Before starting you will need to install Filezilla on your PC
You can do this on any CFW, you will need a app such as multiMan, Rebug toolbox, or Blackb0x. This tut is the same for all 3 apps. First you will need your PC and PS3 both connected to your router via ethernet cable. Then on your PS3 go to your network settings, setting and connection status list. take a note of your I.P. address. Now open one of the apps I mentioned above. Stay on the main screen of the app.Go back to your PC and open the Filezilla client. In the top left there are some boxes, type your I.P. into the host box then click quick connect.
You are now connected to your PS3, you should be able to see all your PS3 folders and now you can just drag and drop files to your PS3.

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Plug your Ethernet cable into the BOX or router in the port RJ45 (regardless of your model).
Install Multiman (link above) if you dont have it installed or update from your PS3 in Multiman => Update.
Go to SETTINGS and then NETWORK SETTINGS.
Then in Internet connection, activate the internet connection.
Go to the Games in XMB, and then launch Multiman.
Go to SETTINGS.
Press the triangle button.
A menu will appear on your right, click on Advanced Settings.
Look at the bottom, and take note of your IP address : PS3 IP
Return in Multiman, then Settings and then FTP service.
Select at the bottom Avtivate (No Timeout).
Go to your PC and open Filezilla. Enter the IP address of your PS3 in Filezilla top left, in host then click on Quick Connect on the right. You can access now the hard drive of your PS3.
If that does not work, check in Filezilla / Edit / Settings / Connection / FTP / Transfer Mode, and check the box Activate.

In Filezilla, you can see :

On the left : your PC (Local site).
On the right : your ps3 (Remote Site).
Drag / drop from the left to the right folder on your Backup, eg BLESXXXXX or BLUSXXXXX DRAG > INSERT (this will work not only for games but also for any kind of file).
The transfer is being done, wait
You can disconnect your PS3 now.
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