Using MathCAD, Matlab and PSpice for electronics simulations

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Using MathCAD, Matlab and PSpice for electronics
simulations

• CARE Workshop
• Lueneburg (Germany)
• November 30th and December 1st 2006
• José Luis Gonzalez CERN/AB/BI

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Outline

• Introduction
• MathCAD examples
• Position Monitors
• Design parameters for PSpice
• PSpice simulations
• Electrostatic BPMs
• The optimizer
• Matlab overview
• Summary

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Introduction

• Mathematical tools
• Accurate calculations
• Fast and easy parameter changes
• Electronics simulation
• Avoids breadboarding and facilitates design
• Application examples
• BPM models
• Accelerator beam data analysis

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MathCAD
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Using MathCAD

• Button type BPM

• Transfer Impedance
• ZT? ? d / 2prCe
• Low cut-off frequency
• fc 1/2pRLCe
• (usually gt 100 MHz)

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Using MathCAD

• Button type BPM

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Using MathCAD

• Button type BPM
• Cel 8.9 pF
• Zinf 1.8 Ohm
• fc 360 MHz

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Using MathCAD

• HF - Button type BPM

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Using MathCAD

• The LHC coupler

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PSPICE
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Simulation with PSpice

• LHC Button model using PSpice parameters

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Simulation with PSpice

• Beam model using PSpice parameters
• Piecewise Linear Current Source associated to a
  definition file to generate a Gaussian beam signal

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Simulation with PSpice

• Beam model
• Simulating several beam intensities

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Simulation with PSpice

• Button and Bessel low-pass filter PSpice
  parametric analysis
• Beam intensity variation
• 2.109 ? 2.1011 p/b

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Simulation with PSpice

• Button and Bessel low-pass filter response to
  different bunch lengths
• 5.1010 p/b
• Bunch s varies from 1 to 5 ns

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Simulation with PSpice

• The LHC coupler model

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Simulation with PSpice

• The LHC coupler

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Simulation with PSpice

• The LHC coupler response

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PSpice Optimizer

• Constant Impedance Bessel Filter
• Input impedance matching optimization

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PSpice Optimizer

• Constant Impedance Bessel Filter input matching
• Goal functions and constraints
• S11 lt 50 dB Zin 50 Ohms

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PSpice Optimizer

• Constant Impedance Bessel Filter
• Optimization results

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PSpice Optimizer

• Constant Impedance Bessel Filter realization

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PSpice Optimizer

• LHC - WBTN Bessel Filter

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PSpice Optimizer

• LHC - WBTN Bessel Filter

21.3p
21.5p
21.8p
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Matlab
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Using Matlab

• CERN-PS Beam data analysis
• FFT
• Q-calculation

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Using Matlab

• Windowing actual data

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Using Matlab

• SPS beam data analysis

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Using Matlab

• SPS Q-Measurement data analysis

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Summary

• MathCAD and Matlab are very powerful tools for
  the engineer
• Data analysis
• Mathematical modeling
• PSpice has proven to be an essential tool for
  circuit simulation