Did you ever consider that maybe this has less to do with Him, and more to do with how you’re viewing Him?
Sometimes we tend to see Christianity as merely a religion – a set of dos and don’ts that we must follow if we want God to be pleased with us. We think that there’s this level of perfection we must reach before we can truly get close to God, and we’re constantly aware that we don’t measure up to this standard. We feel like we’re not worthy to draw near Him, and therefore get the sense that He’s far away.
Religion portrays God as cold and distant, and only concerned with how good we are, but that’s not who He is. He is our loving Heavenly Father, who, because of Christ, accepts us and calls us His children. He is with us wherever we go (Joshua 1:9), and will never leave us (Deuteronomy 31:6).
Begin to view God in the light of Him being your Daddy in heaven, who is always with you, and cares about you deeply, and see how much more real He will seem!