1. INTRODUCTION AND EQUILIBRIUM CONFIGURATIONS. Introduction to energy fusion. Magnetic flux e field: normalized flux and radius coordinates. Equilibrium of an axisymmetric toroidal configuration; derivation of Grad-Shafranov equation; plasma shape in a tokamak.
2. INTRODUCTION TO PLASMA PHYSICS. Classification of plasmas, Debye length, collisions between charged particles, collisional slowing-down, plasma resistivity. Fusion reactor scheme, power balance, Lawson criterion, Ideal ignition temperature.
3. PLASMA DIAGNOSTICS, CIRCUIT MODELS AND HEATING. General description of main plasma diagnostics. Magnetic diagnostics. Circuit models (for plasma, poloidal field coils and conducting structures); transformers; plasma current induction; magnetic flux balance; time evolution of tokamak scenarios; tokamak time scales. Introduction to plasma current, position, shape control systems: plasma radial position and current control, vertical stabilization of elongated plasma. Eddy currents and magnetic forces. Overview of Plasma Heating and Current Drive.
4. TOKAMAK LOAD ASSEMBLY: FROM CONCEPTUAL DESIGN TO REALIZATION. Introduction. Toroidal Field Coil System. Poloidal Field Coil System. Vacuum Vessel. Divertor and First Wall. Cooling. Assembly maintenance (remote handling). Supply System.
5. NEUTRONIC. Basic neutron physics and breeding concept, introduction to neutron transport, neutronics and activation calculations. Introduction to neutron sources and material damage.
6. DISRUPTIONS, VDE, PLASMA SCENARIO, MAGNETIC DIAGNOSTICS. Review of Circuit models for plasma, poloidal field coils and conducting structures, Transformers, Plasma current induction, Magnetic flux balance. Time evolution of a tokamak scenario, Tokamak time scales, Disruptions and VDE, Eddy and halo currents, DTT VDEs. MAXFEA code: equilibrium and disruptions.
7. POWER EXHAUST ISSUES: PHYSICS AND TECHNOLOGY. Fundamental physics relations in the SOL, Validating our understanding in present devices. Numerical tools, Making the step to larger devices. Design of Actively Cooled Plasma Facing Components (PFCs), thermos-hydraulic design of a divertor plasma facing components. Preliminary investigation on W foams as protection strategy for advanced PFCs.
8. OVERVIEW ON TODAY POWER SUPPLY SYSTEMS FOR TOKAMAKS IN VIEW OF DEMO. The Problem of Energy Resources: Nuclear Fusion Power Plant, Power Supplies & Semiconductor Devices, Diodes & Thyristors, AC-DC Rectifiers, EU-DEMO Fusion Power Electrical System, Balance-Of-Plant (HCPB/WCLL); Major EU-DEMO subsystems (lessons learnt from ITER); EU DEMO Power Demand (SSEN–PPEN)
9. OPTIMIZATION AND INVERSE PROBLEMS IN MAGNETIC FUSION RESEARCH. Optimization Problems: Modelling, Optimization, Linear Programming, Linear Programming in Matlab, Quadratic Programming, Descent Methods, Exercises. Design of high flux expansion experiments in jet tokamak via optimization of the divertor coils current
10. SUPERCONDUCTORS: THEORY AND FUSION APPLICATION. The phenomenon of superconductivity: principles, phenomenology and materials. The main applications of superconductors. The technology of superconducting magnets for nuclear fusion: ITER and DTT.
11. THE ERA OF THE ATOM: ONE CENTURY AHEAD THE BOHR MODEL (seminar).
12. ADDITIONAL HEATING SCHEMES FOR TOKAMAKS. Scope of additional heatings, additional heating techniques, NBI, ICRH, ECRH, Task for HCD systems.
13. MECHANICAL AND ELECTROMAGNETIC FEM ANALYSIS OF TOKAMAKS COMPONENTS. Mechanical analysis of superconducting magnet systems: Central Solenoid (CS), Poloidal Field (PF) coils and Toroidal Field (TF) coils (FEM strategies: issues and applications (DEMO, DTT), Steady state and transient simulations. Liquid metals as PFC. Electromagnetic analysis of magnet system and metallic components (VV, in-vessel coils, etc.), Steady state and transient simulationsANSYS Workbench modules, Geometry (FE Modeler/SpaceClaim), Static structural, Contacts, cyclic symmetry, submodeling. Magnetostatic. ANSYS Maxwell, Geometry, Magnetostatics analysis, Transient analysis. Exercises and final project.
14. DYNAMIC MODEL OF BALANCE OF PLANT ON SIMULINK.

