[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-657434-105":59,"doc-detail-657434-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","block-diagram-reduction-rules","Block Diagram Reduction Rules","","Block diagram reduction rules explain how to simplify complex signal-flow representations of control systems. The document defines system blocks, branches, summing points, take-off points, and signal flow, then motivates reduction to enable easier evaluation. It outlines advantages such as constructing transfer-function expressions, calculating overall closed-loop transfer functions with block diagram rules, and visualizing individual element functions. It also states limitations, including omission of physical construction and lack of energy source information, and provides step-by-step reduction procedures.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":40,"@type":76,"position":81},"https://docshare.wps.com/document/research-report/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/block-diagram-reduction-rules/657434/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/block-diagram-reduction-rules/657434.png","ImageObject",300,407,{"name":92,"@type":93},"percent12345","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-10-26",true,{"@type":102,"interactionType":103,"userInteractionCount":8},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is a block diagram in a control system?","Question",{"text":112,"@type":113},"A block diagram is a pictorial representation of the functions performed by each system component and shows the flow of signals between them.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Why is block diagram reduction needed?",{"text":117,"@type":113},"Reduction is needed because block diagrams for some systems become complex, and simplification is required to evaluate system performance and compute transfer functions.",{"name":119,"@type":110,"acceptedAnswer":120},"What rules are used when reducing block diagrams?",{"text":121,"@type":113},"The document summarizes rules such as combining cascade blocks, adding/subtracting parallel blocks based on summing point signals, and repositioning take-off and summing points before or after blocks; it also uses associative law and feedback-loop elimination.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},657434,1792979036,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":39,"category_name":40,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":8,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":129,"read_time":144},1099529851338,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Block Diagram Reduction Rules  \nDEFINITION:  \nA block diagram of a system is a pictorial representation of the functions performed by each component of the system and shows the flow of signals. In block diagram, the system consists of so many components. These components are linked together to perform a particular function. Each component can be represented with the help of individual block.  \nNEED FOR BLOCK DIAGRAM REDUCTION:  \nBlock diagrams of some of the systems turn out to be complex, such that the evaluation of their performance required simplification (or reduction) of block diagrams which is carried out by block diagram rearrangements.  \nADVANTAGES OF BLOCK DIAGRAM:  \n- Very simple to construct the block diagram for complicated systems.  \n- Individual as well as overall performance of the system can be studied by using transfer functions shown in the block diagram.  \n- Overall closed loop transfer function can be easily calculated using block diagram rules.  \n- The function of the individual element can be visualized from the block diagram.  \nDISADVANTAGES OF BLOCK DIAGRAM:  \n- Block diagram does not include any information about the physical construction of the system.  \n- Source of energy is generally not shown in the block diagram, so block diagram for a given system is not unique.  \nThe basic components of block diagram are block, branches, summing point, arrows.  \nBlock:  \nIt indicates the function of particular system. R(s) is the reference or controlling variable. G(s) is the transfer function of the particular system.C(s) is output or controlled variable.  \nSumming Point  \nTake Of Point  \nThe steps to reduce the block diagram  \n- Reduce the series blocks.  \n- Reduce the parallel blocks.  \n- Reduce minor feedback loops.  \n- As for as possible shift summing point to the left and take-off point to the right.  \n- Repeat the above steps till canonical form is obtained.  \nRules for reduction of block diagram  \nRule 1 : If the blocks are in cascade then  \nRule 2 : if the blocks are in parallel then, the blocks are added or subtracted depending on the summing point signal.  \nRule 3 : Moving the take-off point after the block  \nRule 4: moving the take-off point after the block  \nRule 5: moving the take-off point before the block  \nRule 6 : Moving summing point after the block  \nRule 7: Moving the summing point ahead (before) the blockff  \nEx: Using block diagram reduction techniques find C(s) / R(s) as in figure  \nbelow:  \nStep 1: eliminating feedback loop I  \nStep2: eliminating feedback loop II  \nEx: Using block diagram reduction technique find closed loop transfer function  \nC(s) / R(s) shown in figure below:  \nStep 1: Combine the blocks G1 &G2 which are in cascade and combine the blocks G2 &G3 which are in parallel  \nStep 2: Eliminate feedback loopI and combine the blocks (G1G4 / 1+ G1G4H1) &(G2 + G3) which are in parallel as shown  \n6 | P a g e  \nStep 3: eliminate feedback loop II  \nEx: Determine the transfer function C(s) / R(s) of the system shown in Figure below by block diagram reduction method.  \nStep:1 .  \nShifting the summing point S2 before the block G1 and shifting the take off point T2 after the block G4 .  \nStep:2 .  \nExchange the summing points and take off points using associative law and combining the series blocks we get  \nStep:3  \nEliminating inner feedback loops I, II  \nStep:4  \nCombine the blocks in series  \nStep 5:  \nEliminate the feedback loop III  \nH.W  \n1. Using block diagram reduction technique, find the transfer function from each input to the output C(s) for the system shown in figure below:  \n2 . Reduce the block diagram shown in fig.1.2.6.1. and obtain C(s) / R(s)","cbCaihLZcIaSb2GR","https://ap.wps.com/l/cbCaihLZcIaSb2GR","pdf",615568,13,"English","# Definition\n## Need for Block Diagram Reduction\n## Advantages and Disadvantages\n## Basic Components\n# Steps to Reduce the Block Diagram\n## Rules for Reduction\n# Examples and Practice Problems","[{\"question\":\"What is a block diagram in a control system?\",\"answer\":\"A block diagram is a pictorial representation of the functions performed by each system component and shows the flow of signals between them.\"},{\"question\":\"Why is block diagram reduction needed?\",\"answer\":\"Reduction is needed because block diagrams for some systems become complex, and simplification is required to evaluate system performance and compute transfer functions.\"},{\"question\":\"What rules are used when reducing block diagrams?\",\"answer\":\"The document summarizes rules such as combining cascade blocks, adding/subtracting parallel blocks based on summing point signals, and repositioning take-off and summing points before or after blocks; it also uses associative law and feedback-loop elimination.\"}]","Block Diagram Reduction Rules | PDF",33]