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\newcommand{\AI}{\hbox{ARIES-I}}
\newcommand{\AII}{\hbox{ARIES-II}}
\newcommand{\VTS}{\hbox{V-3Ti-1Si}}
\newcommand{\VCT}{\hbox{V-15Cr-5Ti}}
\newcommand{\HT}{\hbox{HT-9}}
\newcommand{\degC}{$^\circ$C}
\newcommand{\SdegC}{$\,^\circ$C}
\newcommand{\degF}{$^\circ$F}
\newcommand{\SdegF}{$\,^\circ$F}
\newcommand{\SPL}{MgAl$_2$O$_4$}
\newcommand{\AlO}{Al$_2$O$_3$}
\newcommand{\LNO}{LiNO$_3$}
\newcommand{\Z}{\phantom{0}}
\newcommand{\D}{\phantom{.0}}
\newcommand{\W}{\phantom{.}}
\newcommand{\Y}{\phantom{$\sim$ }}
\newcommand{\X}{\times}
\newcommand{\Dtf}{\hbox{$\Delta T_f$}}
\newcommand{\Dtw}{\hbox{$\Delta T_w$}}
\newcommand{\WR}{\hbox{W-26Re}}

\newcommand{\NB}{Nb$_3$Sn}
\newcommand{\NA}{Nb$_3$Al}
\newcommand{\NAG}{Nb$_3$(Al,Ge)}
\newcommand{\LZ}{Li$_2$ZrO$_3$}
\newcommand{\LS}{Li$_4$SiO$_4$}
\newcommand{\LO}{Li$_2$O}

\title{\bf 9. POWER CONVERSION}
\author{
\hbox to \hsize{
\hbox to 2.truein{                             \hfil } \hfil
\hbox to 2.truein{\hfil Mohammad Z. Hasan      \hfil } \hfil
\hbox to 2.truein{\hfil                        } } \\
}
\date{ }
\maketitle

\begin{titlepage}
{\tableofcontents}
\end{titlepage}

\setcounter{page}{1}

\chapter{POWER CONVERSION}

\section{INTRODUCTION}
\label{s-9-1}

For a commercial reactor design, the objective of power conversion is to
convert the thermal power into electricity at the highest possible conversion
efficiency. Higher efficiency leads to less thermal pollution and, in general,
lower cost of electricity. The conversion efficiency of a thermal cycle is
directly related to  the temperature potential at which the thermal power is
recovered from the reactor core. Therefore, the selection of a thermal cycle
and the obtainable conversion efficiency are intimately related to the
thermal-hydraulic design of the first wall, blanket, and divertor. 

In the thermal-hydraulic design of the \AI\ fusion power core,  helium at
\hbox{10-MPa} pressure is used as the primary coolant.  The total useful
thermal power recovered by the primary coolant is  2544~MW, of which about 88\%
is recovered by the first-wall/blanket coolant circuit and the rest by the
divertor coolant circuit. The inlet and outlet temperatures of the primary
coolant are, respectively, 350 and 650\SdegC. The inlet temperature is
chosen so as to optimize the power conversion  efficiency and, at the same
time, meet the thermal-hydraulic  design constraints. 

The particular combination of the primary coolant and its operating pressure, 
structural material, and coolant channel configuration has made the gas cooled
design of the reactor core of \AI\ with a coolant exit temperature of
650\SdegC\ possible. The structural material for the first wall and blanket 
and for the divertor plate is silicone-carbide composite. The divertor
plate is coated with 2~mm of tungsten as the armor.
Section~5 discusses the detailed design of the divertor plate and  Sec.~8 with
that of the first wall and blanket. \hbox{Table~\ref{t-9-1-1}} shows the major
parameters of \AI\ that are relevant to the power conversion system.

