Resistive Network Analysis

Tamaño: px

Comenzar la demostración a partir de la página:

Download "Resistive Network Analysis"

Valentín Piñeiro Santos
hace 6 años
Vistas:

1 Lernng ojectes esste Network Anlyss To Mster fe metods for systemtc nlyss of lner crcuts:. The Node Voltge nlyss method for computng the crcut rles of lner crcut 2. The Mesh Current nlyss method for computng the crcut rles of lner crcut 3. Apply the Prncple of Superposton 4. Compute Theenn nd Norton equlent crcuts for lner crcuts 5. Use the equlent crcut de to compute the Mxmum Power Trnsfer etween sorce nd lod 2 Node Voltges nd Brnch Currents 5 Brnch current formulton n Nodl nlyss c 2 d 3 e f g Identfy the rnch nd node oltges nd the loop nd mesh currents 3 4 Node Voltge Method Illustrton of Nodl nlyss By KCL : 2 3 = 0. c d = 0 3 d 2 c 5 6

2 Exmple Nodl Anlyss Exmple Nodl Anlyss cont. s s = s 4 s s 2 2 = 2 3 = = 4 7. Identfy the n (essentl) nodes, select the reference node 2. Defne the (n) node oltges s ndependent crcut rles 8 s = s (ndependent current source) 3 s 5 = 5 Expressng the rnch currents y node the oltged Exmple Nodl Anlyss cont. s s s s 2 = s ( 2 ) = ) 2 ( 2 ) = 0 4 ( 3 2 ) ( s 3 s ) = Flowchrt for the Node Voltge Anlyss method = s = s 5 Apply KCL t ech node 0 Mesh current nlyss Voltges round mesh 2 2

3 A twomesh crcut Assgnment of currents nd oltges round mesh Mesh : KVL requres tht 2 = 0, where =, 2 = ( 2 ) Assgnment of currents nd oltges round mesh 2 Mesh 2: KVL requres tht = 0 where 2 = ( 2 ), 3 = 2, 4 = Note how the oltge 2 cross esstor 2 hs dffernt polrty dependng on whether we re workng n mesh or mesh2 Flowchrt for the Mesh Current nlyss method 5 6 Fnd the mesh currents n the crcut Assume clockwse mesh currents nd mrk the oltge ref polrtes ccordng to the psse sgn conenton Note how the oltge 2 cross esstor 2 hs dffernt polrty dependng on whether we re workng n mesh or mesh

4 Mesh nlyss wth current sources The prncple of Superposton B2 B = B B B2 B2 The net current through s the sum of the nddul source currents: = B B Zerong oltge nd current sources. In order to set oltge source equl to zero, we replce t wth short crcut. Oneport S S S A crcut The sme crcut wth = 0 2. In order to set current source equl to zero, we replce t wth n open crcut. Lner S S A crcut The sme crcut wth S = Illustrton of Equlent crcut concept Illustrton of Theenn theorem T Lod T Lod Lod

Illustrton of Norton theorem Lod N N Lod Clculton of the Equlent esstnce seen y the lod 25 26 Equlent esstnce seen y the lod 3 An lternte method of determnng the Theenn

5 Illustrton of Norton theorem Lod N N Lod Clculton of the Equlent esstnce seen y the lod Equlent esstnce seen y the lod 3 An lternte method of determnng the Theenn esstnce Wht s the totl resstnce the current S wll encounter n flowng round the crcut? x S T S S T = Computng the Theenn Voltge A crcut nd ts Theenn equlent

6 The crcut emoe the lod L 2 L O C 3 32 Clculton of the Theenn Voltge Illustrton of the Norton equlent crcut 0 V Oneport SC OC OC N T = N SC Computton of Norton current Short crcut replcng the lod Equlence of Theenn nd Norton representtons T Oneport T N T SC 2 Thé enn equlent Norton equlent

7 Effect of Trnsformton Sucrcuts menle to source trnsformton Node SC or S or S S S 2 SC Node Theenn é sucrcuts Norton sucrcuts Mesurement of opencrcut oltge nd shortcrcut current Unknown An unknown connected to lod Unknown SC A rm Lod Power trnsfer etween source nd lod Prctcl source T L Lod 39 Network connected for mesurement of short crcut current Unknown OC Network connected for mesurement of open crcut oltge V rm 40 T L equlent Gen T nd T, wht lue of L wll llow for mxmum power trnsfer? L lodng effects Mxmum Power Trnsfer nt T T L Lod nt N T L 4 Lod 42 7

Documentos relacionados

Tema 3. Teoremas de la Teoría de Circuitos

Tema 3. Teoremas de la Teoría de Crcutos 3.1 Introduccón 3. Superposcón 3.3 Transformacón de fuentes 3.4 Teorema de Theenn 3.5 Teorema de Norton V Th Th L 3.6 Máxma transferenca de potenca José. Pereda,