The valves you have are 572-2 and 573-2 zone valves. There should be 3 terminals marked #1, #2 and #3. #1 and #2 should have 24 volts going to them when the thermostat is calling for heat. If you have 24 volts, the valve should open after 1½ minutes. If you don't have 24 volts, the problem is with the wiring, the thermostat, or the transformer. If other zones are operating off the same transformer and working fine, the problem isn't with the transformer. If you have 24V at #1 and #2, then it is internal to the operator.
Remove the wire from the #1 terminal and apply an ohm meter across terminals #1 and #2. The meter should read 22 ohms +/- 1 ohm. If the meter needle doesn't move or the digital reads 0.L, the circuit is open or the internal contact of the internal leaf switch is dirty. If you get an ohm reading of 16 to 22 ohms, the circuit is good but there might be a failure of the heat motor. With the #1 wire removed from the operator for 5 minutes, you can twist the operator and remove it from the valve body. The replacement power head part number is 555-050RP. You don't have to change the whole valve and the operator can be removed without taking the pressure off the system. When you remove the power head, if you see a dark brown wax around the piston, then the diaphragm in the heat motor has failed.