\begin{table}[t]
\caption{}
\centering
{\bf ARIES-I Parameters Relevant to the Power Conversion System}
\vspace{1.cm}
\renewcommand{\arraystretch}{1.3}
\begin{tabular}{l @{\hspace{1.truein}} c}
\hline
\\
Fusion power (MW)                              & 1,925 \\
Blanket energy multiplication                  & 1.3 \\
Current-drive power (MW)                       & \phantom{2,5}94 \\
First-wall-/blanket-coolant pumping power (MW) & \phantom{2,5}15 \\
Divertor-coolant pumping power (MW)            & \phantom{2,5}35 \\
Total useful thermal power (MW)                & 2,544 \\
Primary coolant                                & Helium \\
Helium pressure (MPa)                          & 10 \\
Helium inlet temperature (\degC)               & 350 \\
Helium exit temperature (\degC)                & 650 \\
\\ \hline
\end{tabular}
\label{t-9-1-1}
\end{table}

The primary-coolant exit temperature of 650\SdegC\ is not high enough to
necessitate consideration of such an advanced  concept as plasma
magnetohydrodynamic power conversion. However, this temperature is
significantly higher than the maximum steam temperatures in the Rankine steam
cycles presently used in the fossil-fuel power plants. Therefore, advanced
conventional and nonconventional thermal power cycles  have been considered for
\AI. This section presents the various  thermal cycles that have been
investigated, the selection of the reference  cycle, and the results of the
analysis of the reference cycle.

\section{CANDIDATE POWER CYCLES}
\label{s-9-2}

In order to select a suitable power-conversion system, the following three
categories of thermal power cycles have been considered: dissociating-gas,
inert-gas Brayton, and  Rankine steam. The dissociating-gas cycles are
nonconventional cycles; the inert-gas Brayton and Rankine steam cycles are
conventional cycles that are presently in use for commercial power conversion.

\subsection{Dissociating-Gas Cycles}
\label{s-9-2-1}

Dissociating-gas cycles are under theoretical and experimental  investigations.
The working fluids in these cycles are chemically reacting gases that undergo
endothermic dissociation reaction when heated (in the heat exchanger,
regenerator, {\it etc.}) and exothermic recombination reaction when cooled
(while expanding through the turbine). These gases have higher effective heat
capacity and thermal conductivity, and smaller specific volume at low
temperature compared to the commonly used inert gases. The dissociating gases
also perform better than inert gases as coolants. Hasan and
Martin~\cite{has89} have addressed the issue of using dissociating gases as the
primary coolant and working fluids in power cycles for fusion applications.

A partial list of the prospective dissociating gases is given in
\hbox{Table~\ref{t-9-2-1}}.  \hbox{Table~\ref{t-9-2-2}} provides the main
physical properties of the two most widely studied prospective dissociating
gases, nitrogen tetroxide (N$_2$O$_4$) and nitrosyl chloride (NOC$\ell$),
for use both as heat transfer media and as working fluids for power cycles. 
These gases are, however, toxic and corrosive.

\begin{table}[b]
\caption{}
\centering
{\bf A Partial List of Dissociating Gases}
\vspace{1.cm}
\renewcommand{\arraystretch}{1.3}
\begin{tabular}{l c c c}
\hline
                               & Gas-Constant   & $\Delta$H$_R$ & Temperature \\
{\hfil Dissociating Gas \hfil} & Multiplication & (kcal/kg) & Range (\degC) \\
\hline
   & \hbox to 1.2truein{\hfil} & \hbox to 1.2truein{\hfil}
        & \hbox to 1.2truein{\hfil} \\
N$_2$O$_4 \rightleftharpoons$ 2NO$_2$  
     & 2\D & \Z13.7\Z & \Z25 -- 170\Z \\
2NO$_2 \rightleftharpoons$ 2NO + O$_2$ 
     & 1.5 & \Z27.0\Z &  140 -- 850\Z \\
2NOC$\ell \rightleftharpoons$ 2NO + C$\ell$$_2$ 
     & 1.5 & \Z\Z9.21 & \Z25 -- 900\Z \\
A$\ell$$_2$Br$_6\rightleftharpoons$ 2A$\ell$Br$_3$
     & 2\D & \Z30.0\Z &  300 -- 1,400 \\
A$\ell$$_2$C$\ell$$_6\rightleftharpoons$ 2A$\ell$C$\ell$$_3$
     & 2\D & \Z29.8\Z &  200 -- 1,100 \\
A$\ell$$_2$Br$_6$ + 4A$\ell$(liq)$\rightleftharpoons$ 6A$\ell$Br
     & 6\D &  282.4\Z &  670 -- 1,400 \\
A$\ell$$_2$C$\ell$$_6$ + 4A$\ell$(liq)$\rightleftharpoons$ 6A$\ell$C$\ell$
     & 6\D &  263.8\Z &  670 -- 1,200 \\
\\ \hline
\end{tabular}
\label{t-9-2-1}
\end{table}

