OK.
You have a five-phase machine, with two coils for each phase.
Calling your five phases "V, W, X, Y, and Z" your coils (picking an arbitrary start point and working around the stator) are V, X, Z, W, Y, V, X, Z, W, Y. Thus the two coils opposite each other are of the same phase.
The senses of all the coils are the same, i.e. the start always represents the same polarty of its phase, the end always the other. This means several things:
1) You can hook the two coils of the same phase in series by hooking start on one to end on the other and using the unhooked start and end as the start end end of the double-voltage composite winding.
2) You can hook the two coils of the same pase in parallel by hooking the starts together and the ends together, and using the tied starts as the start of the double-current composite winding, the tied ends as the end ditto.
3) You have no problem identifying the start and end of the various phase windingswhen you're combining multiple phases.
Once you've tied the two coils of each phase together there are several ways to connect them. (Output voltage of 1 is what you'd get rectifying one coil alone.)
- Separate rectification (10 AC terminals on your bridge rectifier): Tie each start and each end to a bridge rectifier AC input. Output voltage is 1 unit if each phase's coils are paralleled, 2 units if seriesed.
Two variations on Y:
- 5-phase star (a five-pointed asterisk, the N-phase analog of the "Y"): Tie all the starts. The ends are your five phases. Output voltage: 2 * cos(36 degrees) = 1.62 units if paralleled, 3.24 units if seriesed.
- 10-phase star: Same as the seriesed version of separate rectification above, but with the jumpers between the two coils for each phase tied together. Output 2 units. (No particular advantage vs. separate rectification except that you get a good center-tap.)
Two variations on Delta:
- Pentagon: Tie: Vend-Wstart, Wend-Xstart, Xend-Ystart, Yend-Zstart, Zend-Astart. Outputs are these 5 ties. Output voltage: 2 * cos(36 degrees) = 1.62 units if paralleled, 3.24 units if seriesed.
- Pentagram (christmas star): Tie: Vend-Xstart, Xend-Zstart, Zend-Wstart, Wend-Ystart, Yend-Vstart. Outputs are these three ties. Output votlage: 1 unit if paralleled, 2 units if seriesed.
The pentagram gives you the same voltage as separate rectification, but only needs five AC terminals (10 diodes) rather than 10 AC terminals (20 diodes) in your bridge, and five rather than ten wires from the genny to the bridge. It may also give you somewhat more current (but if so will dissipate disproportionatly more heat in the stator).
The pentagon gives you the same voltage as the 5-phase star but may give you significantly substantially more current.
Both the pentagram and the pentagon may also produce some circulating currents and resulting losses and drag due to harmonics in the generation waveform.