Collaborative Webmeeting November 24th, 2010 Geneve / Darmstadt

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1 Collaborative Webmeeting November 24th, 2010 Geneve / Darmstadt
Calculation of Beam Coupling Impedance for ferrite loaded kickers: Studies for the SIS-100 kicker system Lukas Hänichen Collaborative Webmeeting November 24th, 2010 Geneve / Darmstadt 9. Dezember | TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dipl.-Ing. Lukas Hänichen | 1 9. Dezember 2018 | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Prof. Dr.-Ing. Thomas Weiland

2 Coupling Impedance calculation Hysteresis losses Thermal loading
Outline Introduction Core tasks Coupling Impedance calculation Hysteresis losses Thermal loading Conclusive Remarks 9. Dezember | TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dipl.-Ing. Lukas Hänichen | 2 9. Dezember 2018 | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Prof. Dr.-Ing. Thomas Weiland

3 Introduction: Kicker principle
Provide transverse kick to extract particle beam from synchrotron ring Multiple units in a single vessel Ferrite block Coil Pulse former (PFN) Support structures Strong beam coupling also in idle state PFN 0.8 m 9. Dezember | TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dipl.-Ing. Lukas Hänichen | 3 9. Dezember 2018 | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Prof. Dr.-Ing. Thomas Weiland

4 Core tasks Coupling Impedance calculation
Ferrite modeling of hysteresis Sensitivity on ferrite data Beam induced hysteresis losses Beam current spectrum Heat energy Thermal loading Heat distribution Nonlinearity 9. Dezember | TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dipl.-Ing. Lukas Hänichen | 4 9. Dezember 2018 | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Prof. Dr.-Ing. Thomas Weiland

5 Coupling Impedance calculation (1) : Ferrite hysteresis
Material datasheet provides complex permeability as a function of frequency Complex permeability maintains a linear dependency “Tilted ellipse” approximates hysteresis loop 9. Dezember | TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dipl.-Ing. Lukas Hänichen | 5 9. Dezember 2018 | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Prof. Dr.-Ing. Thomas Weiland

6 Coupling Impedance calculation (2) : Obtaining reliable data for ferrite
Different for every frequency Typically provided by manufacturer datasheet or Bench measurements Tolerances 10 … 30 % ??? 9. Dezember | TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dipl.-Ing. Lukas Hänichen | 6 9. Dezember 2018 | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Prof. Dr.-Ing. Thomas Weiland

7 Coupling Impedance calculation (3) : Sensitivity analysis
High computational accuracy is of no use when material parameters have high uncertainty  influence has to be studied Recomputing for altered material data is costly Use perturbation approach with reference solution instead Calculate tolerances from reference solution reference case perturbed case Using a suitable expansion for Matrix A yields 9. Dezember | TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dipl.-Ing. Lukas Hänichen | 7 9. Dezember 2018 | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Prof. Dr.-Ing. Thomas Weiland

8 Hysteresis losses : For a given beam current spectrum the total heat power is given by In progress: impedance calculation including recent changes applying reference bunch scenarios studying influence / effectiveness of geometry and eddy current traps 9. Dezember | TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dipl.-Ing. Lukas Hänichen | 8 9. Dezember 2018 | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Prof. Dr.-Ing. Thomas Weiland

9 Thermal loading (1) : Total absorbed power
Non-linear coupled problem since Heat energy is not equally distributed (FOURIER heat equation) Common approximation: assuming a constant average q to calculate the temperature increase This “0D” Model predicts a linear temperature increase 9. Dezember | TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dipl.-Ing. Lukas Hänichen | 9 9. Dezember 2018 | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Prof. Dr.-Ing. Thomas Weiland

10 Thermal loading (2) : Alternate approaches
A more accurate approach would be to use the local losses from EM simulation Assumptions can be made for the temperature dependence in the longitudinal direction 1D Model: Temperature gradient for wall cross-section of ferrite 2D Model: Temperature gradient for kicker cross-section 3D Model Coupled Simulation 9. Dezember | TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dipl.-Ing. Lukas Hänichen | 10 9. Dezember 2018 | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Prof. Dr.-Ing. Thomas Weiland

11 Conclusive remarks Everything strongly depends on the material data
Studies are required how much tolerances reflect on the results Electromagnetic-Thermal Coupled problem Still in progress : Achieve higher computational headroom for more more complicated structures Calculation for full SIS-100 kicker geometry Questions, Remarks, Discussion welcome… thank you ! 9. Dezember | TU Darmstadt | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Dipl.-Ing. Lukas Hänichen | 11 9. Dezember 2018 | Fachbereich 18 | Institut Theorie Elektromagnetischer Felder | Prof. Dr.-Ing. Thomas Weiland