\begin{table}[t]
\caption{}
\centering
{\bf Properties of N$_2$O$_4$ and NOC$\ell$}
\vspace{1.cm}
\renewcommand{\arraystretch}{1.3}
\begin{tabular}{l c c}
\hline
{\hfil Property\hfil} & N$_2$O$_4$ & NOC$\ell$ \\
\hline
 \hbox to 1.9truein{\hfil} & \hbox to 1.9truein{\hfil}
        & \hbox to 1.9truein{\hfil} \\
Molecular weight (g/mole)    & 92.02    & 65.46 \\
Boiling point (\degC)        & \Z 21.3     & \Z --5.8 \\
Melting point (\degC)        & --11.0    & --61.5 \\
Critical temperature (\degC) & 158.3    & 167.5 \\
Critical pressure (atm)      & 103.3    & \Z 90.0 \\
Heat of reaction (kcal/kg)   & 149/293  & 141.7 \\
Reaction process 
           & N$_2$O$_4\rightleftharpoons$2NO$_2$$\rightleftharpoons$2NO+O$_2$ 
                  & 2NOC$\ell$$\rightleftharpoons$2NO +C$\ell$$_2$  \\  
Temperature range (\degC) \\
\quad \Z\Z1~atm           & 25 -- 850\Z & 25 -- 900 \\
\quad 100~atm             & 25 -- 1,200  & --- \\
\\ \hline
\end{tabular}
\label{t-9-2-2}
\end{table}
   
The gases in \hbox{Table~\ref{t-9-2-1}} have large temperature ranges over
which dissociation and recombination reactions take place. For example, for the
N$_2$O$_4$ system, the dissociation and recombination reactions take place at
up to \hbox{$\sim$850\SdegC} at 1~atm pressure and 1200\SdegC\ at 100~atm
pressure. Therefore, over a wide range, the favorable thermodynamic effects of
the chemical reactions on the cycle efficiency can be realized. There are
several such effects. Because of the decrease in the  number of moles in the
compressor (caused by recombination at low  temperature), the compressor work
is much less with a dissociating  gas than with an inert gas. Regeneration is
also more efficient because of the heat of reaction and better heat transfer
capability of the dissociating gases. Because of higher heat capacity and
smaller specific volume of the dissociating gases at low temperature, the low
pressure turbine is smaller and has fewer stages than turbines that use steam
or inert gas as the working fluid. 

