The calculation model of fuel consumption and emissions based on the engine emission database of the ICAO is constructed under ideal states. This model neglects low-visibility weather and taxiing conflict during actual taxiing, which disagrees with the practical operating environment. Consequently, the calculated results of fuel consumption and emissions are different from those of practical situations. This calculation model was optimized from the following aspects in this study based on the aforementioned shortcomings.
3.1. Influencing Coefficient of Low-Visibility Weather on Taxiing Time
The influences of low-visibility weather on taxiing time were divided into three parts in this study: (1) acquisition and processing of low-visibility weather information, (2) real-time running data processing of aircraft, and (3) determining the influencing coefficient of weather on taxiing time.
(1) Acquisition and processing of low-visibility weather information: weather factors that influence surface taxiing of aircraft were divided into two types, namely, normal and low-visibility weather. The latter includes thunderstorms, rain, snow, and haze. Airports will generally implement Category II operation under low-visibility weather conditions. For example, when the visual range of Pudong airport runway is less than 500 m and the visibility is less than 800 m in the daytime, the airport begins to implement Category II operation.
Current weather conditions are usually recorded at each airport in the form of METAR (meteorological terminal aviation routine weather report) [
34]. The data of airports in the same periods for the past two years were individually collected and translated. For example, a METAR message (METAR ZSPD 251200Z 35006MPS 7000 BKN033 20/17 Q1022 NOSIG=) obtained at Pudong International Airport contains the following information: message type, METAR message; ICAO code of Pudong International Airport, ZSPD; observation time, 12:00 on the 25th of the world coordinated time; wind direction, 350°; wind speed, 6 m/s; ground visibility, 7000 m, 3300 feet, 5–7 clouds; temperature, 20 °C; dew point temperature, 17 °C; corrected sea level pressure, 1022 hPa; no significant weather phenomenon.
Data were divided into r intervals according to the lowest operating condition (e.g., visibility).
(2) Acquisition and processing of surface taxiing data of the aircrafts. First, the QAR data of flights in airports in periods corresponding to
r intervals were collected. Then the periods with zero ground velocity in the QAR data were eliminated to offset taxiing delay due to conflict. Finally, the sum of ground velocities at each second was calculated, thus obtaining the departure taxiing distance of each flight. The taxiing distance was divided by the total taxiing time (
η, excluding the period with zero ground velocity), and the average taxiing velocity of each flight can be obtained. The average taxiing speed of flight
q can be calculated as follows:
(3) Determining the influencing coefficient of low-visibility weather on taxiing time
In periods corresponding to
r − 1 visible intervals, except for the normal weather interval,
f groups of QAR data (
f flights) were randomly chosen in each interval. The sum of average taxiing velocity of each flight in
r − 1 visible intervals was calculated, and the mean was selected:
Given
r − 1 low-visibility conditions, the taxiing time per unit taxiing distance is
,
. If the average taxiing velocity under normal weather is
, then the taxiing time per unit taxiing distance is
. The influencing coefficient of low-visibility weather on taxiing time is as follows:
3.2. Calculation Model of Fuel Consumption and Emissions
The engine performance model of each aircraft under ideal situations is generally applied to calculate fuel consumption. However, acquiring the special performance data of these aircraft types is difficult. Thus, the demands of scholars for available performance data of aircrafts prompted the development of engine emission databases, which can provide fuel flow and emission indexes as functions of engine thrust. At present, two data lists are widely applied. These data lists include the aircraft engine emission database and the base of aircraft data, which were respectively developed and maintained by ICAO [
2] and EUROCONTROL Experimental Center [
35]. The latter is mainly used for the flight stage of aircrafts and estimates fuel consumption for thrust and idling function. However, such a database is hardly used to calculate fuel consumption during surface taxiing of aircraft. The former contains data regarding engine performance and emissions obtained by full-engine tests on sea level. This database provides fuel flow and emission indexes under 7%, 30%, 85%, and 100% of the rated output power for most jet and turbofan commercial engines. A calculation model of fuel consumption for aircraft surface taxiing was constructed in the present study based on the ICAO database. When the aircraft starts taxiing at a uniform velocity in an airport under the ideal state, the calculation formula of fuel consumption is as follows:
where
is the total fuel consumption of aircraft
i during surface taxiing,
is the taxiing time of aircraft
i,
is the fuel flow of one aircraft
i, and
is the number of engines in aircraft
i.According to the emission index corresponding to fuel flow, the calculation formula of pollutant
is as follows:
where
is the emissions of pollutant
of aircraft
i during surface taxiing and
is the emission index of pollutant
from one engine of aircraft
i.
In addition to low-visibility weather, surface taxiing of aircraft often suffers various conflicts due to the growing number of flights and increasingly complicated network system in a large airport. Conflicts can be divided into the following three types: intersection, head-on, and rear-end conflicts. During conflicts, aircraft will be in three states, namely, deceleration, acceleration, and waiting. The calculation formula of fuel consumption can be expressed as follows:
where
is the total taxiing time of aircraft
i under the taxiing state
j,
is the fuel flow of one engine of aircraft
i under the taxiing state
j,
is the number of engines of aircraft
i,
is the state of engine (idling, uniform velocity, breakaway, and turning), and
is the influencing coefficient of low-visibility weather on taxiing time.
The calculation formula of emissions at taxiing conflict is as follows:
where
is the emission index of pollutant
k of aircraft
i under the taxiing state
j.
