Calculating Power Output with a Load

The internal resistance of the source (our alternator) must be taken into effect to calculate power output with a load. The key difference between the Wye and the Delta arrangements lies in the total resistance of the coil arrangement. The total resistance of the Wye arrangement is three times as large as the total resistance of the Delta arrangement!

RtotalWye = 3 * RtotalDelta

Example 2:

Given:

Rotational speed of magnets = 1200 RPM voltage of one phase = Ecoii = 3 volts Load = a 1.2 volt rechargeable battery

RtotalWye = 15 ohms RtotalDelta = 5 ohms

Solve:

Calculate the total power when charging the battery for both the Wye and Delta coil arrangements.

Solution:

Wye Arrangement:

Etotal = Ecoil * V3 = Ecoil * 1.732 = 3.0 * 1.732 = 5.20 volts

The total voltage generated is 5.2 volts, and 1.2 volts are consumed by the load, the 1.2 volt rechargeable battery. For current computations we have 5.20 volts being generated minus 1.2 volts being consumed by the battery load, leaving 4.00 volts.

I = E / R = (5.2 - 1.2) volts / 15 ohms = 4.0 volts / 15 ohms = 0.27 amps P = E * I = 4.0 * 0.27 = 1.07 watts

The total power for the Wye arrangement is 1.07 watts.

Delta Arrangement:

The total voltage generated is 3.0 volts, and 1.2 volts is consumed by the load, the 1.2 volt rechargeable battery. For current computations we have 3.0 volts being generated minus 1.2 volts being consumed by the battery load, leaving 1.8 volts.

I = E / R = (3.0 - 1.2) volts / 5 ohms = 1.8 volts / 5 ohms = 0.36 amps P = E * I = 1.8 * 0.36 = 0.65 watts

The total power for the Delta arrangement is 0.65 watts.

What a difference! The Wye arrangement produces almost twice the power of the Delta arrangement when charging a 1.2 volt battery.

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