Windows – How to get wake on lan to work on Windows 7 laptop

Your dyndns name should resolve to the public IP of your router, so this shouldn't be a problem.

If you can use the dyndns address to connect to the router than this makes even less sense.

You should try to resolve the dyndns address:

nslookup yourname.dyndns.org

It should resolve to the same IP address as the one you pull from your router. If it doesn't than sometime is wrong with the dyndns setup (although I can't imagine what it is, unless you have multiple public IP addresses).

Usually, the name would be resolved to an IP address before any package is sent. So this shouldn't make any difference as long as the dyndns entry is updated.

Wake-on-lan doesn't work over the internet

That's a good thing, do you want random people waking up your system via the Internet?

Your computer is behind a router. Pretty much anywhere your phone has Internet service, it is also behind a router, whether municipal Wifi, Starbucks, your workplace, etc.

WOL packets are broadcast packets. Standard routers do not forward broadcast packets. Broadcast packets are not meant to leave your LAN, can you imagine the possibilities for abuse if they did?

The proper way to do what you are trying to do is this: you need a system on your network on all the time that you can hop on, log into, and tell to issue a WOL packet on your network. DD-WRT has this capability if your router is flashed to it.