3.3. Modified Calculation Model of Fuel Consumption and Emissions under Four Taxiing Modes
The modified calculation models of fuel consumption and emissions of aircrafts under full- and single-engine taxiing, external AGPS, and EGTS were constructed in this study based on the aforementioned modified model.
(1) Full-engine taxiing.
Full-engine taxiing means that the main engines of aircraft are initiated and work at a uniform velocity during surface taxiing. This taxiing mode is the most commonly used at present. Fuel consumption (
) of any aircraft
under full taxiing can be expressed on the basis of differences in engine fuel flows under different taxiing states:
where
represents the engine states, namely, idling, uniform velocity, breakaway, and turning;
is the taxiing time of aircraft
i under full-engine taxiing when the engine is at state
;
refers to the number of engines in aircraft
i;
is the fuel flow of aircraft
i when the engine is at state
; and
refers to the influencing coefficient of low-visibility weather on taxiing time.
Pollutant gas emissions of aircrafts are related to fuel consumption and states of the dynamic device. The emissions of pollutant
(
) of aircraft
under full-engine taxiing can be expressed as follows:
where
is the emission index of pollutant
of the aircraft
when the engine is at state
.
(2) Single-engine taxiing.
If frictional force and airport surface slope are allowed, then the aircraft can reserve one engine during taxiing. Under single-engine taxiing, the engine can only consume fuel and produce pollutants during its operation. If single-engine taxiing is adopted, then the main engine, which is closed, must be preheated before entering into the runway. The main engine can provide take-off power to the aircraft only after preheating. The engine start-up time (ESUT) is related to the aircraft mode, engine mode, and closed time of the engines. The duration is generally 2–5 min. Under taxiing, the aircraft needs time to cool the engines, which are closed during taxiing, after it lands. The engine cool-down time is similar to ESUT. The fuel consumption (
) of any aircraft
under single taxiing can be expressed as follows:
where
is the taxiing time of aircraft
under single-engine taxiing when the engine is at state
j;
indicates aircraft taxiing when only half of the engines are started to produce thrust;
is the fuel flow of aircraft
when the engine is at state
j;
is the fuel flow under idling when preheating or cooling of engines is not needed during taxiing;
indicates that if the taxiing time of the aircraft is longer than 5 min, then the preheating or cooling time of engines is set to 5 min. If the taxiing time is less than 5 min, then the preheating or cooling time of engines is used as the taxiing time.
Under single-engine taxiing, emissions of pollutant
(
) can be expressed as follows:
where
is the emission index of pollutant
of aircraft
when the engine is at state
j and
is the emission index of pollutant
when the engine is at idling state.
(3) External AGPS
External AGPS is a taxiing mode driven by a motor tractor while the main engine of the aircraft is unused. When the tractor drags the aircraft to initiate surface taxiing, engines remain at the idling state and are only started 5 min before take-off. Later, the aircraft accomplishes taxiing in the last taxiway section, and the tractor automatically returns. The traction taxiing velocity of the aircraft is far smaller than that driven by engines. The tractor can be divided into diesel- and electric-driven types [
36]. The latter is more economical and environmentally friendly than the former. However, comparing the electricity with fuel consumption under other taxiing modes is difficult. Therefore, the diesel-driven tractor was applied as an external AGPS in the present study.
The fuel consumption (
) of any aircraft
i during external AGPS in an airport can be expressed as follows:
where
is the surface taxiing time of aircraft
under external AGPS. Brake horsepower (
BHP) refers to the average rated
BHP of an engine equipment type. The typical
BHP data are included in
Table A2. The load factor (
LF) is the average operational horsepower output of the engine divided by its rated BHP. The
LFs by equipment type are included in
Table A2.
is the fuel flow of aircraft
at taxiing state
j by tractor
t.
is the number of engines of aircraft
.
refers to fuel flows when the preheating or cooling engines are under idling state.
indicates that if the taxiing time of aircraft is longer than 5 min, then the preheating or cooling time of the engines is set to 5 min. If the taxiing time is less than 5 min, then the preheating or cooling time of the engines is used as the traction taxiing time.
Under external AGPS, the emissions of pollutant
(
) can be expressed as follows:
where
is the emission index of pollutant
from tractor
t of aircraft
and
is the emission index of pollutant
of aircraft
under the idling state of engines.
(4) EGTS
EGTS [
37] provides energy by using an APU. The electric motor on the undercarriage is driven by initiating the APU, thus driving the rotation of airplane wheels. However, the APU cannot provide the necessary power for aircraft taxiing at present; thus, EGTS is only applied as an APU.
Similar to single-engine taxiing, the aircraft must start all closed main engines before take-off and cool all engines after landing. Therefore, the preheating and cooling times of engines must be considered. The main engine of aircraft must be started at least 5 min before take-off. Under EGTS, the fuel consumption (
) of any aircraft
can be expressed as follows:
where
is the EGTS time of the aircraft
;
is the fuel flow when APU is used as the main power for aircraft taxiing;
indicates that if the taxiing time of aircraft is longer than 5 min, then the preheating or cooling time of engines is set to 5 min. If the taxiing time is less than 5 min, then the preheating or cooling time of engines is used as the traction taxiing time. Under EGTS, the emissions (
) of pollutant
k can be expressed as follows:
where
is the emission index of pollutant
under EGTS and
EIik is the emission index of pollutant
when engines are at idling state.