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120 2. Tutorial input of circuit netlist set up timedomain circuit equations compute initial transient solution ⩵ DC operating point substitute time derivatives at time step t using trapezoidal method solve nonlinear system of equations at time step t using Newton’s method iteration i time step t⩵h no convergence AND iimax Y N i⩵⩵imax N Y step size control h ⩵ StepSizeFactor or h ⋆⩵ StepSizeFactor store solution at time step t ttmax N Y interpolation of data output of solutions as interpolated functions Figure 7.3: NDAESolve program flow
2.7 Time-Domain Analysis of Nonlinear Dynamic Circuits 121 2.7.4 NDAESolve Options Options[NDAESolve] Several options are available for NDAESolve most of which need not be changed unless there are problems with the default settings, such as convergence problems. To list all options associated with NDAESolve inspect the value of Options[NDAESolve]: In[23]:= Options[NDAESolve] Out[23]= AccuracyGoal 6, AnalysisMode Transient, BreakOnError False, Compiled True, CompressEquations False, DesignPoint Automatic, InitialConditions Automatic, InitialGuess Automatic, InitialSolution Automatic, InterpolationOrder 1, MaxDelta 1., MaxIterations 100, 20, MaxSteps Automatic, MaxStepSize Automatic, MinStepSize Automatic, NonlinearMethod FindRoot, OutputVariables All, Protocol InheritedAnalogInsydes, RandomFunction RandomReal, 0., 0.1 &, ReturnDerivatives False, Simulator InheritedAnalogInsydes, SimulatorExecutable Automatic, StartingStepSize Automatic, StepSizeFactor 1.5, WorkingPrecision 16 Below, a set of NDAESolve options is explained in more detail: InitialGuess With the default setting InitialGuess −> Automatic, zero is used as initial guess for all variables when solving a system of nonlinear equations by means of Newton iterations. Whenever this setting causes numerical problems, such as division-by-zero errors or failure to converge, you can use InitialGuess to specify your own initial guess as a list of rules of the form: InitialGuess −> {var −> value , , var n −> value n } Note that the variables var i are specified without the time variable tvar. InitialSolution With the option InitialSolution we can force NDAESolve to use a certain DC solution as initial operating point for a transient analysis. A set of initial values must be provided as a list of rules which associate a numerical value with a variable from the system of equations. Missing variables are then computed consistently. InitialSolution −> {var −> value , , var n −> value n } Note that the variables var i are specified without the time variable tvar. MaxDelta One of the conditions that are checked by the integration step size control mechanism is whether the values of some variables change abruptly from one time step to the next. The maximum allowed
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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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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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344 3. Reference Manual 3.9.3 Nicho
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348 3. Reference Manual NyquistPlot
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350 3. Reference Manual Draw a Nyqu
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352 3. Reference Manual Display the
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358 3. Reference Manual Change the
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360 3. Reference Manual Parametric
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362 3. Reference Manual Define netl
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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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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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