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Balancing the GHG emissions and operational costs for a mixed fleet of electric buses and diesel buses

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Abstract

Making the urban buses electric is regarded as a major strategy to reduce greenhouse gas (GHG) emissions and environmental impacts of fossil fuels. In practice, not all diesel buses (DBs) are replaced by electric buses (EBs) because of budget constraint. This paper investigates the balance of the deployment problem for a mixed fleet with DBs and EBs in the sense of total GHG emissions and operational costs by incorporating the effect of the spatial–temporal passenger flows. The balance strategy of fleet deployment is defined the Pareto optimal allocation of EBs among bus lines to minimize simultaneously the total operational cost and GHG emissions. A real-world urban bus system of Liuzhou City in China is conducted. We find that the bus lines located in the downtown with higher passenger loading would prefer to adopt EBs at the peak hours, and most DBs are allocated to the bus lines with long travel distance at off-peak hours in the suburb. Therefore, the reduced emission by adopting EBs mainly concentrates on the center of the city, and more produced emissions of DBs are distributed far away from the downtown. When all DBs replaced by EBs, the upper bound of the carbon emission reduction ratio is 77.04%, which reduces from 207.15 tons to 47.56 tons per day.

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... Comprehensive approaches to improving the environmental indicators of the use of motor vehicles are considered in works [14][15][16][17]. Garcia, et al. [14] investigate ways to reduce CO 2 emissions using the example of the 10 largest bus routes in the city of Valencia. ...
... The work by Shao, et al. [15] investigates the problem of obtaining a balance during the formation of a mixed fleet of diesel and electric buses, under the condition of minimizing the total emissions of greenhouse gases and operating costs. The simulation was performed for the bus network of the city of Liuzhou in China. ...
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With the increase in renewable energy penetration, the impact of uncertain factors on the efficient operation of multi-energy microgrids (MEMGs) is becoming more and more prominent. Considering the source-load uncertainties of MEMGs, a two-stage stochastic optimization approach based on scenario analysis is proposed in this paper. First, mixed distribution and conditional distribution were used to fit the forecast errors of wind power and multiple loads respectively, so as to provide basic data for scenario generation. Then, an improved K-means clustering algorithm based on relative entropy was used for scenario reduction. This algorithm ensured the scenario reduction speed while maintaining the probability distribution characteristics of the generated scenarios. Taking the day-ahead forecast and scenario analysis results of the sources and loads as inputs, a two-stage stochastic optimization model of MEMG based on random fluctuation stabilization was constructed. In the first stage, equipment outputs are formulated by deterministic optimization based on day-ahead forecasts. In the second stage, the forecast errors are regarded as fluctuations and combined with scenarized source and load variables, energy storage equipment are given priority to stabilize scenario fluctuations. At the same time, based on the conditional value at risk (CVaR), the outputs of energy supply and storage equipment can be flexibly adjusted under different risk preferences to realize the efficient operation of MEMG. The example simulation showed that the proposed stochastic optimization approach make better use of energy storage equipment, make scheduling plans according to different risk preferences to deal with uncertainty flexibly.
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Within the context of the energy transition, there are several alternatives under study for the gradual replacement of diesel fuel based urban transport vehicles. This paper proposes an answer to the following question: Which bus technology and energy mix is more efficient in terms of cost, energy consumption and greenhouse gas emissions? A method is proposed to compare different urban bus fleet technologies, using an integrated index composed of three indices that measure well-to-wheel energy use, global warming potential in terms of carbon dioxide equivalent emissions, and total cost of ownership. The method is applied to the case of Argentina, from the 2019 scenario to the year 2030, and the results for each index show that, (i) even for the current energy scenario, battery and hydrogen fuel cell buses show a decrease in greenhouse gas emissions; that (ii) today the compressed natural gas bus is a better mean of passenger transport for both urban and intercity uses (it could reduce the carbon dioxide equivalent emissions 10.07% and the total cost of ownership 5.3%); and that (iii) both battery and hydrogen fuel cell vehicles become cost competitive with compressed natural gas and diesel vehicles over the course of the current decade. In addition, (iv) the battery electric bus is shown to become the best option by 2023 and (v) the hydrogen fuel cell bus proves to be the best option from 2027 onwards. The transition of the entire urban bus fleet in Argentina to zero-emission technologies is expected to be beneficial from the point of view of energy consumption, environmental emissions and the economy. If transition of the whole fleet to Hydrogen fuel cell buses is carried out, 1.3 Mt of carbon dioxide equivalent emissions could be reduced, which represents a 87% reduction in green house gases emissions, and if the transition is to battery electric buses, the energy consumption would be reduced by between 25 and 38% and emissions by between 52 and 61% abating around 0.93 Mt of carbon dioxide equivalent per year.
