You have two options assuming your receiver is leased.
1. Set aside $72 which is the cost of a year subscription to the Protection Plan (the minimum you can subscribe). It costs $5.99/month. Unfortunately, you have to wait 30 days after subscribing before you can use it so you'll be without your receiver for a month. On the BRIGHT side, your 2-year programming commitment won't be extended back to 2 years AND for the next year you don't have to worry about anything getting broken or giving trouble (including the dish). In fact, you won't have to do anything because DirecTV sends out a technician for problems.
2. DirecTV will replace your receiver for a $20 S & H fee BUT using this service will extend your programming commitment back to 2 years.
The sticky issue here is that the receiver didn't just break down, it was broken. Since the Protection Plan is really an insurance policy (actually administered by an insurance company!), I'm sure it will cover your repair because they even come right out and say they will cover damage caused by a voltage spike among other things. But you may have to pay more than the $20 if you choose option #2. You will have to call DirecTV and explain the situation to find out.