“Save me, O God, by your name; vindicate me by your might.” (Ps 54:1).
As you probably know, names in the Bible carried much more significance than they do now. The phrase admittedly doesn’t have much meaning to us today, but the O.T. saints put a priority on the “name” of individual. In the Ancient Near East, the name of a person said much about the person himself. It shows the importance of one’s reputation and character (e.g., Abraham meaning “father or many” or Emmanuel meaning “God with us” or Satan meaning “adversary”).
So the emphasis upon the name of God highlights more than just a title for God; it emphasizes His person and character. David is calling upon God as God. He was inviting the overwhelming presence of God into his life for this desperate situation.
How different is this reaction to the world!
When the world gets into trouble, where does it turn? Medicines, lawyers, violence, itself, etc.
To the world, David is reacting unusually, which is exactly what John Calvin concluded –
“As David was at this time placed beyond the reach of human assistance, he must be understood as praying to be saved by the name and the power of God, in an emphatical sense, or by these in contradistinction to the usual means of deliverance. Though all help must ultimately come from God, there are ordinary methods by which he generally extends it. When these fail, and every earthly stay is removed, he must then take the work into his own hands. It was in such a situation that David here fled to the saints’ last asylum, and sought to be saved by a miracle of divine power.”
David knew of no other to consult than His Creator.
What is David showing us? David is teaching us that when things become desperate for the believer, the believer is crazy to think he is alone. When desperation sinks in, heaven draws near to him as well.
 Calvin, quoted in Spurgeon, 443