Second law analysis and simulation techniques for the energy optimization of buildings

The research activity described in this thesis is focused mainly on the study of finite-element techniques applied to thermo-fluid dynamic problems of plant components and on the study of dynamic simulation techniques applied to integrated building design in order to enhance the energy performance of the building. The first part of this doctorate thesis is a broad dissertation on second law analysis of thermodynamic processes with the purpose of including the issue of the energy efficiency of buildings within a wider cultural context which is usually not considered by professionals in the energy sector. In particular, the first chapter includes, a rigorous scheme for the deduction of the expressions for molar exergy and molar flow exergy of pure chemical fuels. The study shows that molar exergy and molar flow exergy coincide when the temperature and pressure of the fuel are equal to those of the environment in which the combustion reaction takes place. A simple method to determine the Gibbs free energy for non-standard values of the temperature and pressure of the environment is then clarified. For hydrogen, carbon dioxide, and several hydrocarbons, the dependence of the molar exergy on the temperature and relative humidity of the environment is reported, together with an evaluation of molar exergy and molar flow exergy when the temperature and pressure of the fuel are different from those of the environment. As an application of second law analysis, a comparison of the thermodynamic efficiency of a condensing boiler and of a heat pump is also reported. The second chapter presents a study of borehole heat exchangers, that is, a polyethylene piping network buried in the soil which allows a ground-coupled heat pump to exchange heat with the ground. After a brief overview of low-enthalpy geothermal plants, an apparatus designed and assembled by the author to carry out thermal response tests is presented. Data obtained by means of in situ thermal response tests are reported and evaluated by means of a finite-element simulation method, implemented through the software package COMSOL Multyphysics. The simulation method allows the determination of the precise value of the effective thermal properties of the ground and of the grout, which are essential for the design of borehole heat exchangers. In addition to the study of a single plant component, namely the borehole heat exchanger, in the third chapter is presented a thorough process for the plant design of a zero carbon building complex. The plant is composed of: 1) a ground-coupled heat pump system for space heating and cooling, with electricity supplied by photovoltaic solar collectors; 2) air dehumidifiers; 3) thermal solar collectors to match 70% of domestic hot water energy use, and a wood pellet boiler for the remaining domestic hot water energy use and for exceptional winter peaks. This chapter includes the design methodology adopted: 1) dynamic simulation of the building complex with the software package TRNSYS for evaluating the energy requirements of the building complex; 2) ground-coupled heat pumps modelled by means of TRNSYS; and 3) evaluation of the total length of the borehole heat exchanger by an iterative method developed by the author. An economic feasibility and an exergy analysis of the proposed plant, compared with two other plants, are reported. The exergy analysis was performed by considering the embodied energy of the components of each plant and the exergy loss during the functioning of the plants.

Longitudinal prediction of the operational energy use of buildings

Thus far most studies of operational energy use of buildings fail to take a longitudinal view, or in other words, do not take into account how operational energy use changes during the lifetime of a building. However, such a view is important when predicting the impact of climate change, or for long term energy accounting purposes. This article presents an approach to deliver a longitudinal prediction of operational energy use. The work is based on the review of deterioration in thermal performance, building maintenance effects, and future climate change. The key issues are to estimate the service life expectancy and thermal performance degradation of building components while building maintenance and changing weather conditions are considered at the same time. Two examples are presented to demonstrate the application of the deterministic and stochastic approaches, respectively. The work concludes that longitudinal prediction of operational energy use is feasible, but the prediction will depend largely on the availability of extensive and reliable monitoring data. This premise is not met in most current buildings. © 2011 Elsevier Ltd.

Energy use of buildings at urban scale: A case study of london school buildings

The diversity of non-domestic buildings at urban scale poses a number of difficulties to develop building stock models. This research proposes an engineering-based bottom-up stock model in a probabilistic manner to address these issues. School buildings are used for illustrating the application of this probabilistic method. Two sampling-based global sensitivity methods are used to identify key factors affecting building energy performance. The sensitivity analysis methods can also create statistical regression models for inverse analysis, which are used to estimate input information for building stock energy models. The effects of different energy saving measures are analysed by changing these building stock input distributions.

