A bleed valve for a turbomachine comprising: a housing body, wherein the housing body comprises an inner diameter portion and an outer diameter portion, wherein, in use, high-pressure fluid flows therebetween, and wherein the housing body comprises an inlet housing and an outlet housing, wherein the outlet housing is downstream of the inlet housing; a hollow shaft defining a valve axis having a first end mounted to an inner diameter portion of the inlet housing and a second end mounted to an end cap of an inner diameter portion of the outlet housing, wherein the hollow shaft comprises a shaft passage; a full-area piston slidably mounted to the hollow shaft between the inlet housing and the end cap for movement between an open and a closed position; a first pressure chamber defined between an upstream side of the piston and the inner diameter portion of the inlet housing in fluid communication with an intermediate-pressure port; and a second pressure chamber defined between a downstream side of the piston and the end cap in fluid communication with a solenoid pressure port through the shaft passage, wherein an area of an upstream surface of the piston at an angle with respect to the valve axis and in fluid communication with the first pressure chamber is substantially equal to an area of a downstream surface of the piston at an angle with respect to the valve axis and in fluid communication with the second pressure chamber; wherein the solenoid pressure port is configured to connect to a solenoid pressure valve that controls the pressure in the second pressure chamber, characterized in that the solenoid pressure port is part of the inlet housing; and in that, in an open position, a conical end portion of an outer sleeve of the piston forms a substantially conical surface in conjunction with the end cap. a housing body, wherein the housing body comprises an inner diameter portion and an outer diameter portion, wherein, in use, high-pressure fluid flows therebetween, and wherein the housing body comprises an inlet housing and an outlet housing, wherein the outlet housing is downstream of the inlet housing; a hollow shaft defining a valve axis having a first end mounted to an inner diameter portion of the inlet housing and a second end mounted to an end cap of an inner diameter portion of the outlet housing, wherein the hollow shaft comprises a shaft passage; a full-area piston slidably mounted to the hollow shaft between the inlet housing and the end cap for movement between an open and a closed position; a first pressure chamber defined between an upstream side of the piston and the inner diameter portion of the inlet housing in fluid communication with an intermediate-pressure port; and a second pressure chamber defined between a downstream side of the piston and the end cap in fluid communication with a solenoid pressure port through the shaft passage, wherein an area of an upstream surface of the piston at an angle with respect to the valve axis and in fluid communication with the first pressure chamber is substantially equal to an area of a downstream surface of the piston at an angle with respect to the valve axis and in fluid communication with the second pressure chamber; wherein the solenoid pressure port is configured to connect to a solenoid pressure valve that controls the pressure in the second pressure chamber, characterized in that the solenoid pressure port is part of the inlet housing; and in that, in an open position, a conical end portion of an outer sleeve of the piston forms a substantially conical surface in conjunction with the end cap.