BUT :
Le but de ce TP est de créer, à partir de deux tensions continues (+5V et -5V), trois signaux alternatifs (Carré, Triangle, Sinus) .
-Dans une première partie on donne une étude sur le AOP ainsi que des montages à base de ce dernier.
1. AMPLIFICATEUR OPERATIONNEL :
1.1. Présentation :
L'amplificateur opérationnel est un amplificateur ayant une entrée symétrique (
) et une sortie non symétrique (s). Son nom provient du fait qu'il permet, entre autre, de réaliser des opérations mathématiques sur des signaux analogiques. Le symbole de l'amplificateur opérationnel, avec ses sources d'alimentation V+ et V-, est représenté sur la figure ci-dessous.
![](data:image/png;base64,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)
Par conséquent, l'amplificateur opérationnel est un circuit intégré ayant au moins 6 pattes : la borne d'entrée dite "inverseuse" (-), celle "non inverseuse" (+), la sortie, la masse, V+ et V-.
V+ est positive (on la note "Vcc"). V- est négative (c'est souvent -Vcc).
1.2. Modélisation :
Les caractéristiques d'un amplificateur opérationnel parfait sont :
- le gain en tension à vide est infini,
- l'impédance d'entrée est infinie,
- l'impédance de sortie est nulle.
La tension de sortie s ne peut être supérieure à Vcc. C'est le phénomène de saturation.
Ceci signifie que si
est positive, s est égale à Vcc car A0 est infini.
A contrario, dès que
est négative, s est égale à -Vcc. Pour
= 0, la sortie n'est pas saturée (figure ci-dessous).
Notons aussi que, comme l'impédance d'entrée est infinie, ie est nul.
![](data:image/png;base64,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)
Dans la réalité, l'amplificateur opérationnel n'est évidemment pas parfait.
Si l'on prélève une fraction de la tension de sortie et qu'on la réinjecte sur l'entrée inverseuse, on voit que lorsque s augmente,
diminue.
Ce procédé qui permet d'éviter la saturation et donc de rester en régime linéaire, se nomme "contre réaction" en tension. Il permet en outre de diminuer le gain en tension ce qui se traduit par une augmentation de la bande passante.
Comme
est très petit, on utilise le gain en tension en boucle fermée G = s/e.
Il existe par ailleurs des amplificateurs opérationnels dits "à transimpédance" qui sont
dotés d'une contre réaction en courant : celle-ci permet d'obtenir une bande passante
très étendue et indépendante du gain en boucle fermée.
Enfin, la contre réaction modifie les impédances d'entrée et de sortie de l'amplificateur.
b) Fonctionnement saturé :
Réciproquement, si l'on réinjecte sur l'entrée non inverseuse une fraction de la tension de sortie, on favorise le phénomène de saturation. On utilise alors l'amplificateur opérationnel dans un régime de commutation: s = +Vcc ou –Vcc selon la valeur de
.
On dit qu'on se trouve en présence d'une "réaction positive".
Notons que le cas de l'amplificateur opérationnel en boucle ouverte peut se concevoir comme un cas particulier de fonctionnement saturé.
1.4. Montages de base :
Dans cette partie, on supposera l'amplificateur opérationnel comme parfait.
On présentera dans un tableau des différents fonctions et montages utilisant les AOP.
![](data:image/png;base64,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)
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)
![](data:image/png;base64,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)
Additionneur (ou "Sommateur")
inverseur
![](data:image/png;base64,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)
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)
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)
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)
2. Réalisation pratique de générateur de fonctions :
Schéma fonctionnel :
Le générateur se compose de trois fonctions. Elles sont reliées ensemble, mais peuvent fonctionner séparément, pourvu que l’on mette les bons signaux d’entrée.
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)
On se propose de suivre les différentes étapes techniques et les opérations à suivre pour réaliser le typon et fabriquer un circuit imprimé ainsi les précautions industrielles mises en jeu.
Les opérations nécessaires pour réaliser le typon sont :
Saisie de schéma : on schématise le montage en utilisant le logiciel Cirmaker. On effectue alors les connections nécessaires entre les différents composants qui sont présents dans la bibliothèque du logiciel ensuite on passe à l’opération suivante.
Simulation : Cette opération est nécessaire pour : voir la réponse du montage et tester le fonctionnement temporel et statique du montage. (Simulation sur logiciel et aussi pratique sur une plaque d’essai)
Routage : faire les liaisons physiques entre tous les composants électriques en utilisant notre logiciel Traxmakr. On doit :
Fixer le type de boîtier, Fixer les largeurs de pistes, Fixer le nombre de couche, Fixer les diamètres des trous, Fixer les distances minimales entre deux pistes.
