Quick jump to 0% battery & Low Power notification

I've been experiencing a problem that looks like this:

1. Battery is at XX% (can be any percentage, but always double-digits, let's say 31%)
2. I start a task that is intensive on the processor (converting video, playing Football Manager)
3. Battery jumps to 0% and Low Battery notification is shown
4. Computer will turn off (Suspend?) within 10-20 seconds of this notification
5. I plug in the laptop to power
6. Battery starts charging from the initial XX% (ie, 31%)

Since plugging the laptop into power starts charging from the original battery percentage, and not 1%, I guess there is an issue with calculating the power consumption?

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