Article
Operating short turning line is an efficient strategy to satisfy the unevenly distributed demand during peak periods while reducing operational cost. However, for the battery electric bus (BEB) system, the application of the strategy is challenging due to the disadvantages of BEBs, such as limited driving mileage and long charging time. Improper vehicle configuration and charging scheduling may dramatically increase the operational cost and cut the benefits of these strategies. In this work, we propose a general framework to design an effective short turning strategy for the BEB system at a tactical planning level. First, the trade-off relationship between the battery capacity and the average trip time is identified by modeling the BEBs operations. Second, a microeconomic model is formulated to jointly optimize the frequencies and charging schedules of the whole bus line and the short turning line, to effectively minimize passengers’ waiting time and operational cost. Finally, numerical experiments have been carried out for an illustrative linear line to demonstrate the potential benefits of the sub-line operating strategy compared with the normal operation.
Article
Bus rides have become a routine choice for the large population to travel in Beijing. By the end of November 2020, 82.84% of all buses in Beijing had switched to electric vehicles. A solution to the problem of charging a huge number of battery electric buses (BEBs) in urban areas, especially in crowded cities with large populations, has to be found. In the present paper, a calculation model based on the levelized cost of electricity (LCOE) is established for comparison and analysis of the BEB charging. The calculation results show that the hybrid charging mode is economically feasible. Moreover, from the perspectives of optimizing operation shifts and responding to emergency situations, hybrid charging mode is applicable to the current electric bus system. The calculation results also show that the use of BEBs as the main ground public transportation in Beijing can substantially reduce CO2 emissions and save huge fuel costs. Its application is a very wise choice. The analogy calculation on Tongzhou District, the sub center of Beijing which is under construction, shows that the use of BEBs in Tongzhou can reduce CO2 emissions by about 34.6% on average compared with fuel buses. The population is the main influencing factor of analogy calculation.
Article
Many countries are gradually adopting the latest energy driverless buses to reduce harmful environmental emissions, mainly in the transportation sector. The power supply is the main obstacle to developing new energy driverless buses while assuming the absence of battery technology advances. This paper proposes a new energy regenerative shock absorber to capture the wasted kinetic energy of the vehicle suspension system and produces electrical power. The regenerative shock absorber is divided into four modules: vibration energy capture module, motion conversion module, generator module and electric energy storage module. The random vibration of suspension, caused by certain factors, such as rugged roads and speed variation, acts on the vibration energy capture module. The motion conversion module mainly consists of two helical racks with opposite threads and converts the bidirectional vibration into unidirectional rotation of the generator. The utilization of helical gears with different diameters makes the damping coefficients different, so that the regenerative shock absorber can take full advantage of elastic elements to improve vehicle comfort during compression strokes, and quickly absorb vibration during extension strokes. The generator module generates electricity and the electric energy storage module accumulates the electricity in the supercapacitor. A prototype was fabricated, and the power generation performance of the regenerative shock absorber was evaluated by bench test under different sinusoidal excitations. At input sinusoidal displacement of 7 mm and 2.5 Hz frequency, the average output power of 4.25 W and maximum and average efficiencies 65.02% and 39.46% were calculated. The results demonstrate that the designed regenerative shock absorber can effectively scavenge renewable energy and apply it to the new energy driverless buses.
Article
The use of smartphone applications (apps) to acquire real-time information for trip planning has become and progressively continues becoming a more instinctive behavior among public transport (PT) users. Thus, it becomes an integral part of the design and management of PT systems, but corresponding transit assignment models for improving the prediction of passenger ridership have yet to be developed. This work proposes a novel stochastic transit assignment model that predicts passenger ridership. Two new features are incorporated into a transit assignment model, namely, personalization and bounded rationality. Personalization refers to a personalized route-ranking methodology so that the app recommends paths with respect to a traveler’s preference considering various PT attributes. Bounded rationality is modeled over three route-choice strategies representing different levels of cognitive effort exercised by a traveler in selecting a path from the set of paths recommended by the app. The transit assignment model is formulated as a fixed-point problem. Because the mapping function of the fixed-point formulation is not necessarily continuous, the model constructs an approximated fixed point existing under certain measures of discontinuity. The method of successive averages (MSA) is applied to solve the problem. Numerical studies are conducted to demonstrate the properties of the new transit assignment model, the effect of demand on the path choice probability, and the effect of passengers’ heterogeneity on the convergence of the algorithm. The results reveal that, with a personalized path recommendation, passenger’s preferences could stabilize the differences of path choice probability when adopting route-choice strategies relying on the path order. In addition, although the MSA may not always converge and oscillate, the fluctuation is below the derived measure of discontinuity, indicating that an approximated fixed point can be found.
