The best way to power the Earth is to have an array of solar panels that are linked together by power lines. The power lines could cross the twilight daylight boundary and deliver power to places that are in the night time zone.
If China and Russia are in darkness then America could send their excess solar power to them. If America is in darkness then Europe to send power across Russia to supply the Americans. Sunlight is always touching one part of the Earth's Surface so power lines could redistribute the power to the dark side of the planet.
If we cooperated in the beginning then this would already be a reality.