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)
![](data:image/png;base64,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)
Remarque :
- Vous trouvez, en pièce jointe, avec cette manip le Datasheet du circuit UA741
- Pour le temps de simulation comme suit :
Le but de ce TP est de créer, à partir de deux tensions continues (+5V et -5V), trois signaux alternatifs (Carré, Triangle, Sinus) .
-Dans une première partie on donne une étude sur le AOP ainsi que des montages à base de ce dernier.
1. AMPLIFICATEUR OPERATIONNEL :
1.1. Présentation :
L'amplificateur opérationnel est un amplificateur ayant une entrée symétrique (
Par conséquent, l'amplificateur opérationnel est un circuit intégré ayant au moins 6 pattes : la borne d'entrée dite "inverseuse" (-), celle "non inverseuse" (+), la sortie, la masse, V+ et V-.
V+ est positive (on la note "Vcc"). V- est négative (c'est souvent -Vcc).
1.2. Modélisation :
Les caractéristiques d'un amplificateur opérationnel parfait sont :
- le gain en tension à vide est infini,
- l'impédance d'entrée est infinie,
- l'impédance de sortie est nulle.
La tension de sortie s ne peut être supérieure à Vcc. C'est le phénomène de saturation.
Ceci signifie que si
A contrario, dès que
Notons aussi que, comme l'impédance d'entrée est infinie, ie est nul.
Dans la réalité, l'amplificateur opérationnel n'est évidemment pas parfait.
1.3. Modes de fonctionnement :
a) Fonctionnement linéaire : Si l'on prélève une fraction de la tension de sortie et qu'on la réinjecte sur l'entrée inverseuse, on voit que lorsque s augmente,
Ce procédé qui permet d'éviter la saturation et donc de rester en régime linéaire, se nomme "contre réaction" en tension. Il permet en outre de diminuer le gain en tension ce qui se traduit par une augmentation de la bande passante.
Comme
Il existe par ailleurs des amplificateurs opérationnels dits "à transimpédance" qui sont
dotés d'une contre réaction en courant : celle-ci permet d'obtenir une bande passante
très étendue et indépendante du gain en boucle fermée.
Enfin, la contre réaction modifie les impédances d'entrée et de sortie de l'amplificateur.
b) Fonctionnement saturé :
Réciproquement, si l'on réinjecte sur l'entrée non inverseuse une fraction de la tension de sortie, on favorise le phénomène de saturation. On utilise alors l'amplificateur opérationnel dans un régime de commutation: s = +Vcc ou –Vcc selon la valeur de
On dit qu'on se trouve en présence d'une "réaction positive".
Notons que le cas de l'amplificateur opérationnel en boucle ouverte peut se concevoir comme un cas particulier de fonctionnement saturé.
Dans cette partie, on supposera l'amplificateur opérationnel comme parfait.
On présentera dans un tableau des différents fonctions et montages utilisant les AOP.
Additionneur (ou "Sommateur")
inverseur
Soustracteur (ou "Différentiel")
En saturé - Circuits de seuil
-- Comparateur analogique --
-- Comparateur analogique --
2. Réalisation pratique de générateur de fonctions :
Le montage a pour but de générer 3 types des signaux (carré, triangulaire et sinusoïdale)
Le générateur se compose de trois fonctions. Elles sont reliées ensemble, mais peuvent fonctionner séparément, pourvu que l’on mette les bons signaux d’entrée.
On se propose de suivre les différentes étapes techniques et les opérations à suivre pour réaliser le typon et fabriquer un circuit imprimé ainsi les précautions industrielles mises en jeu.
Les opérations nécessaires pour réaliser le typon sont :
Saisie de schéma : on schématise le montage en utilisant le logiciel Cirmaker. On effectue alors les connections nécessaires entre les différents composants qui sont présents dans la bibliothèque du logiciel ensuite on passe à l’opération suivante.
Simulation : Cette opération est nécessaire pour : voir la réponse du montage et tester le fonctionnement temporel et statique du montage. (Simulation sur logiciel et aussi pratique sur une plaque d’essai)
Routage : faire les liaisons physiques entre tous les composants électriques en utilisant notre logiciel Traxmakr. On doit :
Fixer le type de boîtier, Fixer les largeurs de pistes, Fixer le nombre de couche, Fixer les diamètres des trous, Fixer les distances minimales entre deux pistes.
Les schémas de 2 montages à réaliser dans ce TP sont les suivants :
Remarque :
- Vous trouvez, en pièce jointe, avec cette manip le Datasheet du circuit UA741
- Pour le temps de simulation comme suit :
- Stop time = 20ms
- Step time = 20us, Max time = 20us
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