what time period did the trogan war take place?

Wood places it around 1200 BC

Wood, Michael. In Search of the Trojan War. Berkeley: University of California Press, 1998

Ancient Greeks believed that the events Homer related were basically true. They believed that this war took place in the 13th or 12th century BCE, and that Troy was located in the vicinity of the Dardanelles in what is now north-western Turkey. By modern times both the war and the city were widely believed to be mythological. In 1870, however, the German archaeologist Heinrich Schliemann excavated a site in this area which he believed to be the site of Troy, and at least some archaeologists agree. There remains no certain evidence that Homer's Troy ever existed, still less that any of the events of the Trojan War cycle ever took place. Most historians now believe that the Homeric stories are a fusion of various stories of sieges and expeditions by the Greeks of the Bronze Age or Mycenean period, and do not describe actual events. Those who think that the stories of the Trojan War derive from some specific actual conflict usually date it to between 1200 BCE and 1300 BCE.

Do you mean the Trojan War?

If so, then in the 1000s BCE.