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314 3. Reference Manual Show the root locus. In[6]:= RootLocusPlot[rloc, LinearRegionLimit −> Infinity, PlotRange −> 5.0*^6] Cbc$Q$T5 = 5.000e-12 .. 5.000e-11 (0% .. 100%) 6 4. 10 Im s Poles 0% 6 2. 10 6 6 -4. 10 -2. 10 6 -2. 10 6 2. 10 6 4. 10 Re s 100% Zeros 0% 6 -4. 10 100% Out[6]= Graphics 3.8.7 LREigenpair LREigenpair[A, B, theta0] LREigenpair[dae, theta0] solves the GEP described by the matrix pencil A B for an eigenvalue Λ near the initial guess theta0 where A and B must be real-valued square matrices of equal dimensions solves the GEP defined by the coefficient matrix of the AC DAEObject dae for an eigenvalue Λ near theta0 Command structure of LREigenpair. As an alternative to the QZ algorithm, Analog Insydes provides the function LREigenpair for solving GEPs iteratively using a variant of the Jacobi orthogonal correction method. This approach is more efficient and reliable than the QZ algorithm for large GEPs when only one single eigenvalue is sought. In addition to the eigenvalue, LREigenpair also yields the corresponding left and right eigenvectors. The argument dae has to be an AC DAEObject written in matrix form (see CircuitEquations in Section 3.5.1). If the target eigenvalue is complex, the initial guess theta0 must also be a complex number. LREigenpair returns a list of the form {{lambda, v, u, r v , r u , iter}}, where lambda, v, and u denote the calculated eigenvalue and eigenvectors, r v and r u the corresponding L norms of the residual vectors
3.8 Pole/Zero Analysis 315 r v ⩵ v H A ΛB r u ⩵ A ΛBu The last return value, iter, denotes the number of iterations needed to compute lambda with the desired accuracy. LREigenpair has the following options: option name default value AccuracyGoal Round[0.5*$MachinePrecision] the accuracy goal for the sought eigenvalue DesignPoint Automatic the design-point values for the coefficients of dae FrequencyVariable Automatic the name of the variable that represents the complex frequency in dae InitialGuess Automatic initial guesses for the left and right eigenvectors MaxIterations 60 the maximum number of iterations for the Jacobi orthogonal correction method Options for LREigenpair, Part I.
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Authors: Dr. rer. nat. Jochen Broz
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2 Part 3. Reference Manual 3.1 Netl
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A Short Introduction 1.1 Welcome to
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1.1 Welcome to Analog Insydes 7 Net
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1.2 Getting Started 9 (Section 3.6.
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1.2 Getting Started 11 CancelTerms
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1.2 Getting Started 13 Analysis Tas
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1.2 Getting Started 15 this topic i
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1.2 Getting Started 17 In[10]:= ref
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1.2 Getting Started 19 In[16]:= op7
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1.2 Getting Started 21 The numerica
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1.2 Getting Started 23 comparison o
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1.3 What’s New 25 1.3 What’s Ne
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1.3 What’s New 27 Graphics Functi
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1.3 What’s New 29 Modeling Langua
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1.3 What’s New 31 NDAESolve, NDAE
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34 2. Tutorial 2.1 Preface 2.1.1 Ho
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36 2. Tutorial The Netlist command
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38 2. Tutorial {V0, {1, 2}, V0} Hen
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40 2. Tutorial Controlled Sources:
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42 2. Tutorial In[9]:= vdeqs = Circ
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44 2. Tutorial the Symbolic option
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46 2. Tutorial In[16]:= cccseqs2 =
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48 2. Tutorial 2.3 Circuits and Sub
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50 2. Tutorial Model[ Name −> sub
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52 2. Tutorial Connections to subci
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54 2. Tutorial In[2]:= commonEmitte
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56 2. Tutorial In[5]:= flatAmpDyn =
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58 2. Tutorial 2.3.5 Subcircuit Par
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60 2. Tutorial In[13]:= darlington
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62 2. Tutorial same global symbols
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64 2. Tutorial appropriate Scope ar
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66 2. Tutorial B C E RB gm*VBE E Fi
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68 2. Tutorial In[27]:= Circuit[ Mo
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70 2. Tutorial An advanced applicat
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72 2. Tutorial 2.4 Setting up and S
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74 2. Tutorial To illustrate equati
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76 2. Tutorial 2.4.3 Circuit Equati
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78 2. Tutorial In[10]:= CircuitEqua
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80 2. Tutorial 2.4.4 Additional Opt
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82 2. Tutorial In[18]:= rlc2eqs = C
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84 2. Tutorial In[3]:= BodePlot[H1[
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86 2. Tutorial In[6]:= H12a[s_] :=
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88 2. Tutorial In[11]:= NicholPlot[
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90 2. Tutorial In[14]:= RootLocusPl
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92 2. Tutorial 2.6 Modeling and Ana
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94 2. Tutorial Model[ Name −> Dio
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96 2. Tutorial 2.6.3 Referencing Be
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98 2. Tutorial In[8]:= dnwsol = Com
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100 2. Tutorial the base current, i
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102 2. Tutorial Similarly, we defin
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104 2. Tutorial In[14]:= mnaeqsfa =
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106 2. Tutorial 2.7 Time-Domain Ana
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108 2. Tutorial Let’s use NDAESol
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110 2. Tutorial The influence of th
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112 2. Tutorial In[11]:= diffAmp =
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114 2. Tutorial Additionally, we fo
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116 2. Tutorial Then, we run NDAESo
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118 2. Tutorial 2.7.3 Flow of Trans
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120 2. Tutorial input of circuit ne
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122 2. Tutorial difference between
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124 2. Tutorial Vic 1 2 L1 C1 R1 Io
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126 2. Tutorial In[30]:= oscillator
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128 2. Tutorial In[36]:= TransientP
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130 2. Tutorial 2.8 Linear Symbolic
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132 2. Tutorial Even for this very
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134 2. Tutorial than R3 and R4: R1
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136 2. Tutorial Let’s apply solut
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138 2. Tutorial at all. This will b
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140 2. Tutorial s ⩵ Π I f . Fi
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142 2. Tutorial In[33]:= voutsimp3
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144 2. Tutorial of all terms by lea
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146 2. Tutorial D G S VGS gm*VGS GD
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148 2. Tutorial 6 VDD M3 M4 5 1 M1
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150 2. Tutorial Ys ⩵ Hs Xs Hence
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152 2. Tutorial 2.9.3 Device Mismat
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154 2. Tutorial In[17]:= cmgSAG = A
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156 2. Tutorial Replacing the load
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158 2. Tutorial Stimulus Sources fo
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160 2. Tutorial In[27]:= twoportmna
