A three-phase, 250 hp, 2300 V, 60 Hz, Y-connected nonsalient rotor synchronous motor has a synchronous reactance of 11 ohms per phase. When it draws 165.8 kW, the power angle is 15 electrical degrees. Neglect ohmic losses. (a) Determine the excitation voltage per phase, Ef. (b) Determine the supply line current, Ia. (c) Determine the supply power factor. (d) If the mechanical load is thrown off and all losses become negligible, (i) Determine the new line current and supply power factor. (ii) Draw the phasor diagram for the condition in (i). (iii) By what percent should the field current I be changed to minimize the line current?

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6.8
A three-phase, 250 hp, 2300 V, 60 Hz, Y-connected nonsalient rotor synchronous motor has a
synchronous reactance of 11 ohms per phase. When it draws 165.8 kW, the power angle is 15
electrical degrees. Neglect ohmic losses.
(a) Determine the excitation voltage per phase, Ef.
(b) Determine the supply line current, Ia.
(c) Determine the supply power factor.
(d)
If the mechanical load is thrown off and all losses become negligible,
(i) Determine the new line current and supply power factor.
(ii) Draw the phasor diagram for the condition in (i).
(iii) By what percent should the field current I be changed to minimize the line current?
Transcribed Image Text:6.8 A three-phase, 250 hp, 2300 V, 60 Hz, Y-connected nonsalient rotor synchronous motor has a synchronous reactance of 11 ohms per phase. When it draws 165.8 kW, the power angle is 15 electrical degrees. Neglect ohmic losses. (a) Determine the excitation voltage per phase, Ef. (b) Determine the supply line current, Ia. (c) Determine the supply power factor. (d) If the mechanical load is thrown off and all losses become negligible, (i) Determine the new line current and supply power factor. (ii) Draw the phasor diagram for the condition in (i). (iii) By what percent should the field current I be changed to minimize the line current?
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