The
refinery hydrogen distribution system usually comprises a set of hydrogen main
headers (pipelines) working at different pressures and hydrogen purities. Many
makeup and recycle compressors drive the hydrogen through this complex network
of consumer units, on-purpose production units, and platformers (see Figure
1a). On-purpose hydrogen plants generate high purity hydrogen at different
costs while net production units are platformers generating low purity hydrogen
as a byproduct. Hydrogen streams with different
purities, pressures and flow rates coming from make-up hydrogen plants and
platformers are supplied to multiple consumer units through the hydrogen main
headers. Purge streams from hydrotreaters containing
non-reacted hydrogen are partially recycled and mixed with fresh hydrogen
streams from hydrogen headers before re-routing them to consuming units .
The
remaining off-gas stream is burnt as fuel gas. By controlling the fuel gas
flow, the purity of the recycled hydrogen stream can be adjusted (Figure 1b). The major hydrotreater operating
constraint is a minimum hydrogen/hydrocarbon ratio along the reactor in order
to avoid carbon deposition over the catalyst and its premature deactivation. As
the catalyst cost is very significant, an effective operation of the hydrogen network will help to increase the
catalyst run length, thus
boosting the refinery profitability. Moreover, some consuming units
may have group of membranes that can be activated to separate and recycle
higher-purity hydrogen streams to the hydrogen piping network (Figure 1b).
The MINLP mathematical model
The
integrated management of the whole refinery hydrogen network is a very
challenging task that requires effective computer-aided optimization tools. The
key principle behind the hydrogen management is the fact that not all processes
need hydrogen of the same purity. This section describes the proposed MINLP framework
for the cost-effective management of refinery hydrogen systems. Main model
decision variables and constraints permit to write accurate hydrogen mass
balances in terms of purity and flowrate for every stream. The model aims at
systematically improving the use of existing refinery hydrogen supplies as a
network problem. Its main goal is to minimize the hydrogen production cost
while satisfying predefined hydrocarbon production targets, actual topological and operational restrictions as
well as minimum utility hydrogen needs at desulphurization
reactors. Problem constraints related to hydrogen production units, headers and
consumer units are introduced below.
1. Hydrogen
production unit constraints. As previously stated, a refinery system usually
comprises several production units, i.e. H2-plants and catalytic reformers,
that can simultaneously be supplying hydrogen streams with different levels of
purity and pressure to the pipeline network. Therefore, if an existing
production unit uÎPU is being operated
in the refinery, i.e. Yu = 1, equations (1)
and (2) will enforce the corresponding lower and upper limits on hydrogen
flowrate (Qu) and purity (Pu), respectively.
However, it is worth mentioning that hydrogen streams generated by platformers as
a byproduct usually have a certain flowrate and purity, and consequently they
become model parameters. Here, it should be noted that the optimization model
will be able to choose the most convenient operating conditions for the
alternative hydrogen sources in order to meet hydrogen demands at minimum cost.
Equation (3) defines the amount of hydrogen feed that is being directly
supplied from production units to alternative hydrogen headers hÎH and consumer units uÎCU.
2.
Hydrogen
pipeline constraints. The refinery pipeline network receives high-purity hydrogen
streams coming from producer units and medium/low-purity streams from
platformers and consumer unit recoveries. Different headers are usually
operated at a given hydrogen purity and partial pressure. Equations (4) and (5)
enforce a hydrogen mass balance between inlet and outlet streams in every
header. Therefore, if at a given moment the hydrogen production exceeds the
actual consumption, the balance is satisfied by supplying the surplus hydrogen
to the refinery fuel gas system. In turn, equation (6) computes the header
hydrogen purity (Ph) taking into
account the total hydrogen flowrate in the header (Qh), the flowrate of
hydrogen inlet streams coming from alternative sources (quh) and their
corresponding purities (Pu
and Poutu).
3.
Hydrogen
consumer unit constraints. Consumer units carry out different hydrotreating operations
by utilizing the hydrogen streams available in the network. Equation (7)
computes the total hydrogen feed (Qinu) being supplied to
consumer unit u from different
sources while the bilinear equation (8) determines the actual purity (Pinu) of the combined
hydrogen inlet stream. In turn, equation (9) forces a minimum purity
requirement for the combined inlet stream of every consumer unit. The minimum
hydrogen need for processing the oil fraction (cu) being treated in unit u is specified by equation (10) by enforcing a minimum
hydrocarbon/hydrogen ratio. Equations (11) and (12) predict the flowrate (Qoutu) and purity (Poutu) of the non-reacted
hydrogen stream from unit u.
These
estimations are obtained by using non-linear correlations fq and fp that are functions of the flowrate and purity of the inlet
streams as well as the inherent features of the oil fraction being hydrotreated
in the unit, i.e. density, sulphur and aromatics content, etc. Finally, equation (13) determines the amount
of off-gas that is being recycled and supplied to headers and other consumer
units.
4. Objective function. The proposed
objective function computes the total hydrogen cost required for hydrotreating
pre-specified oil-fractions. The non-linear correlation fc calculates the total production cost as a function of the
current hydrogen purity and flowrate in each producer unit u. This function may easily accommodate internal and/or
external hydrogen suppliers with different cost and restrictions.
Alternatively, the proposed model with minor changes could be used for
maximizing the refinery profitability. In this case, the model may optimally
select the oil-fractions to be hydroteated subject to minimum and maximum
oil-fraction demands and a maximum hydrogen availability. This scenario seems
to be particularly interesting for dealing with ultra low-sulphur targets and,
consequently, future hydrogen shortfalls.
Case study
A
case study of a H2 network comprising two on-purpose plants, two platformers
and eight hydrotreating units with different needs of hydrogen purity and
flowrates is depicted in Figure 2a. In turn, Figure 2b shows the optimal
hydrogen balance when the HD3 hydrogen purity need decreased to 95.9%. The optimal
balance generated by the MINLP model with modest CPU time obtained a 25% reduction
in H2 production cost.
Conclusions and future work
An
MINLP-based approach has been presented to optimally manage complex hydrogen
networks of refinery operations. The proposed model is able to systematically
reduce utility cost by increasing hydrogen recovery in consumer units and
reducing production cost in the alternative hydrogen suppliers. This project
stage is mainly focused on a rigorous treatment of hydrogen mass balances.
Future work will aim at extending the model to also consider actual compression
costs and operational restrictions as well as the use of alternative separation
units (membranes) to recycle higher-purity off-gas to consumer units.