Bro I have Toyota Passo, X Package, 2013 model. I have driven in summers / winters, with / without AC, heater, day / night, headlights ON / OFF, etc. but never experienced any such thing. The issue does not seem normal to me.
First get your battery checked for voltage / current through proper instruments, and if there are no fluctuations and all values are within limits, then check alternator. Get these checked by any good electrician for any faults.