בקרת האקלים עלולה לא לעבוד בזמן הפסקת חשמל.

A natural pronunciation is:

Bakarat ha-aklim alulá lo la'avod bizman hafsakat chashmal.

A slightly more stress-marked version is:

bakarát ha-aklím alulá lo la'avód bizmán hafsakát chashmál

You may also hear small pronunciation differences in fast speech.

Literally, it means control of the climate.

In natural English, that becomes climate control.

This is a very common Hebrew structure called a construct chain (סמיכות), where Hebrew often says X of Y instead of using an adjective-like noun phrase.

So:

• בקרה = control / monitoring
• בקרת האקלים = climate control

Because בקרת האקלים is a construct chain.

In Hebrew construct chains:

• the first noun usually does not take ה־
• definiteness is usually shown on the second noun

So:

• בקרת אקלים = climate control / climate control system in a general sense
• בקרת האקלים = the climate control

Even though בקרת has no ה־, the whole phrase is definite because האקלים is definite.

Because it agrees with the subject, בקרת האקלים.

The head noun of that phrase is בקרת, and בקרה is a feminine singular noun. So the predicate must also be feminine singular:

• עלול = masculine singular
• עלולה = feminine singular
• עלולים = masculine plural
• עלולות = feminine plural

So here:

• בקרת האקלים עלולה... = the climate control may / is liable to...

עלול/עלולה often means may, might, is liable to, or is likely to.

A key nuance: it often suggests a possibility with a negative or undesirable result.

So:

• עלולה לא לעבוד = may not work
• עלולה להינזק = may get damaged
• עלול לקרות = may happen

Compared with may/might in English, עלול/ה often sounds a bit more cautionary or warning-like.

Because עלול/ה is followed by an infinitive.

The pattern is:

עלול/ה + infinitive

If you want to negate the action, you usually put לא before the infinitive:

• עלולה לעבוד = it may work
• עלולה לא לעבוד = it may not work

So לא is negating לעבוד (to work), not the whole sentence in some broader sense.

Yes. Very much so.

In Hebrew, לעבוד is commonly used not only for a person working, but also for a machine, device, or system working / functioning / operating.

So:

• המזגן לא עובד = the air conditioner isn’t working
• המערכת עובדת = the system works / is working
• בקרת האקלים עלולה לא לעבוד = the climate control may not work

This is completely normal Hebrew.

Here, בזמן means during or at the time of.

So:

• בזמן הפסקת חשמל = during a power outage

Literally, בזמן is something like at the time of. In many contexts, English translates it more naturally as during.

Literally, it means an interruption of electricity.

In natural English, that is:

• power outage
• power cut

This is another construct chain:

• הפסקה = interruption / stoppage
• חשמל = electricity
• הפסקת חשמל = power outage

So the sentence is talking about the time when electrical power is interrupted.

Because the phrase is being used in a general sense: during a power outage, not during the specific power outage.

So:

• הפסקת חשמל = a power outage / power outage in general
• הפסקת החשמל = the power outage / the electricity interruption

Also, with words like חשמל (electricity), Hebrew often leaves them without ה־ when speaking generally.

Yes. A few natural alternatives are:

• בקרת האקלים עשויה לא לעבוד בזמן הפסקת חשמל.
  This is similar, but עשויה sounds a bit more neutral and less warning-like than עלולה.

• בקרת האקלים עלולה לא לפעול בזמן הפסקת חשמל.
  Here לפעול means to operate / function. It is slightly more formal than לעבוד, but both are natural.

• בקרת האקלים עלולה לא לעבוד במקרה של הפסקת חשמל.
  במקרה של means in case of.

The original sentence is perfectly natural and clear.