29 September 2023
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Power Materials • Multiphysics Modeling • Materials to Systems

## Education

Electrical Engineering and Energy
• Electromagnetism ;
• Single and three-phase systems ;
• Rotating fields ;
• Direct current generators ;
• Alternators ;
• Asynchronous generators ;
• Transformers ;
• Electrical power transmission and distribution networks ;
• Electrical power quality and harmonic pollution
• Electromechanical systems and Machines
• Main energy sources ;
• Primary energy to electrical energy conversion systems ;
• Sizing of electrical energy production facilities ;
• Renewable energies and energy transition ;
• Photovoltaic and wind power generation ;
• Storage of electrical energy ;
• Fuel cells.
Materials and electrical reliability
• Diélectrics and semi-conductors materials
• Reliability of industrial systems
• Conduction and transport of electrical charges in dielectrics ;
• Space charge ;
• Aging of materials ;
• Electrical contacts ;
• Electromagnetic disturbances: sources and remedies ;
• Protection against lightning ;
• Concept of continuous medium ;
Fluid Mechanics
• Real fluid dynamics ;
• Concept of continuous medium ;
• Principle of statics ;
• Kinematics in fluid mechanics ;
• Bernoulli's theorem, flow and velocity measurement, Pitot tube, determination of linear and singular pressure drops in pipe flows ;
• Generalized Bernoulli's theorem ;
• Quantity of motion theorem for the calculation of the resultant of surface actions ;
• Real Newtonian fluids ;
• Local forms of the balance equations (continuity equation, Navier-Stokes equations, energy equation) ;
• Establishment of the main academic solutions of the Navier-Stokes equations (plane and cylindrical Poiseuille flows, Couette and Taylor-Couette flows) ;
Multiphysics modeling and Simulation
• Discretization techniques and numerical schemes : Notion of meshes, Discretization of differential operators (finite difference method, finite volumes and finite elements), Temporal integration, explicit and implicit schemes ;
• Python and Fortran programmation of numerical methods
• Numerical stability, numerical errors, diffusion and numerical dispersion ;
• Resolution of incompressible Naviers-Stokes equations : Velocity-pressure coupling algorithms, Boundary conditions for the Naviers-Stokes equations ;
• Solving large hollow linear systems : Direct and iterative methods.
• Learning of the Ansys-Multiphysics and Comsol Multiphysics computational code : Near-processing, Geometry and meshing (Design-Modeler and Meshing), Processing and parameterization of these industial solvers, Post-processing with Comsol and CFD-Post software ;
Mathematics (Differential analyse)
• Coordinate systems. Scalar and vector product ;
• Partial derivatives ;
• Differential operators : Divergence - Gradient - Rotational - Laplacian ;
• Flux of a vector field ;
• Particle derivative ;
• Transport theorem ;
• Differential equations of 1st and 2nd order ;
Heat Transferts
• Conduction Transfert ;
• Convection Transfert ;
• Boussinesq approximation ;
Electrofluidodynamics (Interfaces between Electrical engineering and Fluid mechanics)
• Theory of EFD phenomena: Plasma actuators, Electric double layers, Electrostatics of granular media, Charge injection phenomena ;
• Application of EFD phenomena: Plasma flow control, Electric actuator pumps, Flow electrification, Electrostatic separator ;
Vibration
• Resonance frequency and eigenmodes of vibrations ;
• Discrete systems ;
• Continuous approach to vibrations ;
Multiphysics experimental techniques and projects
• Métrology ;
• Signal analysis ;
• Particle image velocimetry (PIV) ;
• Infrared thermography ;
• Flow measurement ;
• Acoustics and Vibration measurements ;
• High and low current ;
• Electrical properties ;
• Numerical data traitment and analysis ;
• Realization of a balance sheet of electrical consumption of a family and industrial unit ;
• Study of an industrial photovoltaic installation ;
• Study of a wind farm of power ;
• Study of the dimensioning of an electrical network ;
• Study of an individual hydroelectric micro power plant ;
• Realization of a thermal energy balance of a public building ;
English and Professionnal tools
• English (TOEIC validation) ;
• Professional communication ;
• Industrial performance management, economic and financial management of innovation,
• sustainable development ;
• Environmental law and intellectual property ;
