Election or Elections?
'Election' refers to moving (by majority vote of a body) to a new position or job. In that case:
- He won the election: He obtained, by majority vote, the position he was seeking.
He won the elections: He now has multiple jobs having run for, and obtained by majority vote, more than one position.
I voted in the election: I did cast a ballot for (or against) a particular candidate seeking a particular position at a particular time.
I voted in the elections: I was a regular voter in cycles of election of candidates to particular positions -- the past tense implies that this is no longer the case. In the context of several positions (or people who hold or held those positions) this may be used to explain that I was a voter in all elections in question.
1 to 4 years is the frequency of election [of X]: Implies some ambiguity in the number of years constituting the cycle of re-election of a particular position; this has little or nonsense meaning without stating the position.
- 1 to 4 years is the frequency of elections: This implies a global standard for all elections, but may be limited to a body or bodies of government, a country, or another form of electoral body.
"An election" would be for one office. "Elections" would be for multiple offices, or for the same office on different occasions.
So: "Mr Jones won the election for senator." He ran for this office and won.
"The Foobar Party swept the elections." There were many offices, and the Foobar Party candidates won some large majority of them
"Mr Jones has won all the elections he's been in." Mr Jones has run for many offices over the course of his career and he has always won.
"We have elections for president every 4 years." It's a recurring event, so there are many of them. You could also say, "We have an election for president every 4 years." That would mean the same thing. Side note: "1 to 4 years is the frequency of elections" is, I guess, technically correct but it's awkward wording. It's not the usual word order.
You could say, "We hold elections every two years." Depending on context, that could mean that there is some office that we're holding an election for every two years, not necessarily the same office. Like in 2010 we have elections for mayor and senator, in 2012 we have elections for governor and sheriff, etc.
I think people often say "election" to mean one trip to the polls as opposed to one office. Like, "Did you vote in the last election?" is pretty much the same as "Did you vote in the last elections?"