1. Using MathCAD, Matlab and PSpice for electronics simulations
CARE Workshop
Lueneburg (Germany)
November 30th and December 1st 2006
José Luis Gonzalez – CERN/AB/BI

2. JL Gonzalez - CERN/AB/BI
Outline
Introduction
MathCAD examples
Position Monitors
Design parameters for PSpice
PSpice simulations
Electrostatic BPMs
The optimizer
Matlab overview
Summary
Simulation Tools
JL Gonzalez - CERN/AB/BI

3. JL Gonzalez - CERN/AB/BI
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
Simulation Tools
JL Gonzalez - CERN/AB/BI

4. MathCAD

5. JL Gonzalez - CERN/AB/BI
Using MathCAD
Button type BPM d r
Reference orbit
Transfer Impedance
ZT  d / 2prCe
Low cut-off frequency
fc = 1/2pRLCe
(usually > 100 MHz)
Simulation Tools
JL Gonzalez - CERN/AB/BI

6. JL Gonzalez - CERN/AB/BI
Using MathCAD
Button type BPM Ib Ce RL Z∞
V to V
Simulation Tools
JL Gonzalez - CERN/AB/BI

7. JL Gonzalez - CERN/AB/BI
Using MathCAD
Button type BPM
Cel = 8.9 pF
Zinf = 1.8 Ohm
fc = 360 MHz
Simulation Tools
JL Gonzalez - CERN/AB/BI

8. JL Gonzalez - CERN/AB/BI
Using MathCAD
HF - Button type BPM
Simulation Tools
JL Gonzalez - CERN/AB/BI

9. JL Gonzalez - CERN/AB/BI
Using MathCAD
The LHC coupler
Simulation Tools
JL Gonzalez - CERN/AB/BI

10. PSPICE

11. Simulation with PSpice
LHC Button model using PSpice parameters
Simulation Tools
JL Gonzalez - CERN/AB/BI

12. Simulation with PSpice
Beam model using PSpice parameters
Piecewise Linear Current Source associated to a definition file to generate a Gaussian beam signal
Simulation Tools
JL Gonzalez - CERN/AB/BI

13. Simulation with PSpice
Beam model
Simulating several beam intensities
Simulation Tools
JL Gonzalez - CERN/AB/BI

14. Simulation with PSpice
Button and Bessel low-pass filter PSpice parametric analysis
Beam intensity variation
2.109  p/b
Simulation Tools
JL Gonzalez - CERN/AB/BI

15. Simulation with PSpice
Button and Bessel low-pass filter response to different bunch lengths
p/b
Bunch σ varies from 1 to 5 ns
Simulation Tools
JL Gonzalez - CERN/AB/BI

16. Simulation with PSpice
The LHC coupler model
Simulation Tools
JL Gonzalez - CERN/AB/BI

17. Simulation with PSpice
The LHC coupler
Simulation Tools
JL Gonzalez - CERN/AB/BI

18. Simulation with PSpice
The LHC coupler response
Simulation Tools
JL Gonzalez - CERN/AB/BI

19. JL Gonzalez - CERN/AB/BI
PSpice Optimizer
Constant Impedance Bessel Filter
Input impedance matching optimization
Simulation Tools
JL Gonzalez - CERN/AB/BI

20. JL Gonzalez - CERN/AB/BI
PSpice Optimizer
Constant Impedance Bessel Filter input matching
Goal functions and constraints
S11 < 50 dB ; Zin = 50 Ohms
Simulation Tools
JL Gonzalez - CERN/AB/BI

21. JL Gonzalez - CERN/AB/BI
PSpice Optimizer
Constant Impedance Bessel Filter
Optimization results
Simulation Tools
JL Gonzalez - CERN/AB/BI

22. JL Gonzalez - CERN/AB/BI
PSpice Optimizer
Constant Impedance Bessel Filter realization
Simulation Tools
JL Gonzalez - CERN/AB/BI

23. JL Gonzalez - CERN/AB/BI
PSpice Optimizer
LHC - WBTN Bessel Filter
Simulation Tools
JL Gonzalez - CERN/AB/BI

24. JL Gonzalez - CERN/AB/BI
PSpice Optimizer
LHC - WBTN Bessel Filter
21.3p
21.5p
21.8p
Simulation Tools
JL Gonzalez - CERN/AB/BI

25. Matlab

26. JL Gonzalez - CERN/AB/BI
Using Matlab
CERN-PS Beam data analysis
FFT
Q-calculation
Simulation Tools
JL Gonzalez - CERN/AB/BI

27. JL Gonzalez - CERN/AB/BI
Using Matlab
Windowing actual data
Simulation Tools
JL Gonzalez - CERN/AB/BI

28. JL Gonzalez - CERN/AB/BI
Using Matlab
SPS beam data analysis
Simulation Tools
JL Gonzalez - CERN/AB/BI

29. JL Gonzalez - CERN/AB/BI
Using Matlab
SPS Q-Measurement data analysis
Simulation Tools
JL Gonzalez - CERN/AB/BI

30. JL Gonzalez - CERN/AB/BI
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
Simulation Tools
JL Gonzalez - CERN/AB/BI