DE BLOCOS
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Blocos em série(cascata)
Podemos ter dois ou mais blocos em série
(cascata),quando os mesmos estão no ramo direto então
a função de transferência passa a ser G(s) da resultante
do sistema ,isto é :
i
o
G(s)
( ) o
i
G s
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Blocos em série(cascata)
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Blocos em paralelo
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Blocos em paralelo
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Simplificação de Diagrama de Blocos
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Simplificação de Diagrama de Blocos
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Realimentação
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Realimentação
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Realimentação
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Realimentação
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SIMPLIFICAÇÃO DOS DIAGRAMAS DE BLOCOS
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SIMPLIFICAÇÃO DOS DIAGRAMAS DE BLOCOS
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SIMPLIFICAÇÃO DOS DIAGRAMAS DE BLOCOS
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SIMPLIFICAÇÃO DOS DIAGRAMAS DE BLOCOS
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PROCEDIMENTO
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SOLUÇÃO1) CASO
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SOLUÇÃO
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SOLUÇÃO
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SOLUÇÃO
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SOLUÇÃO
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SOLUÇÃO
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SOLUÇÃO
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SOLUÇÃO
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EXEMPLO
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ENTRADAS MULTIPLAS(PERTURBAÇÕES)
EXEMPLO :
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Simplificação de Diagrama de Blocos - Exercícios