Energy and Cost Associated with Ventilating Office Buildings in a Tropical Climate

Providing sufficient amounts of outdoor air to occupants is a critical building function for supporting occupant health, well-being and productivity. In tropical climates, high ventilation rates require substantial amounts of energy to cool and dehumidify supply air. This study evaluates the energy consumption and associated cost for thermally conditioning outdoor air provided for building ventilation in tropical climates, considering Singapore as an example locale. We investigated the influence on energy consumption and cost of the following factors: outdoor air temperature and humidity, ventilation rate (L/s per person), indoor air temperature and humidity, air conditioning system coefficient of performance (COP), and cost of electricity. Results show that dehumidification of outdoor air accounts for more than 80% of the energy needed for building ventilation in Singapore’s tropical climate. Improved system performance and/or a small increase in the indoor temperature set point would permit relatively large ventilation rates (such as 25 L/s per person) at modest or no cost increment. Overall, even in a thermally demanding tropical climate, the energy cost associated with increasing ventilation rate up to 25 L/s per person is less than 1% of the wages of an office worker in an advanced economy like Singapore’s. This result implies that the benefits of increasing outdoor air ventilation rate up to 25 L/s per person — which is suggested to provide for productivity increases, lower sick building syndrome symptom prevalence, and reduced sick leave — can be much larger than the incremental cost of ventilation.


Introduction
Ventilation is important for the health, well-being and productivity of building occupants [1][2][3]. Outdoor ventilation air is supplied to dilute contaminants of indoor origin and to replace the air exhausted from a building. If conditions in outdoor air are not suitable for human thermal comfort needs, then energy must be expended to alter the temperature and/or humidity of the ventilation air. In a tropical climate, energy requirements for thermal conditioning of ventilation air are potentially high. However, ventilation rates that are too low can cause increased considers the fundamental aspects of energy consumption and cost associated with particular building ventilation rates.

Methods
This study calculates energy consumption rates (sensible and latent energy, in kWh/y per person) associated with a range of ventilation rates. The energy consumption for outdoor air ventilation was calculated as a function of the following variables: ventilation rate (L/s per person), indoor dry-bulb set-point temperature and relative humidity (RH), and air conditioning system coefficient of performance (COP). The metric of ventilation rate per person is widely used as a design criterion in the HVAC industry for performance-based building standards and codes.
The calculation is carried out for the specific climatic conditions in Singapore. The evaluation is performed for a whole year assuming constant air flow rate during typical operating hours (M-F 7 am to 7 pm) for office buildings in Singapore [36]. In this section, the outdoor weather and building conditions in the analytical model are presented, followed by a description of the calculation procedure. Subsequently, the interpretations of building ventilation energy consumption along with assumptions for the analysis are discussed.

Outdoor weather data and input parameters
Annual hourly weather data for Singapore were retrieved from the Southwest Pacific WMO Region 5 of the IWEC (International Weather for Energy Calculations). The weather data set was derived from up to 18 years of hourly weather data originally archived at the US National Climatic Data Center [37]. Fig 1 shows annual patterns of temperature, humidity mass ratio, and specific enthalpy for outdoor air in Singapore. The hourly outdoor temperature ranges from 21.0°C to 33.8°C for the year with a mean of 28.7°C. The humidity mass ratio varies from 0.012 to 0.024 kg of water vapor per kg of dry air with a mean of 0.019 kg w /kg da . The resulting specific enthalpy of outdoor air (as computed from the equation in Table 1) ranges between 61 and 91 kJ/kg da with a mean of 77 kJ/kg da . Comparing outdoor conditions for the building operating hours (7 am to 7 pm) to the entire 24-h period, the outdoor dry-bulb temperature is slightly higher (~1.3°C) for the building operating hours, while the differences in humidity ratio and enthalpy are small (< 2%).