Of the two most-analyzed dissociating gases, NOC$\ell$ is used in the Brayton
cycle and N$_2$O$_4$ can be used in both Brayton and Rankine cycles. Typical
predicted efficiencies for given maximum-cycle temperatures are shown in
\hbox{Table~\ref{t-9-2-3}}. In this table, \hbox{NOC$\ell$-N$_2$O$_4$} stands
for a compound cycle with a topping Brayton cycle using NOC$\ell$ and a
bottoming Rankine cycle using N$_2$O$_4$.  A comparison of an N$_2$O$_4$ turbine
and a steam turbine is  shown in \hbox{Table~\ref{t-9-2-4}}.

\begin{table}
\caption{}
\centering
{\bf Typical Cycle Efficiency}
\vspace{1.cm}
\renewcommand{\arraystretch}{1.3}
\begin{tabular}{l @{\hspace{1.truecm}} c @{\hspace{1.truecm}} c}
\hline
                   & Maximum Cycle   & \\
Cycle Type         & Temperature (K) & Efficiency [Ref.] \\
\hline \\
NOC$\ell$-N$_2$O$_4$         &  1,000 & 55\%~\cite{hua88} \\
N$_2$O$_4$-N$_2$O$_4$        &  1,000 & 51\%~\cite{hua88} \\
A$\ell$Br$_3$-N$_2$O$_4$     &  1,000 & 48\%~\cite{hua88} \\
A$\ell$$_2$Br$_6$-N$_2$O$_4$ &  1,000 & 56\%~\cite{nes75} \\
NOC$\ell$                    & \phantom{1,}900 & 40\%~\cite{kes81} \\
\\ \hline
\end{tabular}
\label{t-9-2-3}
\end{table}

\begin{table}
\caption{}
\centering
{\bf Turbine Parameters with N$_2$O$_4$ and H$_2$O as Working Fluids}
\vspace{1.cm}
\renewcommand{\arraystretch}{1.3}
\begin{tabular}{l c c}
\hline
                       & N$_2$O$_4$ & Steam \\
\hline
 & \hbox to 1.2truein{\hfil} & \hbox to 1.2truein{\hfil} \\
Output (MW)                  & 500  & 500 \\
Throttle pressure (atm)      & 240  & 240 \\
Throttle temperature (\degC) & 565  & 580 \\
Exit pressure (atm)          & 1.4  & 0.035 \\
Number of stages             & 10   & 42 \\
Length (m)                   & 16.8 & 29.1 \\
Weight (tons)                & 180  & 964 \\
Cost (1,000 rubles)           & 619  & 1,600 \\
\\ \hline
\end{tabular}
\label{t-9-2-4}
\end{table}

The principal advantages of a dissociating-gas cycle are:  (1) higher possible
maximum cycle temperature and  higher efficiency than the Rankine steam cycle,
and  (2) smaller turbine, regenerator, {\it etc.,} thus leading to a more 
compact design than either the inert-gas Brayton or the Rankine steam cycles. 
The main disadvantages are:  (1) safety hazard from the toxicity of N$_2$O$_4$
and NOC$\ell$, and  (2) materials need to be developed, especially for high
temperature applications.

\subsection{Inert-Gas Brayton Cycle}
\label{s-9-2-2}

A power plant based on the inert-gas Brayton  cycle is more compact and can
have a much higher maximum-cycle temperature than a Rankine steam plant.
Open-cycle gas turbines,  which are used in aircraft engines, have a maximum
cycle temperature of about 1200\SdegC. Closed-cycle gas turbines (CCGT) are,
however, limited to lower maximum temperatures. Existing fossil-fuel CCGT
plants have a maximum temperature of about 750\SdegC. The maximum temperature
for advanced coal-fired CCGT plants is expected to be about 850\SdegC. Even at
this high temperature, the efficiency of CCGT is about 40\%~\cite{mcd80}. This
is much lower than the efficiency of an advanced Rankine steam cycle with a
maximum temperature of about 600\SdegC.

\subsection{Rankine Steam Cycle}
\label{s-9-2-3}

The Rankine steam cycle is used predominantly for power conversion in
present-day fossil-fuel and nuclear power plants. For the same maximum cycle 
temperature, the Rankine steam cycle offers the highest efficiency of all of 
the thermal cycles.  For the \AI\ reactor, the dissociating-gas cycle was not
selected primarily for safety reasons and because materials development is
needed.  In addition, the maximum cycle temperature that is possible for \AI\
(\hbox{$\sim$600\SdegC}) can be utilized by an advanced Rankine steam cycle. 
The inert-gas Brayton cycle, although more compact, would provide much lower
conversion efficiency than the Rankine steam cycle. Therefore, an advanced
Rankine steam cycle is selected as the reference cycle for \AI. The remainder
of this section deals with the selection of an advanced steam cycle and an
analysis of its performance.

