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Файл:ИЭ / 6 семестр (англ) / Лекции+экзамен / Лекция 5_2022.ppt
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- •Advanced chapters of theoretical electroengineering.
- •Inductance of the two-wire transmission line per unit length
- •External fluxes
- •Total inductance
- •Forces. The first line.
- •Forces. The second line.
- •Solution of the Laplace’s equation by separation of variables.
- •Properties of the Laplace’s equation.
- •Choice of a coordinate system
- •Variable separation in cylindrical coordinates
- •Angular function
- •Radial function
- •General solution of the Laplace’s equation in a cylindrical coordinate system
- •Application of the variable separation method for the magnetic field modeling
- •Reduced scalar magnetic potential
- •Combination of scalar magnetic potential and the reduced magnetic potential
- •Combination of scalar magnetic potential and reduced magnetic potential
- •Combination of scalar magnetic potential and reduced magnetic potential
- •Magnetic field of the line current near a magnetized cylinder
- •The scalar potential induced by the current line
- •The current potential in the cylindrical coordinate system
- •The current potential in the complex plane
- •Expansion of the current potential in the cylindrical coordinate system
- •Potentials in the problem domain
- •Magnetic field intensity in the problem domain
- •Magnetic field intensity induced by the wire with the current
- •Definition of coefficients
- •Solution of the problem
- •Magnetic field directions
- •Inductance of the two-wire transmission line per unit length
- •The flux induced by the magnetized cylinder
The flux induced by the magnetized cylinder
The flux induced by magnetized cylinder:
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i r 1 |
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Additional inductance for the current line: |
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Additional inductance for the |
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two-wire current line: |
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2 r 1 |
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k 1 |
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