A conceptual framework for future-proofing the energy performance of buildings

This paper presents a review undertaken to understand the concept of 'future-proofing' the energy performance of buildings. The long lifecycles of the building stock, the impacts of climate change and the requirements for low carbon development underline the need for long-term thinking from the early design stages. 'Future-proofing' is an emerging research agenda with currently no widely accepted definition amongst scholars and building professionals. In this paper, it refers to design processes that accommodate explicitly full lifecycle perspectives and energy trends and drivers by at least 2050, when selecting energy efficient measures and low carbon technologies. A knowledge map is introduced, which explores the key axes (or attributes) for achieving a 'future-proofed' energy design; namely, coverage of sustainability issues, lifecycle thinking, and accommodating risks and uncertainties that affect the energy consumption. It is concluded that further research is needed so that established building energy assessment methods are refined to better incorporate future-proofing. The study follows an interdisciplinary approach and is targeted at design teams with aspirations to achieve resilient and flexible low-energy buildings over the long-term. © 2012 Elsevier Ltd.

Infrared termography application in energy audits of buildings

The main objectives of this research are (i) to determine the correct use of infrared thermography in the energy analysis of buildings and to verify its application in conducting energy audits thereof; (ii) to conduct a proposal for a standard methodology (with its corresponding final report) for energy audit of buildings based on currently applicable regulations, specifying the parts of the audit process where the authors propose to include thermal inspections by using infrared thermography.

The Energy Performance of Buildings: Promises Still Unfulfilled. Egmont Paper No. 78, May 2015

EXECUTIVE SUMMARY All observers agree that energy efficiency must be the cornerstone of any serious EU energy strategy. In this general context, the EU building sector is critical. It represents about 40% of EU final energy consumption (residential houses, public/private offices, commercial buildings, etc.) and approximately 36% of EU CO2 emissions. This is massive. The EU has certainly not been inactive in this field. The Energy Performance in Buildings Directive 2002/91/EC (EPBD) was the first and the main instrument to address the problem of the energy performance of buildings. It has established numerous principles: a reliable methodology which enables the calculation and rating of the energy performance of buildings; minimum energy performance standards for new buildings and existing buildings under major renovation; energy performance certificates; regular inspection of heating and air-conditioning systems; and, finally, quality standards for inspections and energy performance certificates. They were strengthened in 2010 by the recast Directive 2010/31/EU. This directive also introduces a decisive concept for the development of the building sector: ‘nearly zeroenergy buildings’. In 2012, the new Energy Efficiency Directive 2012/27/EU dealt with other aspects. In the building sector, three of them are particularly important. They concern: (1) the establishment of long-term strategies for mobilizing investment in the renovation of the national building stocks; (2) the introduction of energy saving schemes for ‘designated’ energy companies with a view to reducing consumption among ‘final consumers’ by 1.5% annually; and (3), as an option, the setting up of an Energy Efficiency National Fund to support energy efficiency initiatives. This paper also briefly examines the different instruments put in place to disseminate information and consultation, and the EU funding for energy efficiency in buildings. Results, however, have remained limited until now. The improvement of the energy performance of buildings and the rhythm of renovation remain extremely weak. Member States’ unwillingness to timely and properly transpose and implement the Directives continues despite the high degree of flexibility permitted. The decentralized approach chosen for some specific aspects and the differentiation in the application of EPBD standards between Member States do not appear optimal either. Adequate financial schemes remain rare. The permanent deficit of qualified and trained personnel and the inertia of public authorities to make the public understand the stakes in this domain remain problematic. Hence the need to take new initiatives to reap the benefits that the building sector is meant to bring.

Impacte da nova regulamentação na certificação energética de edifícios

Dissertação de Mestrado, Engenharia Civil, Especialização em Construção, Instituto Superior de Engenharia, Universidade do Algarve, 2016

HeatWave : a handheld 3D thermography system for energy auditing

Energy auditing is an effective but costly approach for reducing the long-term energy consumption of buildings. When well-executed, energy loss can be quickly identified in the building structure and its subsystems. This then presents opportunities for improving energy efficiency. We present a low-cost, portable technology called "HeatWave" which allows non-experts to generate detailed 3D surface temperature models for energy auditing. This handheld 3D thermography system consists of two commercially available imaging sensors and a set of software algorithms which can be run on a laptop. The 3D model can be visualized in real-time by the operator so that they can monitor their degree of coverage as the sensors are used to capture data. In addition, results can be analyzed offline using the proposed "Spectra" multispectral visualization toolbox. The presence of surface temperature data in the generated 3D model enables the operator to easily identify and measure thermal irregularities such as thermal bridges, insulation leaks, moisture build-up and HVAC faults. Moreover, 3D models generated from subsequent audits of the same environment can be automatically compared to detect temporal changes in conditions and energy use over time.

