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Test #1 Handout Mutual Inductance and Linear Transformers

Test #1 Handout Mutual Inductance and Linear Transformers

Test #1 Handout Mutual Inductance and Linear Transformers

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ECEN 2633 – <strong>Test</strong> <strong>#1</strong> <strong>H<strong>and</strong>out</strong><strong>Mutual</strong> <strong>Inductance</strong> <strong>and</strong> <strong>Linear</strong> <strong>Transformers</strong>| |[( ) ( )] ( )Ideal <strong>Transformers</strong>√ ( )AC Informationv V m (ωt φ) fV ZI V eff ZI effTωπRectangular to Polar conversionV A jB √A B ∠− B A °Polar to Rectangular conversionV V m ∠φ° V m φ jV m φ(Note that V m is a magnitude <strong>and</strong> should be positive, thusangle needs to reflect the change)Complex Number IdentitiesjjjLagging power factor: implies that the current lags thevoltage – hence inductive loadLeading power factor: implies that the current leadsthe voltage – hence capacitive load


ECEN 2633 – <strong>Test</strong> <strong>#1</strong> <strong>H<strong>and</strong>out</strong>Phasor diagrams showing the relationshipbetween line-to-line <strong>and</strong> line-to-neutralvoltages in a balanced system. (a) The abcsequence. (b) The acb sequencePhasor diagrams showing the relationshipbetween line currents <strong>and</strong> phase currents ina -connected load. (a) The positivesequence. (b) The negative sequence.

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