1. Open a listening socket:
$ nc6 -l -p 1066

2. Run the following (tested here on Linux):
import asyncio

async def bug():
    reader, writer = await asyncio.open_connection("::1", "1066")
    while True:
        writer.write("foo\n".encode())
        await writer.drain()
        # Uncommenting this makes drain() raise BrokenPipeError
        # when the server closes the connection.
        #await asyncio.sleep(0.1)

loop = asyncio.get_event_loop()
loop.run_until_complete(bug())

3. Terminate netcat with Ctrl-C. The program will go on a endless loop of "socket.send() raised exception." as writer.drain() fails to raise an exception to report the closed connection. Reducing the output rate of the program by using asyncio.sleep causes writer.drain() to raise BrokenPipeError (and shouldn't it be ConnectionResetError?)

See also this upstream git issue: https://github.com/python/asyncio/issues/263. Let me know whether the patch suggested there works for you, and I'll prioritize getting it checked in. (Help would also be appreciated, e.g. in the form of a unittest.)

Yes, this patch fixes the problem (in both this example and my real application). Thanks!

Fixed by 17f76258d11d, d30fbc55194d and 08adb4056b5f.

New changeset 17f76258d11d by Guido van Rossum in branch '3.4':
Issue #25441: asyncio: Raise error from drain() when socket is closed.
https://hg.python.org/cpython/rev/17f76258d11d

New changeset d30fbc55194d by Guido van Rossum in branch '3.5':
Issue #25441: asyncio: Raise error from drain() when socket is closed. (Merge 3.4->3.5)
https://hg.python.org/cpython/rev/d30fbc55194d

New changeset 08adb4056b5f by Guido van Rossum in branch 'default':
Issue #25441: asyncio: Raise error from drain() when socket is closed. (Merge 3.5->3.6)
https://hg.python.org/cpython/rev/08adb4056b5f