problems with the power supply

have a funny problem, if I listen to music for longer (about 40min – 1 hour) my car radio goes off all of a sudden and the condesator starts to beep, the radio can turn on immediately and the condenser stops beeping, but when I turn it louder, it goes off quite early, with about 15-30% of the loudness. of course with running motor. the voltage with running motor (measured at the cap) is 14.3V, if the motor is off about 12 – 13V are the first sign I already have a large 120A Lima in it. 2 amps 1x step k4.02 & sinus live sla 1500, HU blaupunkt milano, cable is 50mm2 from the battery to the amp all the time, radio is normal on the iso plug. woodran can it lie? thanks already for the help………