This model is a Satellite C655-S5132.
Here's what happened.
My nephew stepped on the laptop and cracked the screen. Ordered new screen and my brother installed it. Screen showed lines just in the blue spectrum with no readable image. Then the screen remained black. Laptop was brought to me. Sent the screen back in case it was bad and installed second new LED LCD screen. Still just a black picture, so I replaced the cable. Back to the blue spectrum lines. Any suggestions?

Connect an external monitor. If it has problems too, then that points to the notebook/graphics solution.

External monitor works

Then more than just the screen was crushed - I would look at the cable to the notebook monitor, or its connections. It might be an inverter problem too - which can be replaced, typically for $50 to $150 for parts, plus 1 hour of labor.

You may be stuck using an external monitor from now on.

As stated above, I did replace the cable, that is what brought me from a black screen with nothing, to the blue spectrum again. Also, the title states it is an LED LCD, not HCFL, or CCFL, there is no inverter on an LED LCD.
As LED's don't need the high voltages of a Cathrod lamp and LEDs require a DC voltage, I wouldn't expect any LED backlit screen to require an inverter.

Sorry, you are correct on all counts. I am helping 3 others with monitor problems and confused myself.

Still, with the external monitor working, that eliminates Windows, the motherboard's integrated graphics solution, and most likely the driver too - thereby pointing to something specific to the notebook's monitor, or its associated, and exclusive circuits - perhaps power, since the screen is black.

You can still test for backlighting issues by getting up close to the screen and shine a flashlight into the screen. If the problem is backlighting, you will be able to see a dim image of what is being displayed.

The black screen is no longer an issue. The screen is showing lines made up of purple and blue, and everything in between. The black screen went away when I replaced the cable.

If it were on my bench, I would disassemble it again and while disassembled, see if works. If it does, then something may have been pinched during the last reassembly. Don't have any other suggestions. Sorry.

Here is what the LCD looks like when the laptop is powered on. Hopefully I uploaded the pictures correctly.
IMG_2932.jpg
IMG_2931.jpg

Are you 100% sure that new display is the right one? Or that it is good? Everything you mention points to the notebook's screen. Maybe the new one is DOA!