Robustness of multi-objective optimization of building refurbishment to suboptimal weather data

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Robustness of multi-objective optimization of building refurbishment to suboptimal weather data 3rd International High Performance Buildings Conference at Purdue, July 14-17, 2014 15.07.2014 A. Prada, G. Pernigotto, F. Cappelletti, A. Gasparella, J. L. M. Hensen

Introduction EU Directive 31/2010 Cost optimal EU Directive 31/2010 and Delegated Regulation EU 244/2012: Requisites for new and renovated existing buildings defined as cost-optimal All new buildings n-zeb by 2020 Incentives for renovation of existing into n-zeb Aim

Introduction EU Directive 31/2010 Cost optimal Cost-optimal: Among all possible ESMs, the designer should find those that optimizes some competitive goals, such costs and primary energy (Pareto Front) Multi Objective Optimization. The Cost-optimal is the level of minimum Net Present Value in the Pareto Front. Aim

Introduction EU Directive 31/2010 Cost optimal Aim Aim of the work: Imprecise input data can affect the robustness of the optimization approach and modify the optimal solutions Weather data (Test reference year) should be developed to be representative of the climatic conditions of the location. How much the method for the definition of the TRYs can affect the optimal configurations? The case of Trento (Italy) INPUT DATA Building features Economic data Weather data MULTI-OBJECTIVE OPTIMIZATION OA Optimization Algorithm BES Building Energy Simulation PARETO FRONT Optimal solutions & Cost-optimal

Method Weather data Residential buildings Energy saving measures Multiobjective optimization Weather data: The representativeness of weather inputs is a key aspect to obtain reliable building simulation results and optimization. TRY can be defined according to different methods and depend on the length of the multi-year weather data series. Optimization has been repeated for Trento TRY obtained from data series of different lenghts (from 10 to 5 years) No. years 10 9 8 7 6 5 Reference data for the TRY definition 96-98, 2002-08 96, 97, 2002-08 96, 97, 2002, 2004-08 96, 97, 2002-06 96, 97, 2002, 03, 07, 08 97, 2003-06

Method Weather data Residential buildings Energy saving measures Multiobjective optimization Weather data: The representativeness of weather inputs is a key aspect to obtain reliable building simulation results and optimization. TRY can be defined according to different methods and depend on the length of the multi-year weather data series. Optimization has been repeated for Trento TRY obtained from data series of different lenghts (from 10 to 5 years) No. years 10 9 8 7 6 5 HDD 18 (K d) 2499 2674 2167 2759 2298 2657 HDD 18 (%) -0.40 6.58-13.63 9.96-8.41 5.90 2509 Daily I sol 7.98 7.49 6.15 7.09 6.51 7.70 (MJ m -2 ) (%) 7,16 11.5 4.7-14.0-0.8-9.0 17.0

Method Weather data Residential buildings Reference starting configuration (100 m 2,3 m height): Three typologies: semi-detached house (S/V = 0.97 m -1 ), penthouse (S/V = 0.63 m -1 ) and intermediate flat in multi-story buildings (S/V = 0.3 m -1 ). The considered configurations have windows only in one façade (east or south). Features typical till the 70s. Energy saving measures Multiobjective optimization Opaque Envelope d (m) 0.20 λ (W m -1 K -1 ) 0.25 R (m 2 K W -1 ) 0.80 κ (kj m -2 K -1 ) 150 ρ (kg m -3 ) 893 c (J kg -1 K -1 ) 840

Method Weather data Residential buildings Reference starting configuration (100 m 2,3 m height): Three typologies: semi-detached house (S/V = 0.97 m -1 ), penthouse (S/V = 0.63 m -1 ) and intermediate flat in multi-story buildings (S/V = 0.3 m -1 ). The considered configurations have windows only in one façade (east or south). Features typical till the 70s. Energy saving measures Multiobjective optimization Windows Glazing: Single-pane U gl (W m -2 K -1 ) 5.69 SHGC 0.81 Frame: Standard Timber U fr (W m -2 K -1 ) 3.20 A f /A win (%) 19.9

