Why "solar wind"? It receives more from solar radiation.
In general one expects any planet to reach equilibrium at a particular temperature where it radiates on average nearly exactly what it receives from the sun (from both the solar wind and the radiation).
However, there are complications and I don't know all the complications.
For a start, any other source of energy contributing to ts temperature will add to the rate at which it radiates, such that at equilibrium it radiates as much as it receives, and then that will (perhaps very slightly) exceed the solar input.
So what are the other sources?
For many of them, such as Earth, tidal forces cause internal friction. So we receive a surprising amount from the moon. Some of the larger moons of the larger planets, in particular Jupiter and Saturn, get really churned up by their tidal forces (consider Io with her volcanos & Europa with her cracks) part of such energy goes into physical rearrangements of the matter on the planet, but eventually most of it gets radiated.
Then there is the continuous gravitational compaction of the planet; for instance the Earth still is radiating energy from the solidification of its central iron core and from the closing of pore spaces and changing of hydration and crystallisation states in its mantle and crust. Practically every major body is still doing that, even though it is a small factor in most cases, unless there has been a recent major collision.
Don't forget radioactivity inside the planet. It will be a long time before we stop radiating our internal fission energy.
Impacts from outer space, everything from cosmic particles and rays to meteoric dust, large bodies, and starlight gets absorbed and reradiated.
If there happen to be any ecological systems or any vermin on the planet burning chemical stores of reducing and oxidising substances, the energy released will also be radiated, sometimes with considerable delays. Sometimes such radiation is highly atypical, for example, though Earth is a fairly cool body when regarded as a black body, in some of its long-wave radiation emitted by industrial processes, we look like a glowing hot body.
So, as I said, there can be many sources (notionally temporary) of excess heat from most planets, though the excess is relatively small on planets anywhere near the sun.