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Electrical Machinery Analysis

Electrical Machinery Analysis. Introduction. Principles for electrical machine analysis : Electromechanical energy conversion is fundamental Electromechanical torque paremater : Current and displacement of mechanical system Derivations of equivalent circuit Concept of MMF

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Electrical Machinery Analysis

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  1. Electrical Machinery Analysis

  2. Introduction • Principles for electrical machine analysis : • Electromechanical energy conversion is fundamental • Electromechanical torque paremater : Current and displacement of mechanical system • Derivations of equivalent circuit • Concept of MMF • Sinusoidally distribution of windings • Derivations of windings inductance

  3. MagneticallyCouple Flux linking for each coil • Fundamental for transformer dan electrical machine operation. • Components : • Core (µrgenerally 2000-80000 ; µsteel = 2000-4000 ; µo = 4π x 10-7 H/m) • winding/coils Voltage equation : Flux linkage

  4. Linear Magnetic System i1 in • If saturation is neglected H (A/m) Flux intensity Ampere law : Where reluctance : Ni = MMF µ= µo µr

  5. Flux Flux Linkage When system is linear, flux linkage is experessed by inductance and current. Finally, Flux Linkage : Magnetizing Inductance Coil 2 Leakage Inductance Coil 2

  6. Equivalent T circuit Using the substitute variable i2’, when flowing throuh coil 1 produce the same MMF as actual i2 flowing to coil 2. Voltage equation Equivalent Circuit with coil 1 as reference where where

  7. Example • Open circuit and short circuit test of transformer • Open circuit coil 2 : power input to coil 1 = 12 W when applied voltage 100 V 60 Hz and current 1 A. • Short circuit test : power during test 22 W, applied voltage 30 V 60 Hz, current 1 A • Determine parameters in T equivalent circuit, reference coil 1 ? From Open Circuit Test r1 = 12 Ω and Xl1 + Xm1 = 109,3 Ω From Short Circuit Test Z = r2’ = 10 Ω , assume xl1=xl2’ xm = 109,3 – 10,2 = 99.1 Ω

  8. T equivalent circuit

  9. Non Linear Magnetic System • Magnetic system has non linearity when saturation is occured and cause heating due to hysterisis. Non linear for dynamic  transient analysis Numerical computation Flux density B B = µH µ= ΔB H ΔH

  10. Electromechanical Energy Conversion • Energy relationship Energy distribution : + E loss E stored E transfered

  11. Total energy transfer to the coupling field : E coupilng E dissipated Energy conservation in electromechanical system:

  12. Energy Balanced

  13. Electromechanical System Electric system : Electric energy: M = mass K = spring D = friction EE tranfs. to the coupling Mechanical system dynamic: EE tranfs. to the coupling

  14. Energy balance Differential form :

  15. Steady State and Dynamic Condition • Electrical system • Steady state behaviour • Mechanical system Constant voltage Constant mechanical force

  16. What is the diferent between magnet permanent and non permanent magnet material ?

  17. Electrical Motor Development • Basic Priciples of Electrical Machine Analysis • DC Machine • Reference Frame Theory • Induction Machine • Synchronous Machine • BLDC Machine

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