Calculating ventilation energy use and associated cost
Using the outdoor data, several psychrometric parameters (Table 1) were calculated to determine the amount of energy necessary for conditioning outdoor ventilation air to the indoor set-point temperature and relative humidity. Those parameters include the specific enthalpy of moist air and the sensible energy and latent energy needed to condition outdoor ventilation air. The specific enthalpy of moist air (h, kJ/kg da ) was calculated based on the specific heat of dry air and water vapor along with the enthalpy change attributable to water vaporization. The cooling process is analyzed separately for sensible and latent energy. Hourly sensible energy was estimated considering specific heat of moist air and the indoor-outdoor temperature change. Hourly latent energy was calculated based on the difference between the indoor and outdoor humidity ratios and the enthalpy change due to water vaporization. The calculations considered ventilation rates ranging from 10 L/s per person to 40 L/s per person. The lower end of this range represents the minimum ventilation requirements for ASHRAE 62.1-2013 for an office with an occupant density of 25 m 2 per person [17], whereas the higher ventilation rates (> 25 L/s per person) correspond to levels that have been found to be associated with lower building-related symptoms and improved worker productivity [1-2, 6-8, 39]. We considered these ranges of indoor set-point conditions: temperature = 22-28°C and RH = 20-80%. In principle, significant energy savings can be realized in tropical climates by increasing the set-point temperature and by using enhanced air movement to provide augmented cooling [41][42][43][44][45]. On this basis, and to consider the potential for pursuing energy efficiency goals with higher than normal set points, a wide range of indoor temperature and RH values were considered.
The psychrometric parameters in Table 1 were calculated on an hourly basis using both indoor set points (fixed) and outdoor conditions (time varying). Based on the indoor-outdoor enthalpy difference of air along with the specified ventilation rate (L/s per person), annual ventilation-specific energy use was calculated in units of kWh/y per person. Considering the variation in the air-conditioning system efficiency, coefficient-of-performance (COP) values were considered across the range of 2 to 6. Modern system equipment can attain a COP higher than 4, while the value for inefficient systems is typically 2 to 3. The operating cost for treating ventilation air also depends on the cost of electricity; we assumed values in the range US$0.20/ kWh-$0.40/kWh. The COP and electricity prices are consistent with current and expected future values for Singapore [46,47].

Assumptions and interpretation
The present study evaluates the energy required for thermally conditioning outdoor ventilation air. Ventilation-specific energy consumption needed to bring the outdoor air to the set-point temperature and humidity conditions was estimated so as to obtain results that are independent of specific building features or mechanical system characteristics. The calculation of where W = humidity ratio, kg w /kg da ; C pa = specific heat of dry air, 1.006 kJ/(kgÁK); C pw = specific heat of water vapor, 1.86 kJ/(kgÁK); h fg = enthalpy change due to water vaporization, 2500 kJ/kg water (approximate heat content of 50% RH vapor at 24°C less the heat content of water at 10°C).
where ρ da = density of dry air (kg/m 3 ); Q = airflow rate, m 3 /s; C pa = specific heat of dry air, 1.006 kJ/(kgÁK); C pw = specific heat of water vapor, 1.86 kJ/(kgÁK); ΔT = indoor-outdoor temperature difference (K); Δt = duration of analysis period (s) where ΔW = indoor-outdoor humidity ratio difference, kg w /kg da doi:10.1371/journal.pone.0122310.t001 energy required for ventilation is made based on a constant indoor set-point condition and outdoor ventilation flow rate during all hours of building operation. In Singapore's tropical climate, outdoor conditions are consistently warm and humid throughout the year. However, for climates that vary seasonally, buildings would likely operate with different set-point temperatures in different seasons (for example, 20°C in winter and 26°C in summer) in the light of simultaneously pursuing comfort and energy savings goals. Use of a constant ventilation rate during building operating hours, as we have done here, might lead to an overestimation of ventilation energy use, especially for the case of buildings with energy-saving ventilation strategies (e.g. demand-controlled ventilation or energy recovery ventilation). Consequently, the results of this study reveal the maximum reference energy cost for mechanically ventilated buildings in a specific tropical climate.

Results and Discussion
Results and discussion are presented in the following order: 1) ventilation energy demand; 2) ventilation energy cost in relation to the indoor set-point temperature and RH; 3) effects of COP and unit price of electricity cost on ventilation energy and cost; and 4) limitations and implications of the study.

