Purchased power not connecting with city

I have to admit - that is weird! lol I guess it's possible that you have some corrupted data which is causing this.

Now that I can see your whole map, the power flow issue from the solar panels probably stems from only having three connections from the cliff part to the valley part. The simulation for power sends out the power agents (the yellow dots) along the road from the source. They run similar to the wonky traffic - when it reaches an intersection, it takes a random turn and if there are only a couple ways to get from one spot to another it frequently won't find its way, even with a surplus. (I'm not saying it's correct, just saying that's the way it works). You could try plopping an electric source in each area to test that theory.

I would still work towards buying power, though. I know in the screen shots you're showing it without purchasing power from anywhere, but I have never seen power come up to the entrance and stop like it shows for your city. Nor have I ever seen random buildings still powered like that, with no power source (after a couple sim-hours, anyway) Personally, I would try to demolish a part of the road and reconnect it at the entrance, just in case (I know it looks connected, can't hurt to try tho). 

To try to fix local corruption, follow these steps:

• Exit SimCity and Origin completely.
• Rename the SimCityUserData folder, or move it to your desktop as a backup. No need to worry, the game will recreate this folder when you log in again. Default location is \\Program Files (x86)\Origin Games\SimCity\SimCityUserData 
• Save a copy of your Games folder to your desktop as a backup. Default location is    \\<YourWindowsUserName>\Documents\SimCity
• Launch Origin "As Administrator" (Right-click Origin.exe, choose Compatibility tab, Check the box next to "Run this program as administrator")
• In Origin, right-click the SimCity icon and choose "Repair". Origin has to be online for this to complete. Let the repair run until completed.
• Launch SimCity "As Administrator" and check to see if the problem is fixed
• If the issue still exists, exit completely out of SimCity and Origin. Navigate to \\Program Files (x86)\Origin Games\SimCity\SimCityRecovery. Right-click SimCityRecovery.exe and choose "Run As Administrator". Be patient, this is a targeted reinstall and can take some time to complete.
• Reset your preferred options in the settings menu (I always disable the auto-save, so I can exit without saving and revert my game back to the original save point) 
• If you use any mods, you will want to add them back one at a time, testing after each one to make sure a mod is not causing the issue
  
  Corruption can happen if there is an interruption in the synchronization process, or if something like antivirus or firewall is preventing communication, so always run Origin.exe and SimCity.exe "as administrator". Be sure both are added to exception lists for antivirus and firewall.