Handwavium, right? Like, lotsa handwavium, but with a plausible mechanism.
IK Pegasi is a binary with a secondary 1.15 M☉ white dwarf and A-type main-sequence star primary. They circle each other in a close enough orbit with only 21.72168 days as period.
Moreover, the primary is a Delta-Scuti variable, with an actual metallicity ratio of 1.17, about 17% richer in metallic elements than the Sun (so, maybe a tad older than the Sun)
Handwaving it accordingly, if you make the primary going a red giant, the system can become a cataclismic variable binary - in which the progenitor's mass form an accretion disk and falls into the white dwarf until the later bursts in a recurrent nova. It is plausible to happen in the near future, Wikipedia lists them among near Earth future supernovae ("as little as 1000 years" they say).
Because the two Pegasi are pretty close one to another, it just (handwave) happens that the periodicity is exactly 1 year and the effects happen on Earth just when the Sun, Earth and the two Pegasi are aligned. Periods that short aren't common in Milky Way, but it happened in the yard of our neighbor, Andromeda, with M31N 2008-12a, which went for millions of years and created a super-remnant of size in 100pc range (300+ ly).
So, Ok, the radiation of the nova explosion is not felt so intense at the IK Pegasi distance (154 ly and its a nova explosion, not a supernova, with an intense shock rich in gamma rays), however the super-remnant is made of highly ionized gas and it will (handwave) increase the amount of ionization in Earth ionosphere by quite a lot. Even without the Sun being "angry" and throwing its crown everywhere at that moment, but an influx of charged particles in ionosphere will create new radiation belts. Nukes with just a couple of kilotons exploding in near-space during the Argus operation established a radiation belt lasting for weeks and "damage or destroy arming and fusing mechanisms of intercontinental ballistic missile warheads, and endanger crews of orbiting space vehicles... degrade the reception and transmission of radar signals".
Scale up, with a new front from the super-remnant arriving each year, lasting over times spanning of few weeks, and impacting the whole Earth surface.
If you still don't think that's enough for the "yearly EMP", handwave some side effects on the Solar activity cycle, with the coronal ejection more probable in the direction of incoming ionized super-remnant, due to the magnetic lines reconnection being enhanced by the "interstellar current" flowing in. One decadal Carrington event should keep the things at bay in regards with the use of electricity and electronics.
Bonus point if, during the yearly "global ionization fest", the super-remnant delivers to Earth a trace dose of extra radioactive elements, sprinkled over the entire surface of Earth and flipping memory bits 1000 times more frequent than today ("Internet's DNS system... up to 3,434 incorrect requests per day due to bit-flip changes for various common domains.") all year around and increasingly so every year.