Devi Bhagavatha , again written by Ved Vyasa gives an interesting account of Draupadi's identity.In kritayug, Kusa Dhwaja, a king performs severe penance and gratifies Goddess Lakshmi, who takes birth as his daughter. She is Vedavathi, the incarnation of Lakshmi,always involved in severe penance. Once Ravan, the Rakshasa king happens to see her and touches her with a bad intention. Vedavati gets angry and stupefies him, with her power of penance. Then she curses him that she in her next birth will become the reason for his destruction. Vedavati immolated herself in her yogic fire and takes birth as Sita ,the daughter of Janaka. That happens in Tretayug. Sita gets married to Sri Rama, the Vishnu incarnate. She goes to the forest with Sri Rama and Lakshmana. One day Fire God requests SriRama to keep Sita under his protection , as Ravana will abduct her soon. In her place Chaya Sita will follow Rama and get abducted by Ravana. Sri Rama agrees and keeps the real Sita with Firegod and replaces her with chaya Sita,the shadow of Sita. It was kept a secret even from Lakshman. So Ravana abducts Chaya Sita and after the great battle and death of Ravan, Sri Rama takes real Sita from Fire God on the pretext of Agni pariksha. He asks Chaka Sita to go to Pushkar and perform penance. Due to her great penance she gets the good fortune of becoming Swargalakshmi. In Dwapar yug, that Swarna Lakshmi, rises from Drupad's Sacrificial pit as Draupadi. When she did penance at Pushkar, Lord Siva granted her Five husbands in her next birth. Draupadi hence is the part of Lakshmi, and Sachi the wife of Indra who is also swargalakshmi. So Vedati of Kritayug, Chaya Sita and Sita of Treta yug and Draupadi of Dwaparyug is the manifestation of Lakshmi. Many interpreted Draupadi's preferential love for Arjun because he is Nar, the partial incarnation of Vishnu.It is said in Devi Bhagavatham that sriram went to Vaikuntha,Vedavati absorbed herself in the idol of Goddess Lakshmi. So Our Draupadi is Vedavati, Chaya Sita,and of course Lakshmi incarnate.