Lecture04

Lecture04 - Page 1 Fundamentals of Power Systems Lecture 4 1 Ideal 1~ Transformer Model Source Load V 2 V 1 N 1 N 2 Ideal 2 1 N N a i 2 i 1 1 2 2 1

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Unformatted text preview: Page 1 Fundamentals of Power Systems Lecture 4 1 Ideal 1~ Transformer Model Source Load V 2 V 1 N 1 N 2 Ideal 2 1 N N a i 2 i 1 1 2 2 1 2 1 2 1 i i e e v v N N a I O I O 2 2 1 1 , N N 2 2 1 1 , e v e v Flux linkages (winding flux) z Dot convention ¡ Current into doted end produces positive MMF (N·I) or “ampere-turns” ¡ Therefore, orientation of i 1 and i 2 must be as shown to cancel MMF which is necessary to maintain a finite flux in an “ideal (iron) core” Z L Fundamentals of Power Systems Lecture 4 2 Loads on an Ideal Transformer 2 2 2 L V I I Z T T ¡ q ¡ ¢ ¡ 2. Calculate the load current from the voltage and load impedance q ¡ q ¡ 2 1 2 V a V V 1. Solve for the secondary voltage 3. Solve for the primary current T T ¢ ¡ ¢ ¡ 1 2 1 I a I I 2 2 1 2 2 1 2 2 in L V a V V Z a a Z I I a I Equivalent modeling: Page 2 Fundamentals of Power Systems Lecture 4 3 Example: Ideal 1~ Transformer See Book, Example 3-1, p. 90 Fundamentals of Power Systems Lecture 4 4 Real Transformer: Magnetizing Inductance Flux density B [Vs/m s] or [T] Flux I [Vs] or [Wb] Magnetic field strength H [A/m] Magnetomotive force (MMF) ¡ [A-turns] Saturation In linear region I = ¡ / ¢ = i m ·N/ ¢ ¢ … reluctance, “resistance” of magnetic circuit 2 m m m m Ni di di d N e N L dt dt dt § · ¨ ¸ ¢ ¢ © ¹ p p S S N i N i ¡ £ Page 3...
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This note was uploaded on 02/01/2012 for the course EEL 3216 taught by Professor Brooks during the Spring '08 term at FSU.

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Lecture04 - Page 1 Fundamentals of Power Systems Lecture 4 1 Ideal 1~ Transformer Model Source Load V 2 V 1 N 1 N 2 Ideal 2 1 N N a i 2 i 1 1 2 2 1

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