\section{STATUS OF ADVANCED RANKINE STEAM CYCLE}
\label{s-9-3}

Both subcritical and supercritical steam plants are operational at present.  In
the U.S., 159 supercritical units are operational in 89 plants representing
15\% of the total U.S.\ plants. The present-day standard supercritical Rankine
cycle has steam conditions of 24.1~MPa/565.6/565.6/565.6\SdegC\ which means
that the maximum throttle steam pressure is 24.1~MPa, there are two reheats,
and the steam temperatures after superheat ($T_{SH}$) and each reheat ($T_{R1}$
and $T_{R2}$) are equal to 565.6\SdegC. The goal for the 1990s is to obtain the
steam conditions of 27.6 to 34.5~MPa/593.3/593.3/593.3\SdegC. The Electric
Power Development Co.  of Japan is studying cycles with the steam conditions of 
34.5~MPa/648.9/593.3/593.3\SdegC~\cite{epr85}.

Currently, advanced supercritical steam cycles are operational primarily to
test, gather data, and study technical issues and economic competitiveness. The
Eddystone Station (unit-1) supercritical steam plant of the Philadelphia
Electric Co. has the steam conditions of 
34.5~MPa/648.9/565.6/565.6\SdegC~\cite{epr85}. It has been operating for over 
20~years. Its capacity is 325~MWe and it has achieved an availability of 76\%.

\subsection{Findings of Studies Sponsored by EPRI}
\label{s-9-3-1}

Electric Power Research Institute (EPRI) has sponsored a number of studies to
assess the performance of fossil-fuel power plants and to develop advanced
supercritical plants~[\citelist{epr82a}\,-\,\citelist{epr86}]. In one of  these
studies, Westinghouse Electric Co.\ performed an engineering assessment of
pulverized-coal power plants~\cite{epr82a} and found a reduction in levelized
busbar cost  of electricity (LB-COE) of 2.3~mills/kWh. It also found an 
\hbox{865-Btu/kWh}  improvement in heat rate as a result of switching from an
existing base design with the steam conditions of
24.1~MPa/537.8/551.7/565.6\SdegC\ to an advanced design with the steam
conditions of 31~MPa/593.3/565.6/565.6\SdegC. For advanced designs, the ratio of
the decrease in fuel cost to  the increase in capital cost varies from 2.74 to
6.69. The projected R\&D  cost is \$14 M over a 5-to-6-year period. 

The EPRI study also found that increases in temperature represent more of a
technical challenge than do increases in throttle pressure. In the study, the
maximum pressure is varied from 24 to 69~MPa and the maximum temperature from
538 to 760\SdegC. The limit on the maximum temperature (760\SdegC) is 
based on projections for the development of materials and manufacturing
processes for the production of a high-temperature turbine rotor.

In a similar EPRI-sponsored study conducted by General Electric, Stone \& 
Webster Engineering Corp., and Babcock \& Wilcox Co.~\cite{epr82b}, the
supercritical plants were categorized as three groups---current, advanced, and
futuristic. \hbox{Table~\ref{t-9-3-1}} shows some of the results of this study.
 
