One principle, two directions
Every pressure control valve balances a fluid pressure against a spring across a moving element, a spool, poppet or diaphragm. What distinguishes the functions is which pressure is sensed and what the valve does when it wins. A relief valve senses upstream pressure and opens; a reducing valve senses downstream pressure and closes. Once that is clear, the whole family falls into place: sequence, counterbalance and unloading valves are relief-pattern valves with different destinations for the flow and different pilot arrangements.
The direct-acting relief valve
A poppet is held on a seat by an adjustable spring. When circuit pressure on the poppet area exceeds the spring force, the poppet lifts and passes flow to tank. The valve begins to leak at cracking pressure and reaches full flow only at a higher pressure, the full-flow or override pressure; the difference, pressure override, is lost energy and heat. Strong springs and small poppets keep direct-acting valves compact but make override steep, which is why they suit low flows and fast response, for example as anti-shock valves on actuator lines.
The pilot-operated stage
In a pilot-operated relief valve, system pressure reaches the top of a main spool through a small orifice, and a miniature direct-acting relief poppet, the pilot, limits that top-side pressure. Below the setting, pressures balance and a light spring holds the main spool shut. When the pilot cracks, flow through the orifice creates a pressure difference across the main spool, which lifts and passes the main flow. The result is a flat characteristic: large flows with only a few bar of override, plus the ability to vent the pilot line for remote unloading or multi-pressure control.
The reducing valve inverted
A reducing valve is normally open. Downstream pressure is fed back to one end of the spool against the spring; as downstream pressure approaches the setting, the spool moves to throttle the inlet, and in hydraulic versions with drained spring chambers it can close fully and even relieve a trapped rise. In a pneumatic diaphragm regulator the same feedback acts on a diaphragm; relieving types add a small vent seat in the diaphragm that bleeds downstream air to atmosphere when pressure overshoots, for instance when the tool stops.
Droop, hysteresis and stability
Regulated pressure falls as flow rises, because the spring relaxes as the element strokes open; this droop is the central performance figure of any regulator, and pilot operation exists largely to flatten it. Hysteresis, the difference between the pressure on rising and falling flow, comes from friction at seals and guides. Instability shows as hunting or squeal, usually from operating far below intended flow, long pilot lines, or air trapped in hydraulic pilot chambers.
Counterbalance behaviour
A counterbalance valve holds a load-induced pressure with a check valve for free flow in the raising direction. Its relief section is piloted both internally by load pressure and externally by pressure on the opposite side of the actuator; the pilot ratio determines how much external pressure is needed to open it. High ratios are efficient but less stable on flexing structures, low ratios give smooth motion at the cost of heat, which is why the load case belongs in the enquiry.
What failure looks like
Contamination scores spools and seats, turning crisp settings into drift and leakage; undersized valves overheat circuits; oversized regulators hunt at low draw. Filtration to the manufacturer's cleanliness class, honest flow figures and correct range selection prevent nearly all of it.