The phrase "a series of automatic" is correct and usable in written English.
It can be used when describing multiple automatic processes, actions, or functions that occur in succession.
Example: "The system operates through a series of automatic updates to ensure optimal performance."
Alternatives: "a sequence of automatic" or "a chain of automatic".
We have moored a series of automatic buoys off the coast here.
And the failure to approve a plan would set off a series of automatic cuts.
But without a broad agreement, a series of automatic increases will take effect next year.
If the members cannot reach an agreement, or if Congress rejects its recommendations, a series of automatic cuts will go into effect in 2013.
Publicly neither side indicated progress toward a deal ahead of the end-of-the-month deadline for averting a series of automatic tax increases and spending cuts.
If the panel falls short, a series of automatic cuts, split evenly between military and civilian programs, would take effect, starting in 2013.
In the last four minutes before the crash, the airplane sent a series of 24 automatic fault messages to a maintenance center in France.
While the deal calls for a series of large automatic spending cuts in the coming years if Congress fails to agree on how to trim the budget deficit, it exempts Medicaid — the program that is perhaps the single most important stream of federal spending for states — from those automatic cuts.
Unfortunately, in just four days, Congress is poised to allow a series of arbitrary, automatic budget cuts to kick in that will slow our economy, eliminate good jobs and leave a lot of folks who are already pretty thinly stretched scrambling to figure out what to do".
On Friday, a series of broad automatic budget cuts known in Washington DC as the sequester are expected to take effect, hitting many areas of the federal government if Congress does not act.
And now another chunk of the austeroid is about to slam into the economy, a series of deep automatic spending cuts called, for dumb Washington reasons, the "sequester," to take effect on March 1.