Ventilation energy demand
Fig 2A summarizes the enthalpy profile of outdoor and indoor air. The outdoor air enthalpy is almost uniform throughout the year, with a mean value of 77 kJ/kg of dry air. In Singapore, the enthalpy of outdoor air is consistently higher than that of indoor air because of the warm and humid outdoor conditions. For an indoor condition of 23°C and 50% RH, the median (interquartile range) hourly difference between indoor and outdoor enthalpy for the whole year is 27 kJ/kg da (23-30 kJ/kg da ). This enthalpy difference, combined with a ventilation rate of 10 L/s per person during the building operating hours (M-F 7 am to 7 pm), yields a total enthalpyassociated energy requirement of 4,592 MJ/y per person for buildings in Singapore's climate.
The energy required to treat ventilation air has two components: sensible to adjust temperature and latent to adjust moisture content (Fig 2B). The estimated annual loads associated with a building ventilation rate of 10 L/s per person in Singapore are 826 MJ/person for sensible heat and 3,766 MJ/person for latent heat, respectively. In a tropical climate, a large fraction-82% in this case-of the total ventilation energy load is associated with the requirement to remove latent

Ventilation energy cost in relation to the indoor set-point temperature and RH
Ventilation energy for treating outdoor air varies with the indoor thermal set points (temperature and RH). For a given indoor set point, the efficiency of air conditioning can be parameterized in terms of an "air conditioning system coefficient of performance" (COP). This term is defined as the ratio of the enthalpy change achieved in the air stream normalized by the electrical energy required to achieve it. The COP for compressor-based air conditioning systems might vary between 2 and 6 depending on temperature, RH, characteristics of the chiller, the cooling coil and the air distribution system [47]. Modern, high quality equipment can attain a COP higher than 4 [48,49]. Considering a COP value of 4 and the building system operating hours (M-F 7 am to 7 pm), Fig 3 presents the annual ventilation energy consumption (kWh/y per person) and associated cost in relation to the set point of indoor temperature and RH. The contour lines are labeled with the total annual energy consumption ( Fig 3A) and the associated total annual cost (Fig 3B) for providing a ventilation flow rate of 10 L/s per person.
The figures illustrate the extent to which ventilation energy and cost decrease with increased indoor set points for temperature and RH. Under indoor conditions of moderate temperature (> 26°C) and RH, an increase in ventilation airflow rate can be achieved at relatively low cost. For example, the energy cost for conditioning 10 L/s per person of ventilation air to a temperature of 26°C and an RH of 60% can be accomplished in the Singapore climate at an annual cost of only US $40/y per person. For lower temperature (22°C) and RH (40%) conditions, the cost of providing 10 L/s per person is increased to approximately US $70/y. Fig 4A shows the annual ventilation cost (left y-axis) for increasing ventilation rate as a function of indoor set-point temperature (22°C, 25°C, and 28°C), assuming an indoor RH of 50% and a COP value of 4. Studies indicate that ventilation rates less than 10 L/s per person are associated with an increased prevalence of sick building syndrome symptoms, whereas rates higher than 25 L/s per person can significantly reduce building-related health symptoms [1,2,7,39]. According to Fig 4A,   considered. The per-person cost varies between $ 85/y (for 28°C) and $ 160/y (for 22°C) for achieving 25 L/s per person. Such costs are low in relation to annual wages of office workers in Singapore. Enhanced ventilation flow rates are well justified economically if they yield even small improvements in workplace productivity. Furthermore, it appears possible to achieve thermal comfort in a tropical climate with indoor temperatures that are higher than the normal set point for air conditioning in temperate zones [41][42][43][44][45]. If so, then even a large increase in the ventilation rate could be realized with a small net energy cost for thermal conditioning.
The efficiency of the air conditioning system, as parameterized by the COP, has an important influence on the outcomes assessed here. Fig 4B shows the annual ventilation cost for providing a specified ventilation rate as a function of the overall system COP, within the range of 2 to 6. As the figure illustrates, the annual ventilation cost decreases as COP increases. The per-person ventilation cost for providing 25 L/s per person is up to $ 265/y if the COP is 2, whereas the cost is less than $ 90/y with a COP of 6. For a given system, COP depends on the air conditioning cycle, refrigerant, and system operating temperature and humidity. A high performance air conditioning system (high COP) can be influential in saving energy. Comparing Fig 4A and 4B illustrates that varying the COP across the range 2 to 4 has a much more significant impact on energy cost than varying the indoor set-point temperature across the range of 22°C to 28°C.