Lecture Notes and presentations
Wesson, Tokamaks, Oxford University Press
Pucella, Segre, Fisica dei plasmi, Zanichelli
Ariola, Pironti, Magnetic Control and Tokamak Plasmas, Springer

1. INTRODUCTION AND EQUILIBRIUM CONFIGURATIONS. Introduction to energy fusion. Magnetic flux e field: normalized flux and radius coordinates. Equilibrium of an axisymmetric toroidal configuration; derivation of Grad-Shafranov equation; plasma shape in a tokamak.
2. INTRODUCTION TO PLASMA PHYSICS. Classification of plasmas, Debye length, collisions between charged particles, collisional slowing-down, plasma resistivity. Fusion reactor scheme, power balance, Lawson criterion, Ideal ignition temperature.
3. PLASMA DIAGNOSTICS, CIRCUIT MODELS AND HEATING. General description of main plasma diagnostics. Magnetic diagnostics. Circuit models (for plasma, poloidal field coils and conducting structures); transformers; plasma current induction; magnetic flux balance; time evolution of tokamak scenarios; tokamak time scales. Introduction to plasma current, position, shape control systems: plasma radial position and current control, vertical stabilization of elongated plasma. Eddy currents and magnetic forces. Overview of Plasma Heating and Current Drive.
4. TOKAMAK LOAD ASSEMBLY: FROM CONCEPTUAL DESIGN TO REALIZATION. Introduction. Toroidal Field Coil System. Poloidal Field Coil System. Vacuum Vessel. Divertor and First Wall. Cooling. Assembly maintenance (remote handling). Supply System.
5. NEUTRONIC. Basic neutron physics and breeding concept, introduction to neutron transport, neutronics and activation calculations. Introduction to neutron sources and material damage.
6. DISRUPTIONS, VDE, PLASMA SCENARIO, MAGNETIC DIAGNOSTICS. Review of Circuit models for plasma, poloidal field coils and conducting structures, Transformers, Plasma current induction, Magnetic flux balance. Time evolution of a tokamak scenario, Tokamak time scales, Disruptions and VDE, Eddy and halo currents, DTT VDEs. MAXFEA code: equilibrium and disruptions.
7. POWER EXHAUST ISSUES: PHYSICS AND TECHNOLOGY. Fundamental physics relations in the SOL, Validating our understanding in present devices. Numerical tools, Making the step to larger devices. Design of Actively Cooled Plasma Facing Components (PFCs), thermos-hydraulic design of a divertor plasma facing components. Preliminary investigation on W foams as protection strategy for advanced PFCs.
8. OVERVIEW ON TODAY POWER SUPPLY SYSTEMS FOR TOKAMAKS IN VIEW OF DEMO. The Problem of Energy Resources: Nuclear Fusion Power Plant, Power Supplies & Semiconductor Devices, Diodes & Thyristors, AC-DC Rectifiers, EU-DEMO Fusion Power Electrical System, Balance-Of-Plant (HCPB/WCLL); Major EU-DEMO subsystems (lessons learnt from ITER); EU DEMO Power Demand (SSEN–PPEN)
9. OPTIMIZATION AND INVERSE PROBLEMS IN MAGNETIC FUSION RESEARCH. Optimization Problems: Modelling, Optimization, Linear Programming, Linear Programming in Matlab, Quadratic Programming, Descent Methods, Exercises. Design of high flux expansion experiments in jet tokamak via optimization of the divertor coils current
10. SUPERCONDUCTORS: THEORY AND FUSION APPLICATION. The phenomenon of superconductivity: principles, phenomenology and materials. The main applications of superconductors. The technology of superconducting magnets for nuclear fusion: ITER and DTT.
11. THE ERA OF THE ATOM: ONE CENTURY AHEAD THE BOHR MODEL (seminar).
12. ADDITIONAL HEATING SCHEMES FOR TOKAMAKS. Scope of additional heatings, additional heating techniques, NBI, ICRH, ECRH, Task for HCD systems.
13. MECHANICAL AND ELECTROMAGNETIC FEM ANALYSIS OF TOKAMAKS COMPONENTS. Mechanical analysis of superconducting magnet systems: Central Solenoid (CS), Poloidal Field (PF) coils and Toroidal Field (TF) coils (FEM strategies: issues and applications (DEMO, DTT), Steady state and transient simulations. Liquid metals as PFC. Electromagnetic analysis of magnet system and metallic components (VV, in-vessel coils, etc.), Steady state and transient simulations. ANSYS Workbench modules, Geometry (FE Modeler/SpaceClaim), Static structural, Contacts, cyclic symmetry, submodeling. Magnetostatic. ANSYS Maxwell, Geometry, Magnetostatics analysis, Transient analysis. Exercises and final project.
14. DYNAMIC MODEL OF BALANCE OF PLANT ON SIMULINK.

1 - Lectures notes
2 - Wesson, Tokamaks, Oxford University Press
3 - Pucella, Segre, Fisica dei plasmi, Zanichelli
4 - Ariola, Pironti, Magnetic Control and Tokamak Plasmas, Springer