\clearpage

\begin{table}
\caption{}
\centering
{\bf Results from an EPRI Study}
\vspace{1.cm}
\renewcommand{\arraystretch}{1.3}
\begin{tabular}{l c c c}
\hline 
& Steam Conditions & Net Station Output & Total LB-COE \\
Category & (MPa/T$_{SH}$/T$_{R1}$/T$_{R2}$\SdegC) & (MWe) & (mills/kWh) \\
\hline \\
Current    & 24.1/537.8/551.6/565.6 & 671.5 & 60.9 \\
           & 31.0/537.8/551.6/565.6 & 671.5 & 59.6  \\
Advanced   & 24.1/593.3/607.2/621.1 & 671.4 & 60.4 \\
           & 31.0/593.3/621.1/648.9 & 672.9 & 60.9  \\
Futuristic & 44.8/648.9/690.6/732.2 & 674.7 & 72.5 \\
\\ \hline
\end{tabular}
\label{t-9-3-1}
\end{table}

Conclusions drawn from another study, performed by Gilbert 
Associates~\cite{epr85}, for the development of advanced fossil-fuel
power plants are:

\begin{enumerate}
\item
Under the present/near-future conditions, the economically optimum 
cycle has the steam conditions of 31~MPa/593.3/593.3/593.3\SdegC. 
\item
The availability can be increased from the present 82.2\% to 87.2\%--88.2\%. 
\item
A unit with a capacity of more than 800~MWe would require the expensive 
cross-compound arrangement of the turbines. 
\item
The 593.3\SdegC\ (1,100\degF) temperature limit is because the coal-ash 
corrosion on the gas side would cause serious problems for reheaters beyond 
this temperature.
\item
12\% Cr steel should be used to handle the ash corrosion of the 
superheater tubes.  
\item
For an 800-MWe plant, the direct cost of producing electricity is
about \$1.066/kWh.
\item
Over the plant lifetime, it is estimated that switching to the optimum 
advanced steam plant will save between \$59 and 97 M in fuel costs.
\end{enumerate}

\subsection{Advanced Steam-Cycle R\&D Needs}
\label{s-9-3-2}

The R\&D efforts that are necessary for commercial application of the advanced,
supercritical Rankine steam cycles are being made by the fossil-fuel 
power-conversion community. These 
efforts~[\citelist{epr82a}\,-\,\citelist{epr86}] include:

\begin{enumerate}
\item Better start-up control,
\item Improvement of wearability of the start-up system valves, 
\item Improvement of cyclic-duty capability,
\item Control of stress-corrosion cracking of water-wall tubing in the steam
generator,
\item Control of coal-ash corrosion of the tubes in the reheaters,
\item Better control of water quality,
\item Design of high-pressure/high-temperature feedwater heater and pump,
\item Reduction of solid particle erosion of the high-pressure turbine blades,
\item Reduction of stress corrosion of the turbine blades, and
\item Development of forging techniques for the rotor in tandem turbine
arrangement.
\end{enumerate}

\subsection{Advanced Steam Cycle for \AI}
\label{s-9-3-3}

Results from the studies discussed in the previous section show that the
selection of an advanced, supercritical Rankine steam cycle with parameters
close to those recommended by the EPRI studies would be a conservative choice
for \AI.  It is conservative because the EPRI recommendations are for meeting
the requirements of the fossil-fuel power plants in the next 20 to 30 years,
and the time scale for the introduction of the first commercial  fusion-reactor
power plant is probably longer than 30 years from now. The final selection of
the power cycle for \AI\ has been made after some parametric studies and after
considering the recommendations of the EPRI-sponsored  studies.
 
Variations of gross cycle efficiency with maximum-throttle steam temperature 
and pressure are shown in \hbox{Fig.~\ref{f-9-3-1}}. These results were obtained
by using  the computer code PRESTO~\cite{ful79}. The gross efficiency increases
with both maximum cycle pressure and temperature. A gross efficiency of about
49\%  can be obtained with an advanced steam cycle that has parameters close 
to those recommended by the EPRI study.

\begin{figure}[p]
\vspace*{7.3in}
\caption[Fig-9-3-1]
{Gross thermal efficiency of cycles with nine feedwater heaters and two reheaters
(\hbox{$T_{SH} = T_{RH1} = T_{RH2}$}) as functions of (A)~maximum-throttle
temperature and (B)~maximum-throttle pressure.}
\label{f-9-3-1}
\end{figure}

