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146            7. MCDM for sustainability ranking of district heating systems considering uncertainties

                                            7.3 Results and discussion

                 7.3.1 The case of seven DH systems in a city of north China
                   The seven DH systems are planned based on the same DH area in Baoding, a city in the
                                                                            2
                 north of China (Wei et al., 2010). The floor heating area is 251,746m with a design heat load
                 of 16.6MW. Space heating season is 120days a year and the average outdoor air temperature
                 is  1.6°C. The design indoor and outdoor air temperatures are 18°C and  9°C respectively.
                 Assume that all DH systems provide the same DH capacity for this area, and then the
                 properties of economy, environment, and energy for the seven DH systems are shown in
                 Table 7.1 (Wei et al., 2010).
                   There are both quantitative and qualitative criteria in Table 7.1. The uncertainty of eco-
                 nomic indices is assumed as 10% (Hokkanen et al., 2000); because the emission data has large
                 flexibility, so an uncertainty of  20% is used for the environmental criteria. However, for the
                 qualitative (ordinal) energy criteria, the uncertainty will be handed by SMAA-O automati-
                 cally using the Monte Carlo simulation. The uncertainty in weighting is considered by an
                 FWS in this chapter. The FWS is obtained by giving  50% linear constraints using uniform
                 distribution (Wang et al., 2015) to each criterion based on the weight vector elicited by Wei
                 et al. (2010). The FWS can cover more possible preference information, indicated in Fig. 7.5.


                 7.3.2 Results of stochastic multicriteria acceptability analysis

                   The criteria PVs of the seven DH systems in Table 7.1 should be normalized first before
                 being used in SMAA. In this study, we used 100,000 Monte Carlo iterations to calculate
                 the statistic variables in the simulation (Wang et al., 2016), and this will result in error limits

                 TABLE 7.1 Properties of the seven DH systems.
                                  Coal-fired  Gas-fired  Oil-fired  Coal-fired  Solar
                 Criteria         CHP       HOB       HOB      HOB       energy HP  WSHP     GSHP
                 Total cost per floor  26.96  46.85   78.40    32.19     67.88      54.95    62.27
                        2 a
                 area (¥/m )
                        2 b
                 NO x (g/m )      588.0     92.9      116.0    840.0     91.9       78.4     87.8
                        2 b
                 SO 2 (g/m )      179.0     94.0      127.0    255.7     162.0      138.1    154.8
                        2 b
                 CO (g/m )        8.9       1.9       3.5      40.9      1.14       0.85     0.95
                        2 b
                 CO 2 (g/m )      40871     31920     40314    58224     24054      20504    22985
                         2 b
                 Other (g/m )     73.9      27.1      18.1     105.6     22.2       19.0     21.3
                 Technical merits c  Good   Good      Good     Little bad  Neutral  Good     Good
                 Mentality effect c  Better  Good     Good     bad       Good       Good     Good
                 Heating charge c  Better   Neutral   Bad      Better    Bad        Little bad  Neutral
                 a
                  Includes the annuity of initial investment and annual operating cost, ¥ means Chinese currency RMB yuan.
                 b
                  Emission is calculated based on the floor heating area.
                 c
                  These three properties are deemed as qualitative (ordinal) criteria.
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