Berkhof:

b. The love of God. When the goodness of God is exercised towards His rational creatures, it assumes the higher character of love, and this love may again be distinguished according to the objects on which it terminates. In distinction from the goodness of God in general, it may be defined as that perfection of God by which He is eternally moved to self-communication. Since God is absolutely good in Himself, His love cannot find complete satisfaction in any object that falls short of absolute perfection. He loves His rational creatures for His own sake, or, to express it otherwise, He loves in them Himself, His virtues, His work, and His gifts. He does not even withdraw His love completely from the sinner in his present sinful state, though the latter’s sin is an abomination to Him, since He recognizes even in the sinner His image-bearer. John 3:16; Matt. 5:44,45. At the same time He loves believers with a special love, since He contemplates them as His spiritual children in Christ. It is to them that He communicates Himself in the fullest and richest sense, with all the fullness of His grace and mercy. John 16:27; Rom. 5:8 ; I John 3:1 .

Louis Berkhof, Systematic Theology (Grand Rapids: Eerdmans, 1969), 71. [Italics original; and underlining mine.]