This is going to be a step by step on fixing a Soyo Topaz S lcd monitor. This particular LCD has a bad power supply and is a common problem with many LCD's. This will probably relate to other models but not have the exact same steps.
The first problem that has to be addressed is finding a new PSU. The only source that I have found is through taobao.com and search for m24e14. An easy way to purchase is using the site engtaobao.com, they are somewhat of a "middle man" for taobao.com which is a chinese ebay type of website. If you use google chrome you can have it automatically translate the chinese site for you so you know what you are looking at. You enter the website of the item you want and use the checkout. It is an exact replacement for your bad power supply, the one they shipped me was actually better than the original.
Once you order and wait a couple of weeks for it to ship from china you are ready for the fun part (taking things apart!). We are going to do this with an eye for detail though, we don't want missing screws and all the headaches that accompany having extra screws at the end. The tools you will need for this are simple tools you should already have.
1. P1 screwdriver "Phillips head"
2. Container for screws
3. Something to pry the panel open, you could use a butter knife/anything that will wedge between the panel
4. Electrical tape to help your prying tool not damage the plastic panel
5. Towel or blanket to lay the screen on
So after you have all those tools together it is time to take the monitor off the base. It should be about 6 screws. Once you have done that, lay the monitor on its face and start unscrewing the panel back. There are 12 screws that hold the back on, the 4 in the center you can set to the side in your screw container. The others just unscrew and leave them in the wholes so they don't go missing or get mixed up.
Once you have everything unscrewed it is time for you to pry the panel apart, do not be scared of the sounds you will hear as you are doing this. I like to start at the top then work my way around to the bottom. After you get to the bottom pull back and up and you should have the back panel safely removed from the front and if you were careful when prying you did not scar the plastic. Now sit that back panel in a safe place and don't turn it over or you will have a 30min screw hunting exploration.
You are now staring at the inside of your monitor and the hard part is done my friends. 4 screws, 3 cables and some foil tape are holding back from getting a look at that psu. Once you remove those you can carefully remove the cables. Note that one of them is taped down, I just cut the tape making sure I didn't accidentally mess up a wire. Safely pull the foil tape off and save for reuse. At this point you can slowly turn over the psu housing making sure you do not pull very hard because things are still attached and we want to keep it that way to make it easy on ourselves.
You can see the psu has 2 connector and 4 screws that you need to remove. Once you remove them you can pull the psu out. The trick is to pull on the bottom side and slide out the back, this keeps you from damaging the power socket.