
 
account operating conditions and design parameters. 
This makes them not very suited for a good 
performance analysis.  
Dimensional analysis is a mathematical system 
using conversion factor to move one unit of 
measurement to a different unit of measurement 
(Langhaar, 1951). The basic idea of dimensional 
analysis is that physical laws do not depend on the 
arbitraries in the choice of units of physical 
quantities. Every physical equation or relation 
between variables and/or dimensioned constants 
should be dimensionally consistent. In other words, 
each term of the equation or relation should have the 
same dimensions. Dimensional consistency imposes 
a certain number of constraints that are functional 
relations between the variables. This constitutes the 
main principle for dimensional analysis. 
Manipulating variables to create dimensionless 
groups or numbers to describe the physical 
phenomenon has widely been used in the chemical 
engineering or fluid mechanics field such as 
Reynolds number (Re) to describe the type of flows 
in all types of fluid problems, Froude number (Fr), 
for modeling flow with a free surface, or Nusselt 
(Nu), Biot (Bi), Peclet (Pe) for heat transfers or 
Carnot (ƞ) for energy efficiency. Hence, it is a 
pertinent idea to create performance indicators based 
on dimensional analysis. 
Pulp and paper industries are driven by steam, 
water and chemicals which makes them suitable for 
exergy studies. Exergy analysis is a valuable tool to 
evaluate the efficiency of a process. However, it has 
not evolved into a systematic method, such as Pinch 
Analysis or Water Pinch and has not been applied on 
a real Canadian Kraft mill, in combination with 
other tools for equipment performance analysis. 
Moreover, traditional energy studies only consider 
thermal energy. Exergy analysis considers all forms 
of energy and also the internal energy of the matter 
called chemical exergy.  
Most published studies on performance 
evaluation analysis or energy improvement methods 
are based on computer simulation models. A 
recurrent problem of process simulation is the lack 
of explanation or information of how the data, used 
for all analyses, were gathered or treated. The 
simulation models are often not based on real 
reconciled mill data. There is no incentive in seeking 
to optimize a model, when it does not match the 
actual behavior of the real plant. A representative 
model based on reconciled data is a prerequisite step 
to any optimization or evaluation measure. 
However, lack of data redundancy in real Kraft mills 
has made data reconciliation complicated or 
unfeasible. No data reconciliation of a complete 
operating Canadian Kraft mill has been published. 
There have been studies on data reconciliation on 
Canadian newsprint mills, but never on a real Kraft 
mill (Bellec et al., 2007); (Jacob and Paris, 2003). 
4 METHODOLOGY 
To perform a complete equipment performance 
evaluation, the overall unified methodology shown 
in figure 8 is developed and applied. It consists of 6 
main steps. The first step is to obtain a coherent 
model simulation that represents a steady-state of the 
process. To do so, real mill data collection, gross 
error detection and data reconciliation have been 
performed. Mill measurements data are collected for 
a chosen period of time. Since measurements 
inherently contain random errors due to sensors 
noise, the mass and balance around unit operations 
often do not balance. Data reconciliation is an 
optimization problem that aims to minimize the 
weighted sum of squared differences between the 
measured and the reconciled values under 
constraints that correspond to mass and heat balance 
(Bagajewicz, 2000); (Leibman et al., 1992); (Maquin 
et al., 2000); (Maquin et al., 1989). On the other 
hand, while DR is meant to correct random errors, 
gross errors due to a sensor failure should be 
detected first (Maronas and Arcas, 2009). This is 
done by verifying that all measurements remain 
within acceptable data range. Many statistical tests 
have been developed. However, they have never 
been applied on a real operating mill (Dewulf et al., 
2008); (Gong and Wall, 1997); (Gong and Wall, 
2001); (Regulagadda et al., 2010); (Sato, 2004). The 
results of the GED and DR show largely adjusted 
areas. This helps identify possible process leaks or 
biases present in the system (Krishnan-Dumitrescu, 
2008). DR allows getting a coherent process model 
that represents a steady-state of the studied mill and 
also identifies a preliminary list of suspected 
problematic unit operations. Largely adjusted areas 
are highlighted for further analysis.  
From the coherent steady-state of the process, 
exergy analysis of individual unit operations and of 
entire departments of the process has been 
performed. Exergy is a measure of both quality and 
quantity of the energy involved in transformations 
within and across the boundaries of a system. Unlike 
energy, exergy can be destroyed or lost, and thus 
unavailable for future transformation with the 
process system. Hence exergy analysis allows 
SystematicEquipmentPerformanceAnalysisofCanadianKraftMillThroughNewandAdaptedKeyPerformance
Indicators-DoctoralConsortiumContributions
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