So what is the problem with power there? Neglect? Old Soviet technology?
Primarily, neglect. Even if the government had the money to buy parts, they have a hard time doing so because of the US embargo which prevents almost any company from doing business directly with the Cuban government.
And since Venezuela cut their exports to Cuba, the system is being starved of oil (virtually all power plants are oil-fired).
There "should" be 3000MW of solar online by 2031. Cuba is ideally positioned for solar and lots of unproductive land (another issue) is being used to build solar parks. Of course, solar is only really useful during the day without massive storage which is where the greatest expense is. That being said, peak hours are during the day when more sir conditioning is being used.
I'm probably going to pull the trigger on a solar system for my place. 30kWh of storage won't allow me to run the 6 tonnes of AC I have off of the batteries but I can buy a generator for the AC. Or buy 100kWh of batteries but I'm not that rich!