Ferranti, Francesco

English

Ghent University Academic Bibliography

Parameterized Macromodeling and Model Order Reduction for High-Speed Interconnects F. Ferranti** Department of InformationTechnology (INTEC), Ghent University – IBBTDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)OutlineIntroductionParameterized  MacromodelsNew interpolation with scaling-shifting coefficientsNumerical examples• Spiral inductor• PCBConclusionsDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)OutlineIntroductionParameterized  MacromodelsNew interpolation with scaling-shifting coefficientsNumerical examples• Spiral inductor• PCBConclusionsDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)input                  outputout = f(in)fluid dynamicselectronicstelecomautomotivechemistry biomodeling geologyDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)AerodynamicsAutomotive Electronics MetallurgyChemistryDesignvariableswidth, temperature,angle, frequency, ...Responsevariableslift, S-parameters,pressure, stress, ...Simulation ModelFluent®, HSPICE®, CST®,Comsol®, Abaqus®, ...Costlyp2Adaptive ModelingOptimization SensitivityAnalysisPrototypingCAD/CAM/CAEEnvironmentDesignvariablesResponsevariablesCheapParameterized macromodelsNeural network, Kriging, SVM, rational function, spline,...p3p1p3p1p2Configurable infrastructureDistributed ComputingDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)AerodynamicsAutomotive Electronics MetallurgyChemistryDesignvariableswidth, temperature,angle, frequency, ...Responsevariableslift, S-parameters,pressure, stress, ...Simulation ModelFluent®, HSPICE®, CST®,Comsol®, Abaqus®, ...Costlyp2Adaptive ModelingOptimization SensitivityAnalysisPrototypingCAD/CAM/CAEEnvironmentDesignvariablesResponsevariablesCheapParameterized macromodelsNeural network, Kriging, SVM, rational function, spline,...p3p1p3p1p2Configurable infrastructureDistributed ComputingDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)Department of Information Technology – Internet Based Communication Networks and Services (IBCN)Design process several decisions materials geometrical dimensionsshape constraints space cost performanceDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)Simulators              implementation of models describe systems behavior help designersMeasurements post tuning verification help designersDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)A typical design process requires design space optimization design space exploration sensitivity analysis multiple simulations (measurements) different design parameters values (e.g. layout features)Department of Information Technology – Internet Based Communication Networks and Services (IBCN)A typical design process requires Multiple simulations (measurements) computationally expensive (time and memory) Can we do better? Yes By parameterized macromodelsDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)OutlineIntroductionParameterized  MacromodelsNew interpolation with scaling-shifting coefficientsNumerical examples• Spiral inductor• PCBConclusionsDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)discretisation by simulators modelingmodelPDEreal worldModel-driven PMORsX= AX+BUY=CX+DUU(s,g)                                Y(s,g) H(s,g) U(s,g)               Y(s,g) parameterized macromodelDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)discretisation by simulators modelingmodelPDEreal worldData-driven PMORdata simulationsModel-driven PMORsX= AX+BUY=CX+DUU(s,g)                                Y(s,g) H(s,g) U(s,g)               Y(s,g) parameterized macromodelDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)measurementsmodelingmodelPDEreal worlddiscretisation by simulators Data-driven PMORdata Model-driven PMORsX= AX+BUY=CX+DUU(s,g)                  Y(s,g) H(s,g) U(s,g)               Y(s,g) parameterized macromodelDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)PMOR conceptsTwo design space grids are used in the modeling process estimation grid  validation grid Design spaceNnngg 1)( )(==Department of Information Technology – Internet Based Communication Networks and Services (IBCN)discretisation by simulators modelingmodelPDEreal worldModel-driven PMORsX= AX+BUY=CX+DUU(s,g)                                Y(s,g) H(s,g) U(s,g)               Y(s,g) parameterized macromodelDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)PRIMALAGUERRE SVDFAST TBRHYBRID TBRModel Order ReductionInterpolationLeast SquaresSYSTEM MATRICESPROJECTION MATRICESTRANSFER FUNCTIONSA BC DHAr BrCr DrHrEIGENSPACE PROJECTION MORPRIMALAGUERRE SVDFAST TBRHYBRID TBREIGENSPACE Model Order