• Eco-design and circular economy ;
• Help with professional integration ;
Electrical systems and Energy
• Fields of application of power electronics ;
• Operation of semiconductors in power electronics ;
• Study of transients on RC and RL ;
• Study of diode and thyristor rectifiers - 4 quadrant operation ;
• Study of choppers and application to the control of an electric motor ;
• Study of inverters, PWM control ;
• Electromechanics and study of the direct current machine in motor and generator operation ;
Fluid mechanics
• Generalities and fundamental concepts ;
• Equations of motion of non-viscous fluids ;
• Fluid statics ;
• Permanent irrotational motion of a perfect barotropic fluid ;
• Real fluids, pressure drops ;
• Integral balances for a Newtonian fluid ;
• Theorems of momentum or Euler and kinetic energy ;
• Isentropic compressible flow or in the presence of straight or oblique shock waves ;
• Waves and free surface ;
Mathematics and numerical methods
• Vector analysis and matrix calculation ;
• Partial derivatives ;
• Differential operators : Divergence - Gradient - Rotational - Laplacian ;
• Multiple integrals ;
• Complex numbers ;
• Exact solution method for some classes of differential equations ;
• Numerical solution of equations ;
• Linear systems (direct methods, iterative methods) : Gauss, LU decomposition, Cholesky, Thomas / Jacobi, Gauss-Seidel, relaxation...
• Non-linear equations : dichotomy, false position, string, secant, Newton, Newton-Raphson) ;
• Interpolation and approximation : polynomial interpolation, Lagrange, Newton / least squares ;
• Derivation / Integration / Richardson's extrapolation : finite differences / rectangles, trapezoids, midpoint, Simpson, Romberg ;
Computing sciences
• Study of the practices ;
• Data Structures ;
• Fundamental algorithms ;
• Optimization of computational code ;
• Advanced structures (stacks, hash tables, trees) ;
• Use of libraries and external modules ;
Signal treatment and Measuring chain
• Deterministic signal acquisition and processing chain: generic characteristics of sensors (transduction, sensitivity, ...) ;
• Fourier transformation of signals and spectral analysis ;
• Filtering and sampling ;
• Fourier transformation of discrete time signals ;
• Pressure, temperature and sound sensors ;
• Functional blocks: Extractor -sensor- conditioner -processing block -analog to digital converter ;
• Active filtering ;
• Instrumentation amplifier ;
• Influence quantity and sensitivity ;
Energy ressources
• Electrical Energy Production by Wind Turbine ;
• Photovoltaic Electricity Production ;
• Hydroelectric Power Generation ;
• Gas turbine power generation (compressed air energy storage) ;
• Electrical Energy Production by Fuel Cells (Hydrogen Storage and Production) ;
• Thermal energy storage ;
• Principle of High Voltage Electrical Energy Transport ;
Analytical mechanics
• Fundamental principle of dynamics ;
• Inertia matrix ;
• Kinetic energy ;
• Energy: power, work, potential energy ;
• Principle of virtual work - Lagrange's equation ;
• Kinetic energy theorem ;
• Lagrange multiplier ;
• Equilibrium and stability ;
• Linearization, initiation to linear vibrations ;
Thermodynamics
• Thermodynamics of machines: 1st principle in closed system and open system, 2nd principle in open system ;
• Characteristic equations of thermal and energetic state ;
• Laws of state and thermodynamic diagrams ;
• Thermal machines: efficiency, motor cycle, cold cycle, turbines and compressor, heat pump ;
• Complete thermodynamic cycle of an industrial installation ;
Automatics
• Real systems and their modeling ;
• Laplace transformation ;
• Representation of linear physical systems by transfer function: gain, order, poles and zeros ;
• Representation by block diagrams ;
• First and second order systems ;
• Transient and harmonic analysis ;
• System performance: stability, speed and accuracy ;
• Servo systems: feedback (closed loop), analysis and stability criteria (Nyquist, Routh), stability margins (gain and phase) ;
• Correction and performance improvement of a servo system: correction structures (feedback, feedfoward, CMI, RST, ...) ;
• Synthesis of phase advance/delay correctors (P, PI and PID) ;
• System regulation/servoing: thermal, electrical, mechanical, hydraulic ;
English and Professionnal tools
Electronics systems and Physics
• Main circuits of analog electronics : Voltage quadrupole amplifier, Passive filtering, DC/AC amplifier setups, Frequency response of an inverting amplifier...