The main parameters of the selected steam cycle for \AI\ are:
\begin{enumerate}
\item Steam conditions: 31~MPa/600/600/600\SdegC\
(4500~psia/1112/1112/1112\degF),
\item Two reheats,
\item Nine regenerative feedwater heaters, and
\item Condenser back pressure of 678~Pa (2~inches of mercury).
\end{enumerate}
The objective has been to stay close to the recommended cycle in the EPRI
study. It can be expected that the necessary R\&D efforts for commercialization
of the selected power cycle will be done by the fossil-fuel power community 
well before fusion power becomes commercially available.

\section{ANALYSIS OF THE REFERENCE POWER CYCLE}
\label{s-9-4}

The thermodynamic analysis of the thermal power cycle was performed using
the code PRESTO \cite{ful79}. The minimum temperature difference between the
primary  coolant and steam is kept at \hbox{$\sim$50\SdegC}. 
\hbox{Figure~\ref{f-9-4-1}(A)} is a schematic diagram of the power cycle with the
superheater and the reheaters in conventional series arrangement.
\hbox{Figure~\ref{f-9-4-1}(B)} is the corresponding temperature-energy  diagram.
In order to realize the maximum steam temperature of 600\SdegC\ after 
superheat and after each of the two reheats,  the maximum helium temperature
must be 750\SdegC. \hbox{Figure~\ref{f-9-4-2}} shows the corresponding diagram
for parallel arrangement of the superheater and reheaters. With this
arrangement, steam temperature of 600\SdegC\ can be obtained from helium at  a
maximum temperature of 650\SdegC. Lowering the maximum helium temperature from
750 to 650\SdegC\ improves the thermostructural design of the blanket by
increasing the safety factor. Therefore, the non-conventional parallel
arrangement of the superheater and reheaters has been selected for the
reference power cycle for \AI.

\begin{figure}[p]
\vspace*{6.5in}
\caption[Fig-9-4-1]
{(A)~Schematic flow diagram of the power cycle with the reheaters and the
superheater in series (R=reactor core, SG=steam generator, SH=superheater,
RH1=first reheater, RH2=second reheater, HP=high-pressure turbine,
IP=intermediate-pressure turbine, LP=low-pressure turbine, G=electric
generator, C=condenser, and P=feedwater pump). (B)~Temperature-energy diagram
for the cycle with the superheater and reheaters in series
(\hbox{$T_{SH}=T_{RH1}=T_{RH2}=600$\SdegC}, 9~feedwater heaters, and
31~MPa steam pressure). The maximum helium temperature
required is 750\SdegC.}
\label{f-9-4-1}
\end{figure}

\begin{figure}[p]
\vspace*{6.5in}
\caption[Fig-9-4-2]
{(A)~Schematic flow diagram of the power cycle with the reheaters and
superheater in parallel (R=reactor core, SG=steam generator, SH=superheater,
RH1=first reheater, RH2=second reheater, HP=high-pressure turbine,
IP=intermediate-pressure turbine, LP=low-pressure turbine, G=electric
generator, C=condenser, P=feedwater pump). (B)~Temperature-energy diagram for
the power cycle with the reheaters and superheater in parallel (\hbox{$m_{SH} =
64\%$}, \hbox{$m_{RH1} = 22\%$}, \hbox{$m_{RH2}=14\%$}), 9~feedwater heaters,
and 31~MPa steam pressure. Maximum helium temperature of 650\SdegC\ can be
allowed.}
\label{f-9-4-2}
\end{figure}

