Adding extra neir(os) after missing lighting neiros Shabbos

I'd like to know more about the source requiring someone to light an extra shabbos candle for every shabbos going forward if one forgot to light a candle previously. I have never heard of this and would like to know the reason. Is this based on some kabbalistic source?

What is required (if anything) if a shabbos candle blows out (Example: faulty candle and is it doesn't stay lit). Is this viewed as some sort of bad sign that requires a tikkun or is it just what it is...a bad candle and no further actions are required?

Steven

Steven wrote: I'd like to know more about the source requiring someone to light an extra shabbos candle for every shabbos going forward if one forgot to light a candle previously. I have never heard of this and would like to know the reason. Is this based on some kabbalistic source?

The Ramo (Orach Chayim 263:1) brings this Halacha, quoting the Maharil.

The Maharil (Hilchos Shabbos, para. 1) does not bring a reason but merely adds that the query was asked on behalf of someone by the Maharil's niece.

I think that from here we can see the tremendous Yir'as Shomayim of the people of that era, where a woman was embarrassed to ask this query, when, from the point of view of our generation, she only forgot to light candles one week.

MPerlman

And what about if the candle was lit but went out prematurely?

Steven

Steven wrote: And what about if the candle was lit but went out prematurely?

It would seem to me that this is considered an Oness and the Magain Avraham (263:3) writes that in case of Oness, one does not have to add a candle the following weeks.

MPerlman