(************** Content-type: application/mathematica ************** CreatedBy='Mathematica 5.0' Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). 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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 1801375, 26369]*) (*NotebookOutlinePosition[ 1802528, 26406]*) (* CellTagsIndexPosition[ 1802436, 26400]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["Examples for IndexCondition", "Input", Evaluatable->False, FontSize->16, Background->RGBColor[0.823529, 0.980392, 1]], Cell["\<\ Christoph Clau\[SZ], Sandra B\[ODoubleDot]hme Fraunhofer Institute for Integrated Circuits, Design Automation Department, \ Dresden\ \>", "Input", Evaluatable->False], Cell[BoxData[ \(<< AnalogInsydes`\)], "Input"], Cell[BoxData[ \(<< "\"\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(\(?IndexCondition\)\)], "Input"], Cell[BoxData[ \("IndexCondition[net]\n\n gives the condition for a higher index of the \ linear system net. net must be a checked Netlist in the Analog \ Insydes-Format.\n It does not work for time-dependent network components \ others than capacitors and inductors.\n If the result is {0}, then the index \ is high (>1) independently from the values of the network components. The \ network structure causes the higher index.\n If the result is {expression}, \ then the index is high if and only if the expression is equal to zero. If \ \"expression\" contains symbols (which symbolize values of network \ components), the values can be chosen such that \"expression\" is equal to \ zero (index is high) or such that \"expression\" is not zero (index is low). \ \n Take care that in this choice capacitors and inductors must not become \ zero!!\n \n For more information care for\n [1] Clau\[SZ], C.; Schwarz, P.; \ Straube, B.; Vermeiren, W;\n Symbolical Index Calculation for Linear \ Circuits;\n Mathematical and Computer Modelling of Dynamical Systems, 2001, \ \n Vol. 7, No. 2, Swets & Zeitlinger\n [2] Clau\[SZ], C.; Schwarz, P.; \ Straube, B.; Vermeiren, W;\n Symbolically calculated higher index \ conditions for linear circuits;\n Mathematics and Computers in Simulation, \ 2000, Vol. 53, No. 4-6, Elsevier\n \n Please keep in mind that the index is a \ property of the system of equations, not of the network itself.\n \n The \ netlist must not contain for inductors Pattern -> Admittance.\n The netlist \ must not contain for capacitors Pattern -> Impedance.\n \n Arguments:\n * \ Formulation -> SparseTableau | ModifiedNodal selects the type of circuit \n\ equations, Analog-Insydes-Option\n * ElementValues -> Value | \ Symbolic numerically or symbolically circuit \n equations, \ Analog-Insydes-Option\n * MatrixOutput -> False | True Output of system \ matrices\n \n There is no guarantee that this function is correct. It is just \ an example.\n \n Copyright (C) 1999 by Fraunhofer-Gesellschaft. All rights \ reserved.\n Fraunhofer Institute for Integrated Circuits, Design Automation \ Department Zeunerstra\[SZ]e 38, 01069 Dresden, Germany \ (http://www.eas.iis.fhg.de)\n \n Permission is hereby granted, without \ written agreement and without license or royalty fees, to use, copy, modify, \ and distribute this software and its documentation for any purpose, provided \ that the above copyright notice and the following two paragraphs appear in \ all copies of this software.