<Principles of Circuit Analysis> 《 Principles of Circuit Analysis》 rsistance Originality Chapter 4: Network Analysis Chapter 4: Network Analysis Lecture 1 Simple and normal 2009-10-29 ways to get responses For given structure and element parameters in from stimulations network which has b branches, the voltage and current of each branch are unique and certain In Circuit Analysis, the solving of the voltage and E current for each branch from given structure and element parameter is called Network Analysis. Chapter 4: Fundamentals of Linear Network Analysis Linear network analysis 54-1 Fundamentals of network topology analysis 口Fom9amsC0)(z( 54-2 Methods for Linear Network Analysis Static state(DC) analysis, complex method, Laplace transform malysis Four I Loop current method lectures (Ch1)(Ch1)(Ch2) 2: Nodal point voltage method KCL(node), kvl(loop), vCr(branch)law 84-3 Large network' analysis method (Nodal analysis e just for knowledge) (Ch1) Fundamental Law (KVL, KCL, VCr) Focus in this lecture Attention: 1.reference directior 1. KCL=3 equations (branch direction) a Besides VCR, KCL, KCL, is there any 2.The direction voltage decreasing I2-l]1so simple methods for linear network If for one group of parameters for solving(numbernumber of ①2 +V1+V=0 branches), they satisfy the following conditions V+V,+V=0 The set is complete, and the variables are independent. 4 -They are Nearly 3. VCR =equations ndependent What we can get: the voltages and currents of all t hranches Num of branches b=6 白3+3+6=12 equations Loop current? Mesh current? Nodal voltage? unknown quantity =2b=12 suppositive北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 第 ？讲： 复习 北京大学 wwhu 北京大学 《Principles of Circuit Analysis》 Chapter 4: Network Analysis Lecture 1 2009-10-29 Simple and normal ways to get responses from stimulations Interest Focus Persistence Originality 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 第 ？讲： 复习 北京大学 wwhu 北京大学 《Principles of Circuit Analysis》 Chapter 4: Network Analysis Lecture 1 wwhu@2008-10-27 http://course.pku.edu.cn For given structure and element parameters in a network which has b branches, the voltage and current of each branch are unique and certain. In Circuit Analysis, the solving of the voltage and current for each branch from given structure and element parameter is called Network Analysis. Interest Focus Persistence Originality 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 §4-1 Fundamentals of network topology analysis §4-2 Methods for Linear Network Analysis 1. Loop current method 2. Nodal point voltage method §5-1 Network theorem Replacement theorem, Superposition theorem, Reciprocity theorem §4-3 Large network analysis method (Nodal analysis Æ just for knowledge) Chapter 4: Fundamentals of Linear Network Analysis Chapter 4: Fundamentals of Linear Network Analysis Four lectures 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 Linear network analysis ‰From state analysis: ‰From structure analysis KCL(node), KVL(loop), VCR(branch) law (Ch.1) Static state (DC) analysis, complex method, Laplace transform analysis (Ch.1) (Ch.1) (Ch.2) Review Z(jw) Z(s) Z=R 北京大学 北京大学 北京大学 北京大学 北京大学 北京大学 北京大学 北京大学 北京大学 北京大学 北京大学 北京大学 ① 1 2 3 4 5 6 ② ③ （4） Attention: 1.reference direction （branch direction） 2.The direction voltage decreasing （loop direction） -I1-I2-I4=0 I2-I3-I5=0 I1+I3-I6=0 -V4+V1+V6=0 -V4+V2+V5=0 -V5+V3+V6=0 2.KVL 1.KCL 3.VCR Vi =Ri Ii Num of branches b=6 unknown quantity =2b=12 =3 equations = 3 equations = 6 equations 3+3+6=12 equations Fundamental Law (KVL, KCL, VCR) Review 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 北京大学 wwhu 北京大学 wwhu 北京大学 wwhu 北京大学 Focus in this lecture ‰ Besides VCR，KCL，KCL, is there any simple methods for linear network analysis? If for one group of parameters for solving (number<number of branches), they satisfy the following conditions: The set is complete, and the variables are independent. Loop current? Mesh current? Nodal voltage? suppositive suppositive They are linearly independent . What we can get: the voltages and currents of all the branches Including virtual Including virtual voltages and currents