Characterising the energy performance of centralised HVAC&R systems in the UK

Heating, ventilation, air conditioning and refrigeration (HVAC&R) systems account for more than 60% of the energy consumption of buildings in the UK. However, the effect of the variety of HVAC&R systems on building energy performance has not yet been taken into account within the existing building energy benchmarks. In addition, the existing building energy benchmarks are not able to assist decision-makers with HVAC&R system selection. This study attempts to overcome these two deficiencies through the performance characterisation of 36 HVAC&R systems based on the simultaneous dynamic simulation of a building and a variety of HVAC&R systems using TRNSYS software. To characterise the performance of HVAC&R systems, four criteria are considered; energy consumption, CO2 emissions, thermal comfort and indoor air quality. The results of the simulations show that, all the studied systems are able to provide an acceptable level of indoor air quality and thermal comfort. However, the energy consumption and amount of CO2 emissions vary. One of the significant outcomes of this study reveals that combined heating, cooling and power systems (CCHP) have the highest energy consumption with the lowest energy related CO2 emissions among the studied HVAC&R systems.

Integral energy behaviour of photovoltaic semi-transparent glazing elements for building integration

La hipótesis general que esta tesis quiere demostrar es que la integración arquitectónica de sistemas fotovoltaicos semitransparentes (STPV) puede contribuir a mejorar la eficiencia energética de los edificios. Por lo tanto, la investigación se centra en el desarrollo de una metodología capaz de cuantificar la reducción de la demanda energética del edificio proporcionada por estas novedosas soluciones constructivas. Al mismo tiempo, los parámetros de diseño de las soluciones STPV se han analizado para establecer cuales presentan el mayor impacto sobre el balance energético global del edificio y por lo tanto tienen que ser cuidadosamente definidos a la hora de optimizar el comportamiento energético del mismo. A la luz de estos objetivos, la metodología de estudio se ha centrado en tres puntos principales:  Caracterizar el comportamiento energético global de sistemas STPV en condiciones de operación realistas, similares a las que se darían en un sistema real;  Caracterizar el comportamiento energético global de sistemas STPV en condiciones controladas, con el objetivo de estudiar la variación del comportamiento del los elementos en función de parámetro de diseño y operación;  Evaluar el potencial de ahorro energético global de los sistemas STPV en comparación con soluciones acristaladas convencionales al variar de las condiciones de contorno constituidas por los parámetros de diseño (como el grado de transparencia), las características arquitectónicas (como el ratio entre superficie acristalada y superficie opaca en la fachada del edificio) y las condiciones climáticas (cubriendo en particular la climatología europea). En síntesis, este trabajo intenta contribuir a comprender la interacción que existe entre los sistemas STPV y el edificio, proporcionando tanto a los fabricantes de los componentes como a los profesionales de la construcción información valiosa sobre el potencial de ahorro energético asociado a estos nuevos sistemas constructivos. Asimismo el estudio define los parámetros de diseño adecuados para lograr soluciones eficientes tanto en proyectos nuevos como de rehabilitación. ABSTRACT The general hypothesis this work seeks to demonstrate is that the architectural integration of Semi-Transparent Photovoltaic (STPV) systems can contribute to improving the energy efficiency of buildings. Accordingly, the research has focused on developing a methodology able to quantify the building energy demand reduction provided by these novel constructive solutions. At the same time, the design parameters of the STPV solution have been analysed to establish which of them have the greatest impact on the global energy balance of the building, and therefore which have to be carefully defined in order to optimize the building operation. In the light of these goals, the study methodology has focused on three main points:  To characterise the global energy behaviour of STPV systems in realistic operating conditions, similar to those in which a real system will operate;  To characterise the global energy behaviour of STPV systems in controlled conditions in order to study how the performance varies depending on the design and operating parameters;  To assess the global energy saving potential of STPV systems in comparison with conventional glazing solutions by varying the boundary conditions, including design parameters (such as the degree of transparency), architectural characteristics (such as the Window to Wall Ratio) and climatic conditions (covering the European climatic conditions). In summary, this work has sought to contribute to the understanding of the interaction between STPV systems and the building, providing both components manufacturers and construction technicians, valuable information on the energy savings potential of these new construction systems and defining the appropriate design parameters to achieve efficient solutions in both new and retrofitting projects.