Effects of COP and unit price of electricity on ventilation energy and cost
Owing to advances in technology, building mechanical system performance is expected to improve with time. However, with increasing population and energy demand, the cost of electricity is also expected to increase during the coming decades. Fig 5 depicts the ventilation energy cost as a function of the overall system COP and the unit cost of electricity. In the two frames, the x-axis and the y-axis represent the unit cost of electricity and the air conditioning system COP, respectively. The contour lines are labeled with the total annual cost (US$/y per person) for providing ventilation flow rates of 10 L/s per person (Fig 5A) and 25 L/s per person (Fig 5B). The annual cost for thermal conditioning ventilation air is proportional to the unit cost of electricity. Improved system performance can compensate for increasing energy costs. For instance, for a unit electricity cost of 0.40 US$/kWh (~90% higher than the price as of 5 September 2014 in Singapore), providing a ventilation rate of 10 L/s per person would cost $226/y per person with a COP of 2, whereas, with a COP value of 5, thermally conditioning the same ventilation rate can be achieved at an annual cost of less than $90/y per person (Fig 5A). Even at significantly increased cost of electricity such as 0.40 US$/kWh, a system with a high COP (> 4) can sustain thermal conditioning of ventilation at a rate of 25 L/s per person at an annual cost of less than $285 (Fig 5B).

Assessing the benefits of an elevated ventilation rate
Multidisciplinary reviews of the scientific literature suggest that providing a building ventilation rate of 25 L/s per person can enhance the productivity and health of office workers; associated health-related benefits exceed the associated energy costs [1,7]. Fisk et al. [2] reported that as the ventilation rate decreases from 10 to 5 L/s per person, relative sick building syndrome (SBS) symptom prevalence increases approximately 23% (confidence interval: 12% to 32%), and as the rate increases from 10 to 25 L/s per person, relative prevalence decreases approximately 29% (15% to 42%). A later study by Fisk et al. [50] evaluated changes in sick building syndrome (SBS) symptoms, work performance, and short-term absence for four ventilation scenarios of office buildings. The total economic benefit was estimated to be $5.6 billion per year for increasing ventilation rates to 10 L/s per person in US office buildings, and $13.5 billion for increasing ventilation rates to 15 L/s per person, considering decreased SBS prevalence, reduced short-term leaves, and productivity increases. Based on experimental observations, Wargocki et al. [8] reported that performance of office-type tasks (text typing, proof-reading, addition) improved monotonically with increasing ventilation rates. On average, for each doubling of ventilation rate in the range between 3 and 30 L/s per person, office task performance improved by an average of 1.7%. Fisk and Seppänen [51] reported benefit-cost ratios as high as 80 and net economic benefits as high as $700 per person per year attributable to ventilation rate increases in offices and schools in the US. The present study indicates that in a tropical climate, such as Singapore's, ventilation rates as high as 25 L/s per person can be achieved at a moderate cost (< US $300/y per person). This cost is less than 1% of the median gross income of an office worker in Singapore, approximately US$34,000/y per person (corresponding to S$42,000/y per person) as of June 2013 [52]. Hence, even a 1% improvement in productivity that results from providing high ventilation rates would be economically justified. A study performed in Singapore [53] showed significantly better performance (by 22%) as measured by average talk time with a higher ventilation rate (10 L/s per person) than with a lower ventilation rate (5 L/s per person) when the temperature was 24.5°C. The study found a small (and not statistically significant) reduction in performance with a higher ventilation rate when the temperature was 22.5°C. The results of this study hint that the increased ventilation rate has larger impacts on improving productivity when the indoor set-point temperature is higher than 24.5°C. Seppänen et al. [54] reported up to 3% improvement in average performance per 10 L/s per person increase in outdoor air ventilation rate. That study also indicated that the performance increase per unit increase in ventilation was more significant at lower ventilation rates (< 20 L/s per person) and nearly negligible at rates over 45 L/s person.
Even though reducing building energy consumption in tropical climates is an important goal because of the energy required for conditioning outdoor air, the energy cost attributable to establishing and maintaining high ventilation rates is much lower (<1%) than annual wage of office workers. Even in Singapore's tropical climate, building occupants can be provided with substantial ventilation airflow rates in a cost effective way, thereby minimizing exposure to contaminants of indoor origin and promoting occupant health and comfort of occupants at only modest net cost.

