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394 3. Reference Manual option name default value AbsolutePivotThreshold 1.0*10^−8 the absolute pivot threshold for the sparse matrix solver used in the MathLink binary MSBG.exe CompressEquations False whether to compress the matrix equation after approximation DesignPoint Automatic the numerical reference data for the symbols NumericalAccuracy 1.0*10^−8 the numerical accuracy threshold for ranking recomputations PivotThreshold 0.01 the relative pivot threshold for the sparse matrix solver used in the MathLink binary MSBG.exe Protocol Options for ApproximateMatrixEquation, Part I. Inherited[AnalogInsydes] standard Analog Insydes protocol specification (see Section 3.14.5) option name default value QuasiSingularity 1.0*10^−15 threshold for detecting numerical singularities RecomputationThreshold SortingMethod StripIndependentBlocks UseExternals 2.0 threshold for triggering a ranking recomputation PrimaryDesignPoint False Options for ApproximateMatrixEquation, Part II. how to sort the list of matrix entry influences to obtain a term ranking whether to search for and discard algebraically independent blocks from a matrix equation after approximation Inherited[AnalogInsydes] whether to use the MathLink binary MSBG.exe (see Section 3.14.7)
3.11 Linear Simplification Techniques 395 See also: ApproximateTransferFunction (Section 3.11.2). Options Description A detailed description of all ApproximateMatrixEquation options is given below in alphabetical order: AbsolutePivotThreshold With AbsolutePivotThreshold −> posreal you can specify the minimum absolute value a matrix entry must have to be considered as a pivot candidate during LU decomposition. There is no need to change the value of this option unless ApproximateMatrixEquation reports problems with ill-conditioned equations. CompressEquations The setting CompressEquations −> True causes the matrix equation to be compressed after approximation. The option is realized by an internal call of the function CompressMatrixEquation (Section 3.11.4). You should turn matrix compression on whenever you are working with large matrices, i.e. when the matrix dimensions are significantly larger than ⨯ . DesignPoint With DesignPoint −> {symbol −> value , † † † } you can overwrite the design point given in the DAEObject. The default setting is DesignPoint −> Automatic, which means to use the design point stored in the DAEObject. NumericalAccuracy The option NumericalAccuracy −> posreal specifies the minimum influence a matrix entry must have to trigger a recomputation of the term ranking. This threshold is used to prevent frequent ranking recomputations due to numerical inaccuracies in very small influence values. If the ranking is recomputed too often at the beginning of the approximation process, you should increase the value of NumericalAccuracy by an order of magnitude. Note that information about ranking recomputations is available only if UseExternals −> False and Protocol −> Notebook. See also the description of RecomputationThreshold. PivotThreshold With PivotThreshold −> posreal you can specify the minimum relative magnitude a matrix entry must have to be considered as a pivot candidate during LU decomposition. The value posreal must
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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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264 3. Reference Manual Define a si
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266 3. Reference Manual 3.6.9 GetPa
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268 3. Reference Manual Return the
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270 3. Reference Manual You can set
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272 3. Reference Manual the DesignP
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274 3. Reference Manual Show new DA
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276 3. Reference Manual Show update
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278 3. Reference Manual Match symbo
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280 3. Reference Manual number of e
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282 3. Reference Manual 3.7 Numeric
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284 3. Reference Manual The combina
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286 3. Reference Manual The default
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288 3. Reference Manual have to be
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290 3. Reference Manual Read the ne
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292 3. Reference Manual 3.7.5 NDAES
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296 3. Reference Manual Note that t
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298 3. Reference Manual MaxDelta On
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300 3. Reference Manual In case of
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302 3. Reference Manual Perform num
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304 3. Reference Manual Vic 1 2 L1
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306 3. Reference Manual 3.8 Pole/Ze
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308 3. Reference Manual r v ⩵
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310 3. Reference Manual Calculate b
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312 3. Reference Manual Read in a P
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314 3. Reference Manual Show the ro
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318 3. Reference Manual A ϑ i B
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320 3. Reference Manual Find the po
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324 3. Reference Manual ErrorFuncti
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326 3. Reference Manual error but s
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328 3. Reference Manual If you set
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330 3. Reference Manual Set up syst
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332 3. Reference Manual 3.9 Graphic
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336 3. Reference Manual Automatic s
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338 3. Reference Manual Display all
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340 3. Reference Manual Show magnit
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342 3. Reference Manual Reduce the
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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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