Method Weather data Residential buildings Energy saving measures Multiobjective optimization Reference starting configuration (100 m 2,3 m height): Three typologies: semi-detached house (S/V = 0.97 m -1 ), penthouse (S/V = 0.63 m -1 ) and intermediate flat in multi-story buildings (S/V = 0.3 m -1 ). The considered configurations have windows only in one façade (east or south). Features typical of 1970s. A standard boiler coupled with radiators and on-off system regulation Infiltration Rate (ACH) Intermediate flat in multistory 0.06 Semi-detached houses 0.13 Penthouses 0.20

Method Weather data Residential buildings Energy saving measures Multiobjective optimization Energy saving measures to be combined: Additional insulating layer of EPS with thermal conductivity 0.04 W m -1 K -1 (from 1 to 20 cm) on the external surface of: non-adiabatic walls exposed ceiling floor (only for the semi-detached houses); High performance frames and glazings (i.e., double or triple pane with either high or low solar heat gain coefficients); Modulating or condensing boiler, equipped with a climatic adjustment of the supply temperature; Mechanical ventilation with heat recovery system. Prices from regional price list and the national authority of gas and electricity. Investment analysis lifespan 30 years.

Method Weather data Elitist Non-dominated Sorting Genetic Algorithm: with some code customizations regarding sampling, crossover, mutation and selection procedures. Residential buildings Energy saving measures Multiobjective optimization 1. First generation selection by Sobol (n=128 individuals) 2. NPV and primary energy (EPh) evaluation 3. Selection of m dominant solutions (temporary Pareto- Elite) 4. Selection of (n m) couples of parents by Tournament selection without replacement (1 from each 4-plets) 5. New generation by weighting average of parents 6. Mutation on 20 % of the children 7. Step 2 again for the new generation 8. Selection of dominant solutions from the new generation and the previous Elite 9. Again from step 4 on

Results S/V = 0.30 m -1 S/V = 0.63 m -1 S/V = 0.97 m -1 Pareto front: two groups: optimal solutions with mechanical ventilation system (MVS) in the higher-left part of the diagram and those with natural ventilation in the lower-right part. In some cases, Pareto fronts for different TRY intersect each other. NPV [k ] 35 30 25 20 East NPV [k ] 35 30 25 20 South 15 15 10 10 0 5 10 15 20 25 30 35 40 45 50 55 60 65 0 5 10 15 20 25 30 35 40 EPh [kwh m -2 a -1 ] EPh [kwh m -2 a -1 ]

Results S/V = 0.30 m -1 S/V = 0.63 m -1 S/V = 0.97 m -1 Pareto front: two groups: optimal solutions with mechanical ventilation system (MVS) in the higher-left part of the diagram and those with natural ventilation in the lower-right part. In some cases, Pareto fronts for different TRY intersect each other. NPV [k ] 45 40 35 30 East NPV [k ] 45 40 35 30 South 25 25 20 20 0 5 10 15 20 25 30 35 40 45 50 55 60 65 0 5 10 15 20 25 30 35 40 EPh [kwh m -2 a -1 ] EPh [kwh m -2 a -1 ]

Results S/V = 0.30 m -1 S/V = 0.63 m -1 Pareto front: two groups: optimal solutions with mechanical ventilation system (MVS) in the higher-left part of the diagram and those with natural ventilation in the lower-right part. In some cases, Pareto fronts for different TRY intersect each other. 50 East 50 South S/V = 0.97 m -1 NPV [k ] 45 40 NPV [k ] 45 40 35 35 30 30 0 5 10 15 20 25 30 35 40 45 50 55 60 65 0 5 10 15 20 25 30 35 40 EPh [kwh m -2 a -1 ] EPh [kwh m -2 a -1 ]

