The phrase "a coherent explanation of" is correct and usable in written English.
It can be used when you want to describe a clear and logical account or description of a particular subject or topic.
Example: "The professor provided a coherent explanation of the complex theory, making it easier for the students to understand."
Alternatives: "a clear account of" or "a logical description of".
"Communicating Climate Change provides a coherent explanation of effective climate change communication for practitioners.
I'd be amazed if he could give a coherent explanation of why it should be $500 billion to $700 billion instead of, say, $300 billion or $900 billion.
The unique aspect is the development of a coherent explanation of economic growth that withstands common criticisms of empirical growth analysis.
Mr. Obama has come under criticism from Republicans in Congress for failing to provide a coherent explanation of the operation, which is in its seventh day.
That's what happens when a depression begins on your watch and when you can't offer a coherent explanation of how and why it occurred and what you are going to do differently.
The problem he faced is one his boss has had a hard time with as well: they can't give a coherent explanation of their position because they don't have a coherent explanation to give.
"Fahrenheit 9/11" offers the thrill of a coherent explanation for everything, but parts of the movie are no better than a wild, lunging grab at a supposed master plan.
"The regular consumption of starchy plant foods offers a coherent explanation for the provision of energy to the developing brain during the Late Pliocene and Early Pleistocene," she says.
Overall, we provide a coherent explanation for the effect of different FAD mutations, demonstrating the importance of qualitative rather than quantitative changes in the Aβ products, and suggest fundamental improvements for current drug development efforts.
Dissection of the different activities of the γ-secretase complex allowed us to reach a coherent explanation for the effects of the tested FAD mutations.
In other words, the cost is going up, but the expenses are going down, and once again, no one appears to offer a coherent explanation for this state of affairs.
