class: center, middle # EE-361 ELECTROMECHANICAL ENERGY CONVERSION ## Ozan Keysan [keysan.me](http://keysan.me) Office: C-113
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Tel: 210 7586 --- # What is an Inductor? --  --- # Relation between Magnetic and Electric Circuits -- ## \\( V\_L = N \dfrac{d \Phi}{dt}= N \dfrac{d \Phi}{di} \dfrac{di}{dt}\\) -- ## \\( V\_L =L \dfrac{di}{dt}\\) --- # Inductance ## Inductance is the flux linkage created per ampere ## \\( L = N \dfrac{d \Phi}{dI}= \dfrac{d \lambda}{d I}\\) --- # Inductance ## If the inductance of an inductor with N turns is L. ## What happens to inductance if number of turns is doubled? -- ###In linear system (air-cored inductor): ## \\( L = N \dfrac{\Phi}{I}= \dfrac{d \lambda}{d I}\\) --- # Inductance ## \\( L = \dfrac{N^2}{R} = \dfrac{N^2 \mu A }{l}\\) ## Inductance increases with \\(N^2\\) --- #Example ## Toroidal Inductor
--- # Mutual Inductance: ## Magnetic Interaction between two coils. ## Exists if current in one coil induces voltage in another coil. [Example](https://www.miniphysics.com/uy1-mutual-inductance.html) --- # Mutual Inductance: ## \\( V_{2} = M \frac{dI_1}{dt} \\)
--- # AC Excitation -- ## \\(\Phi(t) = \Phi_{max} sin (wt)\\) -- ### Linear magnetic material
--- #AC Excitation Non-linear B-H material
--- # AC Excitation ### Non-linear B-H material
--- # Non-linear B-H with Hysteresis
--- #Phasors in Inductors ### In ideal inductor current lags voltage by 90 degrees
[Need a Reminder?](http://keysan.me/presentations/ee281_phasor_circuit_analysis.html) --- ## You can download this presentation from: [keysan.me/ee361](http://keysan.me/ee361)