Results Optimal solutions in reducing NPV East windows orientation South windows orientation Insulation thickness [cm] Insulation thickness [cm] Win Boiler Ven Wall Roof Floor Wall Roof Floor Win Boiler Ven Intermediate flat in multi-story buildings S/V = 0.30 m -1 10 yr 19 DH Std Nat 17 DH Std Nat 9 yr 18 DH Std Nat 18 DH Std Nat 8 yr 18 DH Std Nat 12 DH Std Nat 7 yr 18 DH Std Nat 18 DH Std Nat 6 yr 17 DH Std Nat 13 DH Std Nat 5 yr 18 DH Std Nat 17 DH Std Nat Penthouse S/V = 0.63 m -1 10 yr 18 17 DH Cond Nat 17 15 DH Std Nat 9 yr 18 17 DH Cond Nat 19 15 DH Std Nat 8 yr 18 17 DH Mod Nat 19 15 DH Std Nat 7 yr 16 15 DH Cond Nat 17 16 DH Std Nat 6 yr 17 16 DH Mod Nat 16 16 DH Std Nat 5 yr 18 18 DH Cond Nat 16 17 DH Std Nat Semi-detached houses S/V = 0.97 m -1 10 yr 19 19 18 DH Mod Nat 17 18 17 DH Mod Nat 9 yr 16 17 17 DH Cond Nat 17 17 17 DH Mod Nat 8 yr 16 15 16 DH Cond Nat 17 16 17 DH Mod Nat 7 yr 18 18 17 TH Mod Nat 18 17 17 DH Mod Nat 6 yr 17 17 15 DH Cond Nat 17 17 17 DH Mod Nat 5 yr 17 18 17 DH Mod Nat 18 16 18 DH Mod Nat

Results Optimal solutions in reducing EP h East windows orientation South windows orientation Insulation thickness [cm] Insulation thickness [cm] Win Boiler Ven Wall Roof Floor Wall Roof Floor Win Boiler Ven Intermediate flat in multi-story buildings S/V = 0.30 m -1 10 yr 20 TH Cond MVS 13 TH Cond MVS 9 yr 20 TH Std MVS 13 TH Std MVS 8 yr 20 TH Std MVS 13 TH Std MVS 7 yr 20 TH Cond MVS 15 TL Cond MVS 6 yr 20 TH Cond MVS 20 TL Cond MVS 5 yr 20 TH Cond MVS 19 TL Cond MVS Penthouse S/V = 0.63 m -1 10 yr 20 19 TH Cond MVS 20 20 TH Cond MVS 9 yr 19 19 TH Cond MVS 20 20 TH Mod MVS 8 yr 20 20 TH Cond MVS 20 20 TH Cond MVS 7 yr 20 19 TH Cond MVS 20 20 TH Cond MVS 6 yr 19 19 TH Cond MVS 20 20 TH Cond MVS 5 yr 19 19 TH Cond MVS 20 20 TH Cond MVS Semi-detached houses S/V = 0.97 m -1 10 yr 20 20 20 TH Cond MVS 19 19 18 TH Cond MVS 9 yr 18 18 19 TH Cond MVS 19 19 19 TH Cond MVS 8 yr 19 19 20 TH Cond MVS 19 20 19 TH Cond MVS 7 yr 19 20 19 TH Cond MVS 19 19 19 TH Cond MVS 6 yr 19 19 19 TH Cond MVS 19 19 20 TH Cond MVS 5 yr 18 20 19 TH Cond MVS 19 19 19 TH Cond MVS

Overview Outcomes Overview: the effects of insufficiently long historic weather series in the TRY definition have been assessed the robustness of a genetic algorithm, the Elitist Nondominated Sorting Genetic Algorithm, in multi-objective optimizations for building energy refurbishment to suboptimal TRY has been considered the optimal retrofit solutions for six reference buildings have been determined and compared for TRYs obtained from weather series of different lenghts for Trento

Overview Outcomes Outcomes: Pareto fronts, in some cases, lead to different optimal values and to different optimal configurations: (a) minimum NPV is sensitive to the TRY especially for East orientation and larger S/V (b) minimum Eph increases with S/V and is sensitive to TRY, more for East and larger S/V As for the optimal ESMs configurations: the insulation level and the boiler replacement have the largest variability, especially for NPV optimization the selection of the best solution for window substitution is more robust to the weather inputs as regards the ventilation, there is no sensitivity at all for the considered buildings

THANK YOU FOR YOUR ATTENTION! andrea.gasparella@unibz.it Building Physics Group of the Free University of Bozen-Bolzano