i had this, changed the car battery, and it stopped the alarm going off, you may find the Alarm goes off on Monday morning if the car has stood all weekend allowing the voltage to drop further.
Theory then is cranking the starter draws all the remaining volts which may already be low, the power sounder sees the voltage drop below limits and thinks a thief is disconnecting the car battery.
The power sounder then goes off independently with its own power source, which is there as a back up if the car battery is disconnected... or flat i suppose. If the car alarm is genuinely tripped under normal conditions you should get the horn alarm as opposed to the siren of the power sounder.
It is also possible the power sounder is playing up, i cut mine open to have a look at its internal batterys which had leaked very slightly but had not affected the circuit board. Pics of which can be seen in maintenance. Would recommend you do the same and have a look, if they leak they can bugger the circuit board and it may start going off at any time, even while your driving. For info, if you hear 4 pips from it they say the sounder is telling you its batterys are low. Never herd that with mine. And with a good circuit board and no pips I was happy the car battery was passed its best.
Oh yes, should add my lpg software has a battery voltage indicator included, this showed the battery to be low. Strangely Kevins tech 2 showed a slightly higher voltage but still a fraction low, and considering i had just driven the car for an hour and only been stood for a further hour when Kevin looked at it, all added to the case for a new battery.
Hth
Ps. see Kevins step by step guide for checking your battery, if you have a meter, or slightly easier, get The Boy to have a look, you wont find better. :-)