If you are a foreign resident you go to the special JCE office in Santo Domingo to renew it. The most recent renewal to a new version is free. Not sure in your case since we don't know enough detail.
i started a thread last week. called JCE in SD again today. ALL OLD CEDULAS WILL EXPIRE IN JANUARY. you need to change now. it is still gratis. you need old cedula and passport, nothing more.
centro de cedulacion de extranjeria will be open all week. monday to friday 8 am to 6 pm. saturday 8-4, sunday 8 to 2.
the lady i spoke to said she does not know what will happen after january, whether there will be a payment or some other changes. so go and change the cedula now.