You're getting there anyway... Unlike the posts from many others which have as much in common with reality as the wisdom of david icke.
A reservoir being kept at a constant level by buckets full of water being flung in from a high cliff above it is about as close an analogy as you'll get and in many ways a very good one. There's nothing "smooth", "flowing", "steady", "clean" about the process at all! Quite violent really... 100m cliff, here comes another bucket full... sploosshh!!!
A large flywheel being kept rotating by energy from repeated hammer blows would be another way of looking at it.
Both fit. This is why a smoothing capacitor has its name... smoothing those hammer blows into steady rotation... the bigger the smoothing cap = the larger and heavier the flywheel and hence the less noticeable is each hammer blow to the smoothness of the rotation.
A smoothing cap is also known as a reservoir capacitor funnily enough The bigger the reservoir the less effect each bucket full has... hence "ripple voltage" of a power supply and "ripple current rating" of electrolytics! See I said it was a good analogy
Water taken to cliff edge, hoyed in, drops 100m, sploosshh!! All the mains believer rubbish is akin to making claims that the colour of the bucket matters, or whether the bloke at the end of the bucket brigade is wearing trainers or brogues matters, or whether or not he's singing a happy or sad tune when he flings it off the cliff etc etc... all that's relevant in reality is the water leaving the bucket and falling a long drop into the reservoir.
It should obvious to the sane that a gold plated, polished and very expensive bucket (ie foo mains cables etc etc) can't make any difference and that to think otherwise is ridiculous. Electricity being invisible etc and a complete mystery to many unfortunately tends to breed such ridiculous beliefs!