Here Yahweh's "name" refers to his reputation. Alternate translation: "For the sake of your reputation" or "In order that everyone can see that you are very great and keep your promises" (See: [[rc://en/ta/man/translate/figs-metonymy]])
Yahweh's "throne" is represented by Zion, that is Jerusalem. His "throne" also represents the place where he rules as king. Alternate translation: "do disgrace Zion where you glorious throne is" or "do not disgrace Zion, where you rule as king" (See: [[rc://en/ta/man/translate/figs-metonymy]])