The fractions of parallel mass-flow rates of helium through the superheater and
reheaters are, respectively, \hbox{$m_{SH} = 64\%$}, \hbox{$m_{RH1} = 22\%$},
and \hbox{$m_{RH2}=14\%$}. In order to stay within the \hbox{800-MWe} limit for
a single unit,  two turbine-generator units, each using one-half of the reactor
thermal power, are utilized. The turbines are arranged in tandem in each unit.
The gross thermal efficiency is 0.49. These major parameters of the \AI\ power
conversion system are summarized in \hbox{Table~\ref{t-9-4-1}}.

\begin{table}[p]
\caption{}
\centering
{\bf Major Parameters of the \AI\ Power Conversion System}
\vspace{1.cm}
\renewcommand{\arraystretch}{1.15}
\begin{tabular}{l @{\hspace{1.truein}} c}
\hline \\
Total helium flow rate (kg/s)     & 1,631 \\
Total steam flow rate (kg/s)  & \phantom{1,}892 \\
Number of turbine-generator sets & 2 \\
Arrangement of the turbines   & Tandem \\
Number of reheats                             & 2 \\
Number of regenerative feedwater heaters      & 9  \\
Steam conditions \\
\quad Maximum throttle pressure (MPa)      & 31 \\
\quad Temperature after superheat (\degC)  & 600 \\
\quad Temperature after 1st reheat (\degC) & 600 \\
\quad Temperature after 2nd reheat (\degC) & 600 \\
Extraction pressures (MPa) \\
\quad Heater 1 &  9.0\Z\Z \\
\quad Heater 2 &  3.8\Z\Z \\
\quad Heater 3 &  2.4\Z\Z \\
\quad Heater 4 &  1.7\Z\Z \\
\quad Heater 5 &  1.14\Z \\
\quad Heater 6 &  0.47\Z \\
\quad Heater 7 &  0.26\Z \\
\quad Heater 8 &  0.14\Z \\
\quad Heater 9 &  0.048 \\
Condenser back pressure (MPa)       & 0.0067   \\
Feedwater inlet temperature (\degC) & 301 \\
Gross thermal efficiency            & 0.49 \\
Recirculating power fraction        & 0.2 \\
Net plant efficiency                & 0.39 \\
Net electric power (MW)             & 1,000 \\
\\ \hline
\end{tabular}
\label{t-9-4-1}
\end{table}

\section{CONCLUSIONS}
\label{s-9-5}

An advanced, double reheat, supercritical Rankine steam cycle is selected for
converting the thermal power of \AI.  There are nine regenerative feedwater
heaters and the condenser back pressure is 678~Pa (2 inches of mercury). The
steam conditions are 31~MPa/600/600/600\SdegC, similar to those of the advanced
cycle recommended by several EPRI studies. The power cycle analysis was 
performed by using the PRESTO code. The minimum temperature difference between
helium and steam is kept at \hbox{$\sim50$\SdegC}. The maximum steam
temperature is obtained from the  primary-coolant exit temperature of
650\SdegC\ through the use of nonconventional, parallel arrangement of the
superheater and reheaters. The gross efficiency of this advanced cycle is 0.49.
The recirculating power fraction of the \AI\ reactor is 0.2, and is primarily
used for the current-drive system. The result net plant efficiency is 0.39 and
the net electric power produced is 1000~MWe.

The research and development efforts necessary  to commercialize the advanced
steam cycle are being made by the fossil-fuel  power-plant community. Because
of the clean source of heat (He gas) for the power conversion system of \AI,
coal-ash corrosion of the superheater or reheater tubes is not a problem.
Therefore, the possibility of attaining maximum steam temperatures higher than
600\SdegC,  which would raise the conversion efficiency close to 50\%, with the
same technology and materials as for the EPRI-recommended advanced steam cycle
should  be investigated. The feasibility and economics of using
high-temperature  ceramic heat exchangers and turbines, which could raise power
conversion efficiency  above 50\%,  should also be explored for fusion
application. Adequate lead time for such R\&D can be assumed in view of the
timetable for the expected appearance of commercial fusion-reactor power
plants. 

\clearpage
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\end{document}
