Ok so lets make this easier. Your power supply should have the following:
7 of these:
Which are 4 pin molex power connectors used for the last 20 years for powering 3.5" hard drives and optical drives.
8 of these:
Which are SATA Power connectors used for powering the standard SATA drives.
Now you might not have a standard SATA drive, and instead have an non-standard (for desktop), drive. Some of the first drives used the 4pin molex connections, because that is what everyone had in their computers. Then we saw the combination of both SATA power and 4pin in the same drive, and you were to only connect one or the other.
There is also the e-SATA connector:
They combined both power and data into 1 cable.
Finally there is the micro-SATA connector:
So you either have a SSD that uses a micro-SATA, or else you have something that has a proprietary pinout designed for laptops. Like the following: