Conn. Gen. Stat. § 14-291: Traffic regulations for special occasions.

The Commissioner of Motor Vehicles, or the Commissioner of Emergency Services and Public Protection, their deputies or any inspector or police officer authorized by said commissioners, may make and provide for the enforcement of traffic regulations for such time or times as unusually heavy traffic conditions may be anticipated upon any highway, provided such traffic regulations shall not apply to or be enforced in the streets of any incorporated city regularly employing a police force of more than fifteen men.