Isn't a warmer climate better for energy generation? Nowadays, everyone talks about it: climate change, and more importantly, how to stop it from happening. Although there's a lot of debate around the topic, the conscensus is that by inventing a way of generating clean energy, we can slow down (and maybe even reverse) the effects global warming has on the planet. Using energy that was created without burning millions of years worth of stored carbon, we can not only power our everyday lives, but also capture the carbon we've been blowing into our atmosphere using the energy-intensive process of carbon capture.

But there are still some problems. Currently, photovoltaic cells are pretty much useless during winter when it comes to fueling the homes of millions (at least where I live). We want to warm our homes, but there's not enough clean energy during those months, so we fall back on nuclear.

Wouldn't it therefore be better to have a small rise in global temperature? I mean, a higher temperature means you don't have to warm your home during winter (as much). During summer, you can use the extra energy generated by the photovoltaic cells to power airconditioners in order to cool buildings and (maybe) use some excess energy to stop the snowball effect that those higher temperatures would have on the climate and keep it at a constant level. Even though cooling requires more energy than heating, might it break even?

I don't have the knowledge nor the means to calculate if this is the case.

I know that climate change is a thing and that it's really, really bad. I'm not a guy that doesn't believe the effects it has on our surroundings. I just don't have the means to investigate this idea, that's why I ask you: will the rise in temperature have a positive effect on our energy production and the ability to satisfy energy demand?
The real problem, of course, is that it's not going to be limited to a small rise in temperature.  

However, WRT energy generation in particular, most forms of generation become less efficient as temperature increases.  For thermoelectric generation - fossil fuel, nuclear, &amp; geothermal - that's obvious thermodynamics.

Photovoltaic cell efficiency also decreases with increasing temperature (e.g. https://www.sciencedirect.com/science/article/pii/S1876610213000829 ).  The drop in energy production during winter is a product of factors like the shorter day and lower sun angle, not the temperature.

Unless I've missed something, that leaves just hydroelectric &amp; wind generation.  AFAIK, they aren't directly affected by temperature.  Changes in weather patterns might produce more or less precipitation and stronger or weaker winds in any particular location, but I don't think the effects are predictable, or necessarily a net increase.

Finally, increased temperature affects the efficiency of power transmission.  Electrical resistance increases with temperature, so an increase in temperature leads to increased transmission losses, and a decrease in the effective capacity of the lines: https://iopscience.iop.org/article/10.1088/1748-9326/11/11/114008