Nico Rosberg had managed just 11 laps with the new W04 before the car stopped on track, causing the second red flag of the day.
Mercedes spent the morning trying to identify the problem and has announced that it will not be running any more on Tuesday.
"After identifying the cause of the problem, we will not be running again today whilst parts are modified ready for tomorrow," said the team.
"The part which requires modification is the wiring loom where the electrical fault originated this morning."
Rosberg's new team-mate Lewis Hamilton is scheduled to make his on-track debut with the team on Wednesday.