Question
Download Solution PDFयदि दी गई प्रणाली एक एकल ऋणात्मक प्रतिक्रिया प्रणाली से संयोजित है तो रैंप इनपुट के लिए बंद-लूप प्रणाली की स्थिर अवस्था त्रुटि _____ है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा-
एक खुले-लूप स्थानांतरण फलन G(s) के साथ एकल प्रतिक्रिया प्रणाली के लिए, स्थिर-अवस्था त्रुटियों को प्रणाली प्रकार की पहचान करने और संबंधित सूत्र का उपयोग करके प्राप्त किया जा सकता है:
प्रणाली प्रकार 0 के लिए:
प्रणाली प्रकार 1 के लिए :
प्रणाली प्रकार 2 के लिए :
खुले-लूप बोड आरेख से प्रणाली प्रकार की पहचान करके, स्थिर-अवस्था त्रुटि को आसानी से निम्नानुसार प्राप्त किया जा सकता है:
दिए गए बोड आरेख से प्रारंभिक ढलान =
तो मूल में मौजूद एक ध्रुव
चूंकि यह एक प्रकार 1 प्रणाली है इसलिए यह वास्तविक अक्ष को kv पर प्रतिच्छेद करेगी
Kv = 2
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