Study limitations and implications
This paper has presented the results of an analysis to assess energy use and costs due to increased ventilation rates for office buildings in a tropical climate. Evidence from several published studies supports the benefits of providing higher than customary outdoor air ventilation rates. The results of the present study suggests that the cost of thermal conditioning even a high flow rate of ventilation air is very much less than the annual salary of the average office worker in Singapore, regardless of indoor thermal set point conditions. Specifically, a case study conducted in Singapore [53] has suggested that increased ventilation rate can have substantial impacts on productivity especially when the indoor set-point temperature is higher than 24.5 C. Furthermore, it seems that in tropical climates thermal comfort can be achieved with indoor temperatures higher than the normal set point for air conditioning in temperate zones if alternative or complementary cooling measures are provided, especially if these supplementary measures are under occupant control (e.g., ceiling or desk fans) [41][42][43][44][45]. This study has focused on the energy required to provide specified ventilation rates for the climate conditions in Singapore. Energy required to bring the outdoor air to the set-point conditions was estimated to obtain results that are independent of specific building features or mechanical system characteristics. The relationship between ventilation rate per person and associated energy use for conditioning ventilation air is theoretically linear based on the energy conservation principle. Building system factors such as fan efficiency, pressure losses due to duct geometry, size, length, and junctions, energy losses associated with air handling units (i.e., filters, heat exchangers) contribute to deviations from the linear relationship. These factors vary with the building size, building type, and HVAC system and operation characteristics. The impacts of specific building characteristics and occupant behaviors on the energy use are not within the scope of the present study. Nonetheless, the approach used in this study provides meaningful insight into ventilation-specific energy requirements for office buildings in tropical climates. The results obtained are general for the given climate, independent of specific building characteristics. The energy load for dehumidification and cooling of mechanical ventilation for office buildings is fairly consistent throughout the year. This trend is mainly a result of consistent requirement for dehumidification in a tropical climate and constant indoor set-point conditions in office buildings, despite changes in daily rainfall in different seasons.
The present study provides fundamental insights into the energy cost for thermal conditioning ventilation air in a tropical climate. However, it should be noted that there are several ways to cool and dehumidify the air (e.g., cooling with condensation, cooling without condensation, using liquid or solid desiccant, etc.). A follow-up study with particular attention to variation in type of cooling could address how the sensible and latent cooling processes can vary in practice for office buildings in tropical climate. Furthermore, applying energy-saving technologies such as energy recovery ventilators (ERV) would reduce the energy consumption attributable to ventilation. In addition, concepts such as demand controlled ventilation, displacement ventilation, underfloor air distribution, and personal environmental control systems [55][56][57], have potential to reduce further the gross demand for ventilation by improving the effectiveness of utilizing ventilation air.

Conclusion
We have estimated energy and cost for thermal conditioning of ventilation air for a tropical climate. The energy consumption rate (kWh/y per person) and associated cost were calculated as a function of ventilation rate (L/s per person), indoor set-point temperature and relative humidity, overall system performance, and the cost of electricity. The results show that in a tropical climate, effective dehumidification of outdoor moist air is a critical aspect of building ventilation system performance. For specific indoor climate conditions, the energy cost for ventilation varies with system performance (as measured by the COP) and the unit cost of electricity. Overall, even in a thermally demanding tropical climate, the energy cost associated with increasing ventilation rate up to 25 L/s per person is less than 1% of the wages of an office worker in an advanced economy like Singapore's. Improvements in workplace performance would exceed the costs of providing high ventilation flow rates in office buildings especially when the indoor set-point temperature is higher than 24°C. Using appropriate strategies (e.g., augmented convective cooling with fans) with higher than typical indoor set-point temperature (> 26°C) can allow for a high ventilation rate (such as 25 L/s per person) at a relatively modest thermal conditioning cost.