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A thermodynamic study of waste heat recovery from GT-MHR using organic Rankine cycles

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Abstract

This paper presents an investigation on the utilization of waste heat from a gas turbine-modular helium reactor (GT-MHR) using different arrangements of organic Rankine cycles (ORCs) for power production. The considered organic Rankine cycles were: simple organic Rankine cycle (SORC), ORC with internal heat exchanger (HORC) and regenerative organic Rankine cycle (RORC). The performances of the combined cycles were studied from the point of view of first and second-laws of thermodynamics. Individual models were developed for each component and the effects of some important parameters such as compressor pressure ratio, turbine inlet temperature, and evaporator and environment temperatures on the efficiencies and on the exergy destruction rate were studied. Finally the combined cycles were optimized thermodynamically using the EES (Engineering Equation Solver) software. Based on the identical operating conditions for the GT-MHR cycle, a comparison between the three combined cycles and a simple GT-MHR cycle is also were made. This comparison was also carried out from the point of view of economics. The GT-MHR/SORC combined cycle proved to be the best among all the cycles from the point of view of both thermodynamics and economics. The efficiency of this cycle was about 10% higher than that of GT-MHR alone.

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Abbreviations

cond:

Condenser

c:

Compressor

C:

Fluid capacity (kJ/kg K)

CoE:

Cost of electricity ($/MWh)

\( {\dot{\text E}} \) :

Exergy rate (kW)

GT:

Gas turbine

h:

Specific enthalpy (kJ/kg)

Hp:

High pressure

HORC:

Organic Rankine cycle with internal heat exchanger

i:

Discant rate, –

IC:

Intercooler

IHE:

Internal heat exchanger

Lp:

Low pressure

MED:

Multiple effect distillation

MHR:

Modular helium cooled reactor

\( {\dot{\text m}} \) :

Mass flow rate (kg/s)

N:

Life time (year)

OFOH:

Open feed-organic fluid

ORC:

Organic Rankine cycle

P:

Pressure (kPa)

PEC:

Purchased-equipment cost

PBMR:

Pellet bed modular reactor

q:

Specific heat rate (kJ/kg)

\( {\dot{\text Q}} \) :

Heat transfer rate (kW)

R:

Ideal gas constant (kJ/kg K)

RORC:

Regenerative organic Rankine cycle

s:

Specific entropy (kJ/kg k)

SORC:

Simple organic Rankine cycle

T:

Temperature (°C)

TCI:

Total capital investment ($)

Te:

Evaporative temperature (°C)

Teq :

Operating hours (h)

\( {\bar{\text T}} \) :

Thermodynamic mean temperature (K)

uvar :

Variable O&M cost ($/MWh)

Ufixed :

Fixed O&M cost ($)

v:

Specific volume (m3/kg)

\( {\dot{\text w}} \) :

Power generation (kW)

x:

Quality (%)

Y:

Exergy destruction ratio

YF :

Fuel cost ($/MWh)

ηI :

First-law efficiency (%)

ηII :

Second-law efficiency (%)

ηP :

Polytropic efficiency (%)

ɛ:

Effectiveness (%)

ΔPcore :

P7 − P1 (kPa)

ΔPE :

P3 − P4 (kPa)

ΔPPre :

P4 − P5 (kPa)

ΔPrec,HP :

P6 − P7 (kPa)

ΔPrec,LP :

P2 − P3 (kPa)

ΔTE :

Minimum temperature difference in evaporator (Tpp = Te + ΔTE) (K)

ΔTsup :

Superheat degree in ORC turbine inlet (T10 = Te + ΔTsup) (K)

0:

Dead state

1, 2, 3, …..:

Cycle locations

c:

Condenser

CW:

Cooling water

D:

Destruction

E:

Evaporator

H:

High

I:

First law

II:

Second law

L:

Low

p:

Pump

pc:

Pre-cooler

pp:

Pinch point

rec:

Recuperator

s:

Isentropic

sup:

Superheating

T:

Turbine

th:

Thermal

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Yari, M., Mahmoudi, S.M.S. A thermodynamic study of waste heat recovery from GT-MHR using organic Rankine cycles. Heat Mass Transfer 47, 181–196 (2011). https://doi.org/10.1007/s00231-010-0698-z

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  • DOI: https://doi.org/10.1007/s00231-010-0698-z

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