If you change your wifi information Ecovent will continue to work in the same fashion however you may need to update your thermostat's Wi-Fi. This includes changing the name and/or password for your network.
To update the Sensi's Wi-Fi network:
Enter the main menu of the Ecovent app and select "System Settings"
Scroll to the bottom portion of the screen and select the option to "Update thermostat Wi-Fi"
Follow the prompts on screen to connect to activate and connect to the Sensi Wi-Fi (using the Security code) and then enter your new Wi-Fi credentials when prompted