A three-phase, balanced, Y-connected source is supplying power to a A-connected unbal- anced load. If the generator has Van = 480Z0° V, Vm = 480/120° V, Ven = 480-120° V, and load impedances are ZA = 602-30°, ZB = 24230° , and Zc = 80/0°. Two wattmeters method is used for determining active and reactive power of the system where the first wattmeter is connected between phase-a and phase-b, and the second wattmeter is connected between phase-c and phase-b. (a) Calculate the readings if each wattmeter. (b) Show that the sum of the wattmeter readings equals the total average power delivered to the unbalanced three-phase load.

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A three-phase, balanced, Y-connected source is supplying power to a A-connected unbal-
anced load. If the generator has Van = 480Z0° V, Vm = 480/120° V, Ven = 480-120⁰ V,
and load impedances are ZA = 602-30°, ZB = 24230° , and Zc = 80/0°. Two
wattmeters method is used for determining active and reactive power of the system where
the first wattmeter is connected between phase-a and phase-b, and the second wattmeter is
connected between phase-c and phase-b.
(a) Calculate the readings if each wattmeter.
(b) Show that the sum of the wattmeter readings equals the total average power delivered
to the unbalanced three-phase load.
Transcribed Image Text:A three-phase, balanced, Y-connected source is supplying power to a A-connected unbal- anced load. If the generator has Van = 480Z0° V, Vm = 480/120° V, Ven = 480-120⁰ V, and load impedances are ZA = 602-30°, ZB = 24230° , and Zc = 80/0°. Two wattmeters method is used for determining active and reactive power of the system where the first wattmeter is connected between phase-a and phase-b, and the second wattmeter is connected between phase-c and phase-b. (a) Calculate the readings if each wattmeter. (b) Show that the sum of the wattmeter readings equals the total average power delivered to the unbalanced three-phase load.
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