1> If you are paralleling with the utility already, just open the governors up a little and you will back feed and load up the sets.
2> Synchronizing. The basic method is synchronizing lights. The next step is a synchroscope. This tells the operator whether the unit coming online is running fast or slow, and when the phase relationship is right for synchronizing. Both these methods check phase relationships only. It is the responsibility of the operator to check that the voltages are equal before closing. There are relays to completely automate this procedure and also check and adjust the voltages.
"Also, how can I perform task like short-circuit calcualtions, or protective relay coordination without an expensive program?" This is a little more than we may be able to teach you in this forum. Much of the shortcircuit calculations will be preformend by the utility engineers to determine how the added capacity will affect the utility system. If you are already paralleling, this will have already been done.
You need to talk to an expert.
The first experts will be the engineers at the utility. They will tell you what they require for protection. Then you will need an engineer to design and install the system.
I understand that you may be in a position such that you have to gather a lot of basic information and pricing before you can get authorization to spend any money. There are still experts available that will help you at no cost. They are called "Sales Reps."
First, talk to the utility, then, start looking for sales reps for information and pricing on the equipment.
A quick run through, you will need a breaker or contactor to connect the plant to the utility. You will need a breaker or contactor to connect the plant to the genset. This is fairly straight forward. Now if you close both breakers at the same time, you are paralleled.
When the plant was originally designed, short circuit calculations were done to ensure that all the breaker were selected and co-ordinated so that a serious short curcuit could be interupted without any of the breakers failing.
Now, if you add 6 megawatts of power to the system by paralleling, the available fault current increases for the system. The original calculations for both your plant and for neighboring industrial plants is no longer valid. This maens that with your generators on-line, a serious short circuit at another plant may result in a breaker exploding rather than interupting the current.
Among other things, the utility will now meter current in both directions.
Paralleling is done one step at a time. Once a set is paralleled with the system it is part of the system. Then the next set is paralleled with the system.
You don't parallel all three sets and then connect them as a group to the system. There is another recent thread where a gentleman is trying to do some tests with unloaded gensets in parallel. To find out why you don't want to parallel unloaded generators check out thread238-153502
I hope this helps
yours