Influência dos equipamentos de aquecimento, arrefecimento e AQS na certificação energética de edifícios

Na União Europeia os sectores dos transportes e da indústria são ambos grandes consumidores de energia, mas são os edifícios residenciais e de serviços onde o consumo energético é maior, e em 2005, segundo a EnerBuilding, representavam cerca de 17% dos consumos de energia primária em termos nacionais. A energia gasta com a iluminação, o aquecimento, o arrefecimento e AQS das habitações, locais de trabalho e locais de lazer é superior à consumida pelos sectores dos transportes e da indústria. As habitações representam dois terços do consumo total de energia dos edifícios europeus, o qual aumenta todos os anos com a melhoria da qualidade de vida, traduzindo-se numa maior utilização dos sistemas de climatização. Neste sentido, e de acordo com o decreto-lei que transpõe para a legislação portuguesa a diretiva comunitária relativa ao desempenho energético dos edifícios, todos os Estados da União Europeia devem ter um sistema de certificação energética para informar o cidadão sobre a qualidade térmica dos edifícios, aquando da construção, da venda ou do arrendamento. Assim, entrou em vigor em Portugal, desde 1 de Janeiro de 2009, a obrigatoriedade de apresentação de um certificado de eficiência energética, no ato de compra, venda ou aluguer de edifícios novos e existentes. A certificação energética permite assim aos futuros utilizadores dos edifícios obter informação sobre os potenciais consumos de energia, no caso dos novos edifícios ou no caso de edifícios existentes sujeitos a grandes intervenções de reabilitação, dos seus consumos reais ou aferidos para padrões de utilização típicos, passando o consumo energético a integrar um conjunto dos aspetos importantes para a caracterização de qualquer edifício. Em edifícios de serviços, o certificado energético assegura aos utentes do edifício ou da fração que este reúne condições para garantir a eficiência energética e a adequada qualidade do ar interior. Uma vez que passamos 80% do nosso tempo em edifícios, e que isto se reflete num consumo cada vez mais elevado do sector residencial e dos serviços no consumo total energético do país, este trabalho pretende fazer a comparação dos vários equipamentos de aquecimento, de arrefecimento e de AQS e qual a influência dos mesmos na certificação energética de edifícios, e consequentemente na eficiência dos mesmos, sendo que a eficiência e a certificação energética de um edifício deve ser um aspeto relevante a levar em consideração no momento do planeamento ou da construção, bem como na aquisição de uma nova habitação. Um projeto concebido de modo a tirar proveito das condições climáticas, da orientação solar, dos ventos dominantes e utilizadas técnicas construtivas e os materiais adequados, é possível reduzir os gastos energéticos com a iluminação ou os sistemas de climatização.

Reabilitação energética de edifícios

A reabilitação é uma intervenção que confere ao edifício uma qualidade superior à que possuía aquando da sua construção. Desta forma, e com a entrada em vigor em final de 2013 da nova legislação referente à certificação energética dos edifícios, surge novamente o interesse na temática de reabilitar energeticamente o parque habitacional. Esta nova legislação aparece na sequencia das novas exigências da Comissão Europeia e do Parlamento Europeu face às alterações climáticas e consequentemente, em relação à eficiência energética. A reabilitação energética de edifícios, visa principalmente a melhoria das condições de conforto térmico, a redução dos consumos energéticos com aquecimento, arrefecimento e as águas quentes sanitárias. Tais melhorias são alcançáveis com intervenções que se foquem na envolvente dos edifícios, com a aplicação de sistemas de alta eficiência para o aquecimento, arrefecimento, iluminação e águas quentes sanitárias e com a integração de fontes de energias renováveis. Assim é possível alcançar edifícios com necessidades nulas ou quase nulas de energia, tal como exigem as metas impostas a nível europeu.

Análise do desempenho energético de edificações: aplicação analítica do RTQ-C no Edifício do Ceamazon

Um dos grandes entraves para o desenvolvimento econômico mundial é a crescente demanda por energia e consequente aumento da utilização de recursos naturais para provê-la. Países em desenvolvimento, como o Brasil, apresentaram progressivo consumo de energia per capita nos últimos anos. Embora a sua maioria seja proveniente de usinas hidrelétricas (fontes não poluidoras) sua construção causa grande impacto ambiental. De todo o percentual energético gerado, as edificações são responsáveis pelo consumo de aproximadamente 40% e este percentual tende a aumentar mediante o crescimento da construção civil no país. Diante da problemática, o combate ao desperdício, a racionalização e o uso sustentável da energia consumida pelas edificações estão diretamente ligados à redução do impacto ao meio ambiente, postergando a necessidade de aumento da matriz energética nacional. Neste contexto é criado o Regulamento Técnico da Qualidade do Nível de Eficiência Energética de Edifícios Comerciais, de Serviço e Públicos (RTQ-C). Este trabalho consiste em uma aplicação crítica do RTQ-C utilizando a metodologia prescritiva, tendo como enfoque aspectos relativos a sua aplicabilidade e avaliação de conforto térmico e lumínico, tendo como premissa que o alto desempenho energético da edificação só é plenamente alcançado quando são garantidas condições satisfatórias de conforto ambiental aos usuários. Para tanto foi necessária uma etapa minuciosa de levantamento de dados e medições “in loco” de temperatura do ar, temperatura radiante, iluminância e umidade relativa em dois ambientes (laboratório de conforto e sala de aula 2) do edifício do Centro de Excelência em Eficiência Energética da Amazônia - CEAMAZON, subsidiando a utilização da metodologia proposta por Fanger (PMV e PPD), e verificação dos níveis de iluminância propostos pela NBR 5413. Como resultado a edificação apresentou bom desempenho, mas a não observância dos prérequisitos a classificou com nível “C”. A avaliação de conforto indicou que aproximadamente 23% dos usuários não estavam em conforto térmico e que a ventilação natural poderá ser utilizada como estratégia bioclimática para adequação. As medições de iluminância indicaram que apenas a sala de aula 2 possuia potencial de aproveitamento de iluminação natural no período da medição. Concluiu-se que, apesar de sua importância, o RTQ-C deve passar ainda por um processo de adaptação por parte da sociedade e dos profissionais envolvidos na certificação energética de edificações e que durante esse período modificações poderão ser incorporadas contribuindo para torná-lo um instrumento efetivamente válido para a garantia da eficiência energética das edificações do país.

Aplicación de los documentos reconocidos de evaluación de la demanda y certificación energética en España, para el diseño y análisis de tejidos urbanos : el caso de la intervención en barrios partiendo de criterios acústicos

