The very concept of Trinity is love. The doctrine of Trinity teaches us that God is Triune… (i.e) One God exists as in person hoods.
Trinity means…
I am a human being (My what am I?) I am so and so…(My Who am I)
God has three person hoods but is one being. He is Yahweh( What part? ) in three persons: Father, Son and Spirit (Who part?). We can’t limit God to have only one person hood like we do. Who are we to limit a Limitless God. Likewise we can’t question God as to why he has revealed three personas – We are in no position as to question his nature or his wisdom. We can only study and oblige ourselves with what the scripture reveals to us.