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162 2. Tutorial Let’s examine the
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164 2. Tutorial In[45]:= BodePlot[r
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166 2. Tutorial Finally, we verify
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168 2. Tutorial each input symbol (
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170 2. Tutorial As a first step we
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172 2. Tutorial In[8]:= mnaFull = C
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174 2. Tutorial In[16]:= Max @ Map[
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176 2. Tutorial In[24]:= Statistics
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178 2. Tutorial the equations for t
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180 3. Reference Manual 3.1 Netlist
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182 3. Reference Manual A complex c
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184 3. Reference Manual This netlis
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186 3. Reference Manual You may not
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188 3. Reference Manual If no value
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190 3. Reference Manual A model ref
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192 3. Reference Manual 3.2 Subcirc
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194 3. Reference Manual Name −> "
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196 3. Reference Manual Ports Ports
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198 3. Reference Manual Any symbol
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200 3. Reference Manual calculated
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202 3. Reference Manual Definition
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204 3. Reference Manual (ODEs). In
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206 3. Reference Manual With the In
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208 3. Reference Manual A circuit w
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210 3. Reference Manual This code d
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212 3. Reference Manual Simulate th
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214 3. Reference Manual option name
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216 3. Reference Manual 3.3.3 FindM
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218 3. Reference Manual 3.3.6 LoadM
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222 3. Reference Manual Remove the
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226 3. Reference Manual When HoldMo
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228 3. Reference Manual List the Mo
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234 3. Reference Manual Controlling
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236 3. Reference Manual Value Symbo
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238 3. Reference Manual If the Inde
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240 3. Reference Manual Value takes
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242 3. Reference Manual Set up a sy
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244 3. Reference Manual Set up a sy
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246 3. Reference Manual Now we use
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248 3. Reference Manual Replace all
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250 3. Reference Manual 3.5.2 ACEqu
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252 3. Reference Manual Show equati
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254 3. Reference Manual Define netl
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256 3. Reference Manual Extract val
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258 3. Reference Manual 3.6.1 AddEl
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260 3. Reference Manual Examples Lo
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262 3. Reference Manual Display net
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364 3. Reference Manual Generate a
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366 3. Reference Manual 3.10 Interf
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368 3. Reference Manual Options Des
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370 3. Reference Manual Read and co
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372 3. Reference Manual Independent
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374 3. Reference Manual Linear resi
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376 3. Reference Manual ReadNetlist
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378 3. Reference Manual See also: W
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380 3. Reference Manual Read simula
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382 3. Reference Manual DataLabels
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386 3. Reference Manual Generate th
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388 3. Reference Manual Define an A
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390 3. Reference Manual The fourth
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392 3. Reference Manual Simplify th
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396 3. Reference Manual be a number
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400 3. Reference Manual Plot the ex
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404 3. Reference Manual The rules m
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406 3. Reference Manual An example
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408 3. Reference Manual V and V a
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412 3. Reference Manual Show compre
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414 3. Reference Manual Clusterboun
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416 3. Reference Manual Examples Lo
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418 3. Reference Manual As mentione
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420 3. Reference Manual 3.13 Miscel
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422 3. Reference Manual The main pu
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424 3. Reference Manual ThicknessFu
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426 3. Reference Manual 3.13.3 Math
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428 3. Reference Manual View global
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430 3. Reference Manual Use full-pr
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432 3. Reference Manual wish to run
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434 3. Reference Manual 3.15 The An
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436 3. Reference Manual 3.15.3 Rele
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Appendix 4.1 Stimuli Sources . . .
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4.1 Stimuli Sources 441 argument na
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4.1 Stimuli Sources 443 4.1.3 Pulse
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4.1 Stimuli Sources 445 Examples Lo
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4.1 Stimuli Sources 447 A CheckedSi
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4.2 Netlist Elements 449 element ty
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4.2 Netlist Elements 451 Modified n
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4.2 Netlist Elements 453 4.2.9 Curr
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4.2 Netlist Elements 455 node−, r
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4.2 Netlist Elements 457 For infini
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4.2 Netlist Elements 459 4.2.20 Sig
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4.2 Netlist Elements 461 input T ou
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4.3 Model Library 463 Anode: Cathod
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4.3 Model Library 465 parameter nam
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4.3 Model Library 467 Small-Signal
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4.3 Model Library 469 Base: Collect
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4.3 Model Library 481 D CGB RD CGD
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4.3 Model Library 487 Small-Signal
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4.3 Model Library 489 s*Cdd*vd s*Cd
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4.3 Model Library 495 D RD igd CGD
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Index ABM (analog behavioral model)
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Index Design points — GetDesignPo
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Index Junction field-effect transis
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Index OperatingPointPostfix — Rea
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Index SinWave — Transistor models
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