Expansion machines in thermodynamic cycles operate at low pressures, i.e. below 10 bar. The interplay among components including gas generator, expansion machine, heat exchangers and pressure reduction device (absorber or condenser) is optimized, resulting in configurations operating at the lowest a
Expansion machines in thermodynamic cycles operate at low pressures, i.e. below 10 bar. The interplay among components including gas generator, expansion machine, heat exchangers and pressure reduction device (absorber or condenser) is optimized, resulting in configurations operating at the lowest achievable cost level. A single stage radial turbine characterized by a pressure ratio of 5-10, a dimensionless speed of about 0.7 and a loading coefficient of 0.7 is a preferred expansion machine for certain thermodynamic cycles involving CO2 gas to permit such radial turbines to operate close to their optimum design specification and highest efficiency level. Methods to handle liquids which may condense within or inside the turbine are also disclosed, as well as methods to handle axial pressure on bearings and methods to protect lubricant in bearings.
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1. A method to operate a thermodynamic cycle involving a working gas/fluid whereby the working gas/fluid passes from a hot, upstream side to a cold, downstream side of the thermodynamic cycle through a system comprising an inlet channel, an expansion machine operating at pressures below 10 bar maxim
1. A method to operate a thermodynamic cycle involving a working gas/fluid whereby the working gas/fluid passes from a hot, upstream side to a cold, downstream side of the thermodynamic cycle through a system comprising an inlet channel, an expansion machine operating at pressures below 10 bar maximum pressure, and an electricity generator operably coupled to the expansion machine so as to generate electricity, wherein the method comprises: employing a single stage radial turbine as the expansion machine; wherein the single stage radial turbine comprises a high pressure side, an inlet at the high pressure side coupled to the inlet channel, a low pressure side and rotating turbine blades arranged on an axle defining a Z direction, andwherein the single stage radial turbine is operated at a dimensionless speed in a range of 0.55-0.85;receiving heat from a heat source that is at least one of the following: geothermal heat, solar heat, industrial waste heat and heat from combustion processes, wherein the heat used has a temperature within a range of 60-120° C.;passing a working gas/fluid through the single stage radial turbine comprising at least one of CO2, solvent, amine, and water;partly or wholly removing condensing liquid in the single stage radial turbine away from the single stage radial turbine towards an absorption chamber by at least one of allowing the condensing liquid to escape downstream of the inlet channel, but upstream of the rotating turbine blades, and allowing the condensing liquid to escape upstream of the inlet channel;operating the single stage radial turbine at a ratio of pressures on the hot, upstream side versus the cold, downstream side of the thermodynamic cycle to be in a range of 6-9; andmaintaining a pressure on a cold side of a thermodynamic process below 0.8 bar by providing cooling to the working gas/fluid on the cold side. 2. The method according to claim 1, wherein the single stage radial turbine is operated at a loading coefficient of about 0.7. 3. The method according to claim 1, wherein: CO2 is the working gas/fluid, andthe ratio of pressures operating step is carried out using absorbent fluids comprising amines for reversibly absorbing or desorbing CO2. 4. The method according to claim 1, wherein the ratio of pressures is in a range of 7-8. 5. The method according to claim 1, wherein the pressure maintaining step comprises maintaining the pressure on the cold side of the thermodynamic process below 0.5 bar. 6. The method according to claim 1, wherein the single stage radial turbine has a rotational speed in a range of 18,000 to 30,000 revolutions per minute (rpm). 7. The method according to claim 1, wherein the working gas/fluid is selected from solvents comprising at least one of acetone, butanol, isopropanol, ethanol, amines and water or solvent mixtures. 8. The method according to claim 1 wherein, when CO2 is the working gas/fluid, the method further comprises: leading the working gas/fluid downstream of the single stage radial turbine through a diffusor into the absorption chamber, where the working gas/fluid is condensed,wherein the diffusor is arranged such that the working gas/fluid moves in a swirling mode within the absorption chamber. 9. The method according to claim 1, further comprising: reducing a pressure acting onto the turbine blades in the Z direction by at least 20% by letting an amount of at least 20% of the working gas/fluid at a high pressure side escape to the low pressure side. 10. The method according to claim 1, further comprising: reducing a pressure acting onto the turbine blades in the Z direction by at least 75% by letting an amount of at least 75% of the working gas/fluid at a high pressure side escape to the low pressure side. 11. A system to be used in a thermodynamic cycle involving a working gas/fluid passing from a hot, upstream side to a cold, downstream side of the thermodynamic cycle, the system comprising: an inlet channel;an expansion machine fluidly coupled to the inlet channel and operating at pressures below 10 bar maximum pressure; wherein the expansion machine is a single stage radial turbine comprising a high pressure side, an inlet at the high pressure side coupled to the inlet channel, a low pressure side and rotating turbine blades arranged on an axle defining a Z direction,wherein the single stage radial turbine is operable at a dimensionless speed in a range of 0.55-0.85,wherein the expansion machine receives heat from a heat source that is at least one of the following: geothermal heat, solar heat, industrial waste heat and heat from combustion processes, the received heat having a temperature within a range of 60-120° C.,wherein a working gas/fluid is passed through the single stage radial turbine and the working gas/fluid includes at least one of CO2, solvent, amine and water, andwherein the single stage radial turbine operates at a ratio of pressures on the hot, upstream side versus the cold, downstream side of the thermodynamic cycle to be in a range of 6-9;an absorption chamber or condenser where the working gas/fluid is condensed or absorbed, wherein the absorption chamber or condenser provides cooling to the working gas/fluid and wherein a pressure on a cold side of a thermodynamic process is maintained below 0.8 bar; andan electricity generator operably coupled to the expansion machine so as to generate electricity. 12. The system according to claim 11, wherein the single stage radial turbine is stabilized by at least one bearing arranged in a gas/fluid space on the high pressure side of the single stage radial turbine. 13. The system according to claim 12, wherein the single stage radial turbine comprises a flow-restricting path to allow escape of an amount of high pressure gas/fluid from the gas/fluid space towards the low pressure side, resulting in lowering a pressure in the gas/fluid space. 14. The system according to claim 13, wherein the flow-restricting path comprises a gas flow reducing labyrinth seal. 15. The system according to claim 11, wherein the turbine blades are perforated with at least one hole from the low pressure side to the high pressure side. 16. The system according to claim 14, wherein the single stage radial turbine comprises a bypass leading from the high pressure side to the low pressure side. 17. The system according to claim 16 is, wherein the bypass comprises a valve controlling flow through the bypass. 18. The system according to claim 16, wherein the bypass comprises at least one balancing hole along the axle roughly in the Z direction.
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