There is a way to run and debug protractor web-tests in WebStorm. I just want to share this answer here
which node
in your terminal)Node interpreter: Full path to Node.js (from step 1)
Working directory: home directory for the protractor tests.
Javascript file: Full path to node_modules/protractor/lib/cli.js
Application parameters: Full path to protractor-conf.js
Now you be able to run and debug tests by clicking on "Run" or "Debug" buttons on the top of IDE