\n \n IN NO EVENT SHALL THE FRAUNHOFER INSTITUTE \ FOR INTEGRATED CIRCUITS BE LIABLE TO ANY PARTY FOR DIRECT, INDIRECT, \ SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE USE OF THIS \ SOFTWARE AND ITS DOCUMENTATION, EVEN IF THE FRAUNHOFER INSTITUTE HAS BEEN \ ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.\n \n THE FRAUNHOFER INSTITUTE FOR \ INTEGRATED CIRCUITS SPECIFICALLY DISCLAIMS ANY WARRANTIES, INCLUDING, BUT \ NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A \ PARTICULAR PURPOSE. THE SOFTWARE PROVIDED HEREUNDER IS ON AN \"AS IS\" BASIS, \ AND THE FRAUNHOFER INSTITUTE HAS NO OBLIGATION TO PROVIDE MAINTENANCE, \ SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS.\n "\)], "Print", CellTags->"Info3303186879-6133691"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["Example 1", "Input", Evaluatable->False, Background->GrayLevel[0.900008]], Cell[TextData[StyleBox["simple R-C-network", FontFamily->"Times"]], "Input", Evaluatable->False, FontColor->GrayLevel[0.333333]], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .40426 %%ImageSize: 236 96 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Scaling calculations 0 0.00425532 -0.00425532 0.00425532 [ [ 0 0 0 0 ] [ 1 .40426 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 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{5, \ 4}, \ Rs}, \[IndentingNewLine]{Rk, \ {5, \ 3}, \ Rk}, \[IndentingNewLine]{Rp, \ {4, \ 3}, \ Rp}, \[IndentingNewLine]{Cp, \ {4, \ 3}, \ Value\ -> Cp, \ Pattern\ -> Admittance}, \[IndentingNewLine]{R1, \ {3, \ 2}, \ R1}, \[IndentingNewLine]{L1, \ {3, \ 2}, \ L1}, \[IndentingNewLine]{R3, \ {6, \ 0}, \ R3}, \[IndentingNewLine]{L2, \ {6, \ 0}, \ L2}, \[IndentingNewLine]{C1, \ {2, \ 1}, \ Value\ -> C1, \ Pattern\ -> \ Admittance}, \[IndentingNewLine]{R2, \ {1, \ 0}, \ R2}, \[IndentingNewLine]{I1, \ {2, \ 0}, \ IL1}\[IndentingNewLine]]\[IndentingNewLine]];\)\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(sta6 = IndexCondition[Net6, \ ElementValues -> Symbolic]\)], "Input"], Cell[BoxData[ \({\(-C1\)\ Cp\ L1\ L2\ R1\ Rk\ Rp - C1\ Cp\ L1\ L2\ R2\ Rk\ Rp - C1\ Cp\ L1\ L2\ R3\ Rk\ Rp - C1\ Cp\ L1\ L2\ R1\ Rp\ Rs - C1\ Cp\ L1\ L2\ R2\ Rp\ Rs - C1\ Cp\ L1\ L2\ R3\ Rp\ Rs - C1\ Cp\ L1\ L2\ Rk\ Rp\ Rs}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(mna6 = IndexCondition[Net6, 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Circuit[\[IndentingNewLine]Netlist[\[IndentingNewLine]{V, \ {1, \ 0}, \ V}, \[IndentingNewLine]{R1, \ {1, \ 2}, \ R1}, \[IndentingNewLine]{R2, \ {2, \ 3}, \ R2}, \[IndentingNewLine]{C, \ {3 -> P, \ 0 -> N}, Model -> Cload, \ Selector -> AC, C -> \ C3}\[IndentingNewLine]], \[IndentingNewLine]Model[\ \[IndentingNewLine]Name \[Rule] Cload, \ \[IndentingNewLine]Selector \[Rule] AC, \ \[IndentingNewLine]Scope \[Rule] Local, \[IndentingNewLine]Ports \[Rule] {P, \ N}, \ \[IndentingNewLine]Parameters \[Rule] {C}, \ \[IndentingNewLine]Definition\ \[Rule] \[IndentingNewLine]Netlist[\ \ \[IndentingNewLine]{vv, {P, \ N, \ r, \ N}, \ C}, \[IndentingNewLine]{cc, \ {q, \ r, \ P, \ N}, \ \(-1\)}, \[IndentingNewLine]{c, \ \ {q, \ N}, \ 1}\[IndentingNewLine]]\[IndentingNewLine]]\ \[IndentingNewLine]];\)\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(IndexCondition[Net7]\)], "Input"], Cell[BoxData[ \({C3\ R1 + C3\ R2}\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(IndexCondition[Net7, 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