El presente trabajo, trata del ahorro de energía en la edificación y en el urbanismo. Las premisas en este caso, son un contexto normativo europeo y nacional muy exigentes y encaminados de manera decidida hacia edificios cada vez más eficientes y económicos. Se centra el estudio en las decisiones iniciales que se adoptan sobre las condiciones de ocupación de la parcela urbana, las tipologías edificatorias más adecuadas, su morfología y escala y las consecuencias que tienen para el comportamiento energético final, tanto en términos objetivos como normativos. Se trata de cuantificar que suponen estas decisiones en términos de ahorro energético. Todo el análisis se realiza para un contexto climático concreto, el de la ciudad de Madrid. Para los análisis de las diferentes condiciones de implantación objeto del estudio, se han empleado unas herramientas informáticas singulares. Se trata de los programas de evaluación de la demanda y certificación energética de edificios, que el gobierno español pone a disposición de los usuarios de manera gratuita. Estas, son aplicaciones pensadas para la escala del edificio y/o parte de él, pero que con la metodología y simplificaciones que en el trabajo se detallan, pueden ser empleadas en la escala media de intervención urbana, tanto en nueva implantación como en rehabilitación. Hay que tener en cuenta que son estas aplicaciones las que se utilizarán en la mayoría de los casos como instrumento de evaluación y calificación del comportamiento energético de cada una de las unidades. Las tipologías objeto del estudio son: - Vivienda unifamiliar: aislada, pareada y adosada en hilera. - Bloque abierto - Bloque en H - Bloque en cruz - Torre - Manzana cerrada El contenido principal del trabajo se centra en el análisis individual de cada tipología y de su agrupación teórica sobre lo que podíamos llamar "unidad urbana", una manzana tipo de 10.000 m2, 1 ha. Se opta por esta unidad por tratarse de una superficie urbana lo suficientemente amplia para caracterizar la agrupación de las diferentes tipologías estudiadas y por adaptarse a las capacidades de las herramientas informáticas que se han utilizado. Se han analizado diferentes opciones tipológicas de ocupación, manteniendo constantes en todas las soluciones estudiadas, los siguientes parámetros: • el clima (Madrid), • la edificabilidad (en todas menos una en la que el modelo no permite alcanzar la edificabilidad de referencia), • la pureza formal del modelo, evitando los juegos compositivos de retranqueos y salientes de la envolvente que distorsionen el comportamiento de la volumetría primaria, • las soluciones constructivas de la envolvente y particiones interiores de los edificios, • las proporciones de huecos en la envolvente, • las soluciones de sus carpinterías y vidrios • y todas las condiciones operacionales que aplica el programa de simulación. Esta tesis, es un estudio analítico y evaluado, del comportamiento de cada uno de los tipos, su forma y posicionamiento en el espacio. Cada uno de los modelos se simula de manera individual y agrupados, con el fin de conseguir colmatar la edificabilidad de referencia sobre la parcela urbana de 1 ha. Todos los resultados se estudian de forma independiente y los resultados se expresan en diferentes tablas y un resumen en fichas individuales por tipos. La conclusión principal del trabajo es que la tipología elegida como contenedor residencial urbano determina en su elección acertada la primera medida de ahorro energético y reducción de emisiones cuantificables en más del 50% entre las tipologías más favorables y las más desfavorables. Una segunda parte del trabajo de investigación, consiste en la aplicación de esta metodología de simulación y empleando las mismas herramientas, en el estudio de casos reales en la comunidad de Madrid (principalmente en la ciudad de Madrid). El objetivo es validar el procedimiento y dichas herramientas, también para el caso de evaluación de tejidos urbanos consolidados. Como caso singular de estudio de rehabilitación urbana, se analizan las intervenciones de rehabilitación partiendo de criterios acústicos y las oportunidades que plantearía la inclusión de criterios térmicos aprovechando la sinergia entre ambas demandas, la de confort acústico y térmico. ABSTRACT This PhD work is about saving energy in buildings and urban planning. The premises in this case are a very demanding European and national policy, aimed decisively towards efficient and economic buildings. The study focuses on the initial decisions taken on the conditions of occupation of urban land, the most suitable building types, their morphology and scale and the implications for the final energy performance, always considering policy objectives. This essay tries to quantify how important this decisions are in energy savings terms. All analysis are performed for a particular climatic context, the city of Madrid. For the analysis of different implantation conditions under study, we have used a unique software tool. This software, a free tool available online, quantifies demand assessment and energy certification of buildings. It is designed for building scale and / or part of it. With the methodology and simplifications detailed in this paper, the software can be used in medium scale urban intervention. There are different types under study such as, isolated house, semi-detached, terraces row, open block, h block, cross block, tower, etc. The main content of the work focuses on the individual analysis of each type and its theoretical group, named urban unit group. This unit is chosen because it is an urban area large enough to characterize the grouping of the different types studied. It is also possible to simulate with the software tools. Different options of typological occupation have been analyzed taking in consideration the next parameters: climate, floor area, model formal purity, building envelope solutions and interior partitions of buildings, the proportions of voids in the facades. This thesis is an analytical and evaluated study of the behavior of each types, form and position in space. Each of the models is simulated individually and grouped, in order to get the reference buildable urban plot of 1 ha. All results are studied independently and the results are expressed in different tables and a summary in individual files by type. The main conclusion of the study is that the type chosen as urban residential container you choose determines the first step in successful energy savings and quantifiable reduction of emissions by more than 50% in the most favorable and the most unfavorable types. A second part of the research, is the application of this methodology and simulation using the same tools in the study of real cases in the community of Madrid (mainly in the city of Madrid). The aim is to validate the procedure and such tools, also for the case of evaluation of consolidated urban fabric. As a unique case study of urban renewal, rehabilitation interventions based on acoustic criteria and opportunities arise thermal criteria including leveraging the synergy between the two demands, acoustic and thermal comfort are analyzed.