ReductionInterpolationLeast SquaresSYSTEM MATRICESPROJECTION MATRICESTRANSFER FUNCTIONSPROJECTION A BC DHAr BrCr DrHrA BC DHAr BrCr DrHrA BC DHAr BrCr DrHrA BC DHAr BrCr DrHrPRIMALAGUERRE SVDFAST TBRHYBRID TBREIGENSPACE Model Order ReductionSYSTEM MATRICESPROJECTION MATRICESTRANSFER FUNCTIONSInterpolationLeast SquaresPROJECTION model-driven PMORaccuracyefficiencyHr(s,g) stability guaranteedpassivity guaranteedA BC DHA BC DHA BC DHA BC DHdiscretisation by simulators modelingmodelPDEreal worldmeasurementsData-driven PMORdata simulationsModel-driven PMORsX= AX+BUY=CX+DUU(s,g)                                Y(s,g) H(s,g) U(s,g)               Y(s,g) parameterized macromodelDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)VECTFITMULTIPORTPASSIVITYSTABILITYRational Fitting MethodsSYSTEM MATRICESPOLES/RESIDUESTRANSFER FUNCTIONSInterpolationLeast Squaresdata-driven PMORH(s,g)NOISY DATAaccuracyefficiencystability guaranteedpassivity guaranteedscattered dataDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)VECTFITMULTIPORTPASSIVITYSTABILITYRational Fitting MethodsSYSTEM MATRICESPOLES/RESIDUESTRANSFER FUNCTIONSInterpolationLeast SquaresH(s,g) )()())()((),( 1 gDgBgAIgCgH +−= −ss∑=−=Pp pass1 )()(),(ggQgHscattered datadata-driven PMORNOISY DATADepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)OutlineIntroductionParameterized  MacromodelsNew interpolation with scaling-shifting coefficientsNumerical examples• Spiral inductor• PCBConclusionsDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)VECTFITMULTIPORTPASSIVITYSTABILITYRational Fitting MethodsTRANSFER FUNCTIONSInterpolation SCALINGSHIFTINGH(s,g)scattered datadata-driven PMORDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)NOISY DATAFeatures  local approach (cell by cell)Department of Information Technology – Internet Based Communication Networks and Services (IBCN)Features  local approach (cell by cell) independent from a specific state-space realizationDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN) stability and passivity guaranteed over the design space suitable to robust adaptive sampling different flavoursDesign space Nnngg 1)( )(==Department of Information Technology – Internet Based Communication Networks and Services (IBCN)Department of Information Technology – Internet Based Communication Networks and Services (IBCN)Department of Information Technology – Internet Based Communication Networks and Services (IBCN)Department of Information Technology – Internet Based Communication Networks and Services (IBCN)Department of Information Technology – Internet Based Communication Networks and Services (IBCN)Department of Information Technology – Internet Based Communication Networks and Services (IBCN)Department of Information Technology – Internet Based Communication Networks and Services (IBCN)Department of Information Technology – Internet Based Communication Networks and Services (IBCN)Department of Information Technology – Internet Based Communication Networks and Services (IBCN)Department of Information Technology – Internet Based Communication Networks and Services (IBCN)Standard InterpolationDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)OutlineIntroductionParameterized  MacromodelsNew interpolation with scaling-shifting coefficientsNumerical examples• Spiral inductor• PCBConclusionsDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)VECTFITMULTIPORTPASSIVITYSTABILITYRational Fitting MethodsTRANSFER FUNCTIONSInterpolation SCALINGSHIFTINGH(s,g)scattered datadata-driven PMORDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)NOISY DATA3D example: Spiral inductorDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)3D example: Spiral inductorLy = 0.57 mm Ly = 0.74 mm Department of Information Technology – Internet Based Communication Networks and Services (IBCN)3D example: Spiral inductor (Without scaling-shifting coefficients)Lx = [0.57,0.60,0.63] mm, Ly = 0.57 mm Department of Information Technology – Internet Based Communication Networks and Services (IBCN)3D example: Spiral inductor (Without scaling-shifting coefficients)Lx = [0.57,0.60,0.63] mm, Ly = 0.57 mm Department of Information Technology – Internet Based Communication Networks and Services (IBCN)3D example: Spiral inductor (With scaling-shifting coefficients)Lx = [0.57,0.60,0.63] mm, Ly = 0.57 mm Department of Information Technology – Internet Based Communication Networks and Services (IBCN)3D example: Spiral inductor (With scaling-shifting coefficients)Lx = [0.57,0.60,0.63] mm, Ly = 0.57 mm Department of Information Technology – Internet Based Communication Networks and Services (IBCN)OutlineIntroductionParameterized  MacromodelsNew interpolation with scaling-shifting coefficientsNumerical examples• Spiral inductor• PCBConclusionsDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)VECTFITMULTIPORTPASSIVITYSTABILITYRational Fitting MethodsTRANSFER FUNCTIONSInterpolation SCALINGSHIFTINGH(s,g)scattered datadata-driven PMORDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)NOISY DATA3D example: PCBR = antipads radius7.7mm6.6mmD = distance betweensignal vias andground vias (centerto center)Department of Information Technology – Internet Based Communication Networks and Services (IBCN)3D example: PCBDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)Department of Information Technology – Internet Based Communication Networks and Services (IBCN)Speed-up  4650 x Department of Information Technology – Internet Based Communication Networks and Services (IBCN)R=0.543 mmD=1.8525 mmDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)R=0.543 mmD=1.8525 mmDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)R=0.543 mmD=1.8525 mmDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)OutlineIntroductionParameterized  MacromodelsNew interpolation with scaling-shifting coefficientsNumerical examples• Spiral inductor• PCBConclusionsDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)fluid dynamicselectronicstelecominput                  outputout = f(in)automotivechemistry biomodeling geologyDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)AerodynamicsAutomotive Electronics MetallurgyChemistryDesignvariableswidth, temperature,angle, frequency, ...Responsevariableslift, S-parameters,pressure, stress, ...Simulation ModelFluent®, HSPICE®, CST®,Comsol®, Abaqus®, ...Costlyp2Adaptive ModelingOptimization SensitivityAnalysisPrototypingCAD/CAM/CAEEnvironmentDesignvariablesResponsevariablesCheapParameterized macromodelsNeural network, Kriging, SVM, rational function, spline,...p3p1p3p1p2Configurable infrastructureDistributed ComputingDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)AerodynamicsAutomotive Electronics MetallurgyChemistryDesignvariableswidth, temperature,angle, frequency, ...Responsevariableslift, S-parameters,pressure, stress, ...Simulation ModelFluent®, HSPICE®, CST®,Comsol®, Abaqus®, ...Costlyp2Adaptive ModelingOptimization SensitivityAnalysisPrototypingCAD/CAM/CAEEnvironmentDesignvariablesResponsevariablesCheapParameterized macromodelsNeural network, Kriging, SVM, rational function, spline,...p3p1p3p1p2Configurable infrastructureDistributed ComputingDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)Parameterized macromodelsMultiple design variablesCompact modelsH(s,g) U(s,g)               Y(s,g) parameterized macromodelEfficient design activities (excellent speed-ups) Multiple simulations (measurements) Design space optimization, exploration, sensitivity analysisDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)Parameterized macromodelsTime-domain simulations• Non-linear drivers and receiversStochastic modelingH(s,g) U(s,g)               Y(s,g) parameterized macromodel• impact of manufacturing tolerancesHigh number of dimensionsModels from measurements• noise to handleApplications in different domainsDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)QuestionsDepartment of Information Technology – Internet Based Communication Networks and Services (IBCN)Contact info: francesco.ferranti@ugent.beRecent publicationsF. Ferranti, L. Knockaert, T. Dhaene, "Passivity-Preserving Parametric Macromodeling byMeans of Scaled and Shifted State-Space Systems", IEEE Trans. on Microwave Theory andTechniques, vol. 59, no. 10, pp.2394-2403, October 2011.F. Ferranti, T. Dhaene, L. Knockaert, G. Antonini and A. Ciccomancini Scogna, "ScalableCompact Models for Fast Design Optimization of Complex Electromagnetic Systems",Department of Information Technology – Internet Based Communication Networks and Services (IBCN)International Journal of RF and Microwave Computer-Aided Engineering, vol. 22, no. 1, pp.20-29, January 2012.F. Ferranti, M. Nakhla, G. Antonini, T. Dhaene, L. Knockaert, A. E. Ruehli, “Interpolation-based Parameterized Model Order Reduction of Delayed Systems”, IEEE Trans. on MicrowaveTheory and Techniques, vol. 60, no. 3, pp. 431-440, March 2012.Contact info: francesco.ferranti@ugent.be

Parameterized macromodeling and model order reduction for high-speed interconnects

https://biblio.ugent.be/publication/3240187/file/3240192

Parameterized macromodeling and model order reduction for high-speed interconnects

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Ghent University Academic Bibliography