I have a 8-pole synchronous machine (as a generator), which is rated to produce 1000 kVA. Its synchronous reactance is 0.4 Ohms. It is connected to a diesel engine with the grid frequency 60 Hz. The load is resistive type, 500 kW, 480 V. I need to calculate the speed, power factor and power angle.
I know the following:
- Speed can be calculated by: $n = 120 \cdot \frac{f}P$ , where $f$ is frequency (60 Hz) and $P$ are poles (8) ... and we get the result 900 rpm.
- Power factor can be calculated by: $\mathrm{PF} = \cos(\mathrm{PA})$, where $\mathrm{PF}$ is power factor, $\mathrm{PA}$ is power factor angle (is that the same as power angle?)
So, how can I calculate power factor and power angle?