I think, you miss something. A wind on the Earth is a movement of particles , which are in electric equilibrium. Every proton has its own electron just around.
The solar wind as a plasma is a movement of particles tend to reach an equilibrium. The proton hasn’t an electron around, they are seeking each other all the time.

A plasma is neutral as whole but electrons and protons move separately, that way there is a magnetic current and energy is carried too.

An alternating current is neutral as whole system, the electrons move forth and back relatively to protons. The energy of the alternating current depends on the voltage and amount of the free electrons. The direction of the electrons is not important.

What is the energy of the plasma ?
The amount of free electrons has their temperature and we may count out the voltage too. U=v^2m/2e .
We can separate electrons from protons in a magnetic field – in normal wind is it not possible.
The radius of the electron is different as of the proton r =mv/eB and the frequency is f =eB/2pi m.
So then, the solar wind might be a cloud moving very fast in the magnetic field with very high oscillate electric current inside.