Do high voltage power lines attract lightning strikes?

I always thought that high voltage power lines would attract a lightning strike more than other structures in the same area. Turns out I was wrong. My neighbor's chimney got struck by lightning and it destroyed a lot of stuff (street lamps, wifi APs, small home electronics). We live very close to high voltage power lines - so, is my premise wrong? Do power lines not attract a lightning strike more that other objects?

Also, if a chimney isn't connected to the power grid (or am I wrong?), then how is it possible, that almost all of the street lamps don't work and other electronic devices were destroyed?

A few things I can think of straight away:

• Power line pylons are usually the tallest objects in the countryside. They are giant grounded metal objects. As lightning wants to move along the path of least resistance, they are preferred over other objects. Power lines also usually have one or two grounded wires on top, which act as lightning rods which protect the powered conductors from most lightning strikes.
• High voltage lines ionize the air around the conductors, this is especially true for 220kV+ lines (they even glow purple in a dark night, the glow comes from something called corona discharges). Ionized air is a better conductor than ordinary air.
• The voltage(potential) difference between a power line and a storm cloud can be significantly lower than the difference between storm cloud and ground. The maximum difference for a 220kV line can the peak voltage, which is $220kV\sqrt{2}$, while the ground is at $0V$. Lightning strikes usually overcome a few hundred to more than a thousand $kV$. Therefore lightning only has to overcome 2/3 of the usual voltage difference.
• Lightning can kill you even if you are not struck by it. Like dropping a stone in a pond, the voltage is spread out around the place of the strike, falling off with distance. If both your feet are one meter apart and in line with the strike point, you will experience a voltage difference between your legs. Animals like cows and horses are susceptible to this, as the distance between fore- and aft legs is significant.
• Electromagnetic influence is the last factor. A charged cloud attracts a charge of the opposite sign on the ground, this affects a large area. When the final discharge(lightning) occurs, the charge that was bound at this location won't have anything holding it there. Therefore it will move back to where it came from creating currents on the way. This can damage power lines and electrical equipment. This could be interpreted as an EMP-like effect.

I hope that I didn't miss anything.

• Horses and cows are also more vulnerable to lightning strikes than people are because they don't wear shoes with rubber soles Sep 23, 2020 at 16:18

You don't live sufficiently close to the power line pylons.

For lightning protection, the lightning rod needs to be pretty much above you; if you use a vertical rod, the apex angle of the cone of protection can be, for example, between 20° and 75° for a high standard of protection (from cone side to the opposite side), where the 20° value is supposed to apply for a 20 meters high rod and 75° for a 2 meters high rod (as measured vertically from the protected point). This means, in effect, that the rod needs to be directly above the building and most buildings will need multiple such rods, or an obscenely high rod, if they want to meet this class of lightning protection.

In my country, nobody will let you build a house within 20 metres of a distance power line. A really high pylon might be 50 metres high. If you are willing to believe my googled up ballpark numbers above, the power line provides lightning protection of this class barely to itself and to the "reserved" ground underneath.

You could settle for a less ambitious class of protection, but then you need to expect occasional (reduced) lightning strikes at your home, and you'd still need to build really close to the power line and ideally only underground.