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Mathematical Modelling and Numerical Analysis in Electrical Engineering

Mathematical Modelling and Numerical Analysis in Electrical Engineering

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This special issue focuses on the mathematical modelling and numerical analysis methods employed in electrical engineering applications. The 11 manuscripts included utilize various analytical and computational techniques such as parameter modelling methods and numerical analyses to solve engineering problems in domains such as electric motors, power systems. One of these papers investigates line-start permanent magnet synchronous motors and explores the starting performance when parameters such as the supply voltage and cable length are varied; in addition, simulation and experimental methods are employed to characterize the motor behavior. Another study employs the finite element modelling technique to study the electric field distributions for lightning rod design. Additionally, optimization techniques such as the Nelder–Mead algorithm are applied to optimize a synchronous homopolar motor. Mathematical and numerical analyses of the induction and flux-switching motors are also presented. Transient simulations of the starting and synchronization processes, which incorporate the lumped parameter motor models of a line-start permanent magnet synchronous motor, are also undertaken. Other studies employ accurate models that have been developed for adjustable permanent magnet couplers, external magnetic fields and switched reluctance motors. Validation using finite element analyses and experiments demonstrates the feasibility and superiority of the proposed modelling approaches. The broad range of topics addressed reflects the extensive application of analytical techniques in electrical engineering research.

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Keywords

  • adjustable permanent magnet coupler
  • air insulation
  • analytical design
  • average torque control
  • brushless
  • centrifugal fans
  • centrifugal pumps
  • charge transfer system (CTS)
  • Classification
  • constant power speed range
  • corona discharge
  • cost/reliability assessment
  • Diagnosis
  • direct instantaneous torque control
  • electric car
  • electric field analysis
  • Electric motors
  • electrically excited synchronous motor
  • electromagnetic field analytical modeling
  • energy efficiency class
  • energy saving
  • enhanced artificial rabbits optimization
  • equivalent magnetic circuit
  • ferrite magnets
  • finite element analysis
  • finite element analysis (FEA)
  • Finite element method
  • finite-element analysis
  • firing angles
  • Fuel cell
  • high impedance fault
  • lightning rod protection
  • line-start permanent magnet synchronous motor
  • lithium-ion battery
  • magneto-tomography
  • Mathematical model
  • Maxwell–Fourier method
  • modeling
  • motor starting
  • multi-layer model
  • Nelder–Mead method
  • Numerical analysis
  • Optimal design
  • optimal design of electric machines
  • optimal sizing
  • optimization
  • parametric expression of eddy current circuit
  • performance estimation
  • photovoltaic pumping system
  • power system
  • probability of interrupted water
  • prototype verification
  • simulation model
  • sizing
  • squirrel-cage induction motor (SCIM)
  • subway train
  • support vector machine
  • switched reluctance motor
  • synchronous homopolar motor
  • thema EDItEUR::P Mathematics and Science
  • thema EDItEUR::P Mathematics and Science::PB Mathematics
  • thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics
  • traction drive
  • universal torque control
  • wavelet packet transform
  • wound-field flux switching motor (WFFSM)

Links

DOI: 10.3390/books978-3-7258-1774-0

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