MEB parcours
Principaux parcours académiques diplomants, études postdoctorales non comprises.
Main academic background
Electrical Engineering and Energy
 Electromagnetism ;
 Single and threephase 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.
 Diélectrics and semiconductors 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 ;
 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, NavierStokes equations, energy equation) ;
 Establishment of the main academic solutions of the NavierStokes equations (plane and cylindrical Poiseuille flows, Couette and TaylorCouette flows) ;
 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 NaviersStokes equations : Velocitypressure coupling algorithms, Boundary conditions for the NaviersStokes equations ;
 Solving large hollow linear systems : Direct and iterative methods.
 Learning of the AnsysMultiphysics and Comsol Multiphysics computational code : Nearprocessing, Geometry and meshing (DesignModeler and Meshing), Processing and parameterization of these industial solvers, Postprocessing with Comsol and CFDPost software ;
 Coordinate systems. Scalar and vector product ;
 Partial derivatives ;
 Differential operators : Divergence  Gradient  Rotational  Laplacian ;
 Flux of a vector field ;
 GreenOstrogradky theorem ;
 Particle derivative ;
 Transport theorem ;
 Differential equations of 1st and 2nd order ;
 Conduction Transfert ;
 Convection Transfert ;
 Radiative Transfert ;
 Boussinesq approximation ;
 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 ;
 Resonance frequency and eigenmodes of vibrations ;
 Discrete systems ;
 Continuous approach to vibrations ;
 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 (TOEIC validation) ;
 Professional communication ;
 Industrial performance management, economic and financial management of innovation,
 sustainable development ;
 Environmental law and intellectual property ;
 Ecodesign and circular economy ;
 Help with professional integration ;
 Business creationtakeoverInternational opening ;
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 ;
 Generalities and fundamental concepts ;
 Equations of motion of nonviscous 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 ;
 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, GaussSeidel, relaxation...
 Nonlinear equations : dichotomy, false position, string, secant, Newton, NewtonRaphson) ;
 Interpolation and approximation : polynomial interpolation, Lagrange, Newton / least squares ;
 Derivation / Integration / Richardson's extrapolation : finite differences / rectangles, trapezoids, midpoint, Simpson, Romberg ;
 Study of the practices ;
 Data Structures ;
 Fundamental algorithms ;
 Optimization of computational code ;
 Advanced structures (stacks, hash tables, trees) ;
 Use of libraries and external modules ;
 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 ;
 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 ;
 Fundamental principle of dynamics ;
 Inertia matrix ;
 Kinetic energy ;
 Energy: power, work, potential energy ;
 Principle of virtual work  Lagrange's equation ;
 Kinetic energy theorem ;
 Systems with linkage ;
 Lagrange multiplier ;
 Equilibrium and stability ;
 Linearization, initiation to linear vibrations ;
 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 ;
 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 ;
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 Ztransforms, 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 ;
 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 ;
 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, subvector spaces ;
 Linear applications, matrices of linear applications ;
 Change of bases ;
 Diagonalization ;
 Calculations on functions of several variables, multiple integrals ;

 Implementation, installation, configuration and diagnostics of a communication network ;
 Programmation C/C++, VHDL languages
 Engineering computing softwares : MatLab, Labview, Protel, LTSpice, Pspice, Psim...
 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 nonwired 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) ;
 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 ;
Ce parcours n’intégrant pas les diplômes relevant d’études musicales, pastorales et associatives.