• Digital electronics : Numeration and coding, Boolean algebra and logic functions, characterization of logic gates, functionalization, Karnaugh table...
• Manufacture of electronic boards PCB ;
• Sine wave oscillator and related specialized circuits ;
• Phase locked loop ;
• Analog or digital frequency synthesis ;
• Basic signal processing and transmission chain ;
• Spectrum analysis ;
• Fourier transforms ;
• Sampling ;
• Computation of Z-transforms, inverse transforms, solving recurrent equations ;
• Random variables and uncertainties (noise...) ;
• Propagation in cables: Line in impulse regime. Phenomenon of reflection on a line according to the termination of the line: Impedance adaptation, Impact on the integrity of the transmitted signal. Weakening in a line ;
• Electromagnetic compatibility : Notions on electromagnetic waves. Types of disturbances - Different modes of coupling. Problems of mass and potential reference, shielding potential, shielding Normative aspects ;
Electrical engineering
• DC/DC conversion: chopper, switch mode power supply concept ;
• DC/AC conversion: voltage inverter, PWM ;
• Alternating current machines : notion of rotating field, alternator, asynchronous motor ;
• Association asynchronous motor - voltage inverter ;
• Speed variation of asynchronous motors ;
• Speed variation of brushless motors ;
• Speed variation of DC motors ;
• Stepper motors ;
• Statistical Process Control - Reliability ;
Mathematics
• Trigonometry and Differential equations;
• Complex Fourier series ;
• Dirac impulse, convolution product ;
• Reminders on arithmetic and geometric series ;
• Convergence of numerical series ;
• Convergence of integer series, development of a function in integer series ;
• Matrices: definition and elementary properties ;
• Introduction to functions of several variables ;
• Vector spaces, sub-vector spaces ;
• Linear applications, matrices of linear applications ;
• Change of bases ;
• Diagonalization ;
• Calculations on functions of several variables, multiple integrals ;
Computing engineering
• Implementation, installation, configuration and diagnostics of a communication network ;
• Programmation C/C++, VHDL languages
• Engineering computing softwares : MatLab, Labview, Protel, LTSpice, Pspice, Psim...
Network
• Implementation, installation, configuration and diagnostics of a communication network ;
• General data transmission methods and techniques General modeling of industrial communication networks: automation, home automation, building automation ;
• Concepts of industrial communication networks and network classification ;
• Ethernet as an industrial communication solution, locally or remotely (TCP/IP) ;
• Create a local network based on TCP/IP protocols by choosing the necessary components and knowing how to set their parameters ;
• Implement one or more serial transmissions (SPI, RS232, I2C, CAN, LIN,...) between components or between electronic boards ;
• To know how to configure a connectable wired or non-wired module ;
• List a dictionary of useful data ;
• Model the relationships between tables ;
• Implement a database ;
• Query a database ;
• Interfacing a database : with a networked industrial system (control, management, maintenance, traceability) - with the operator (remote interrogation of the database, presentation of results) ;
Automatics
• Transfer diagram ;
• Identify a system in its environment ;
• Analyze the static and dynamic performance of a system and a controlled system ;
• Principles of correction of controlled systems ;
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