Article
The bus-bridging service has always faced problems in severe emergencies or catastrophes that require the large-scale evacuation of passengers. This paper provides an alternative evacuation scheme which uses the urban bus network in the case of common metro service disruptions; this is modeled by minimizing the total cost of the affected metro passengers, through jointly selecting the bus lines and frequencies. The uncertain recovery time of the service disruption and the heterogeneous risk-taking behavior of the affected metro passengers are incorporated in the scheme. Therefore, we build a linkage between the evacuation service design and the risk-taking behavior of passengers. A heuristic algorithm is proposed to calculate the optimal evacuation scheme. A numerical experiment using a real-world network is conducted to illustrate the validity of the model and algorithm.
Article
Flexible-route bus systems serving passengers at their doorsteps may be preferable to fixed-route bus systems in areas with low demand densities or whose roads cannot accommodate relatively large fixed-route buses. Flexible-route systems may also be preferable for elderly or handicapped riders for whom accessing the pre-determined stops on fixed routes is difficult. Since bus systems with flexible demand-responsive routes retain the economic and environmental advantages of public transportation, it is important to analyze them and optimize their characteristics to match their operating environments. This study shows how the total cost can be minimized for a flexible-route bus system with a many-to-one demand pattern by jointly optimizing its headway and service zone size. Numerical results demonstrate the model’s applicability and indicate how such flexible-route systems should be adapted to demand characteristics and planning constraints.
Article
United States in 2017 emitted about 14.36% of the total global Greenhouse Gas (GHG), 27% of which comes from the transportation sector. In order to address some of these emission sources, alternative fuel technology vehicles are becoming more progressive and market ready. Transit agencies are making an effort to reduce their carbon footprint by adopting these technologies. The overarching objective of this paper is to aid transit agencies make more informed decisions regarding the process of replacing a diesel fleet with alternative-technology buses to minimize GHG emissions. This study investigates the complete course of fleet replacement using a deterministic mixed integer programming. Bus fleet replacement is optimized by minimizing the Life Cycle Cost (LCC) of owning and operating a fleet of buses and required infrastructures while reducing GHG emission simultaneously. Buses operated by Connecticut Department of Transportation (CTDOT) were used as a case-study. Results also show a significant reduction in both cost and emission for optimized replacement schedule vs the unoptimized one. Results also show that a fleet consisting of 79% Battery Electric Bus and 21% Diesel Hybrid Bus yields the least cost solution which conforms to the other operational and environmental constraints. This study also includes various sensitivity tests, that illustrates that although the magnitude of the results may vary depending on the input data, the direction remains the same. The problem formulated in this study can help any transit agencies determine the most optimized solution to their fleet replacement problem under customizable constraints or desired set of outcomes.
Article
Transit bus passenger loading changes significantly over the course of a workday. Therefore, time-varying vehicle mass as a result of passenger load becomes an important factor in instantaneous energy consumption. Battery-powered electric transit buses have restricted range and longer “fueling” time compared with conventional diesel-powered buses; thus, it is critical to know how much energy they require. Our previous work has shown that instantaneous transit bus mass can be obtained by measuring the pressure in the vehicle’s airbag suspension system. This paper leverages this novel technique to determine the impact of time-varying mass on energy consumption. Sixty-five days of velocity and mass data were collected from in-use transit buses operating on routes in the Twin Cities, MN metropolitan area. The simulation tool Future Automotive Systems Technology Simulator was modified to allow both velocity and mass as time-dependent inputs. This tool was then used to model an electrified and conventional bus on the same routes and determine the energy use of each bus. Results showed that the kinetic intensity varied from 0.27 to 4.69 mi⁻¹ and passenger loading ranged from 2 to 21 passengers. Simulation results showed that energy consumption for both buses increased with increasing vehicle mass. The simulation also indicated that passenger loading has a greater impact on energy consumption for conventional buses than for electric buses owing to the electric bus’s ability to recapture energy. This work shows that measuring and analyzing real-time passenger loading is advantageous for determining the energy used by electric and conventional diesel buses.
Article
Comparisons of the energy and emission intensity of transportation modes are standard features of sustainable transportation research, policy, and advocacy. These comparisons are typically based on average energy and emission factors per passenger trip or per passenger-kilometer traveled. However, as acknowledged in the energy production sector, comparing average emission factors can misinform policy and other decisions because it fails to represent the marginal impact of changing demand. The objective of this paper is to quantify the difference between average and marginal energy and emission factors for passenger transportation modes. Transportation system operations data are used to estimate energy and emission factors per passenger-kilometer traveled for U.S. urban and intercity travel. Marginal emission factors range from 30% (intercity rail) to 90% (private vehicles) of average factors. For urban travel, private vehicles and public transit have similar average emission factors, but marginal factors are 50% lower for transit. The average emission factor for intercity rail is 10% lower than air travel and 30% lower than private vehicles, but the marginal factor is 60% and 80% lower, respectively. Using average energy and emission factors to represent the impacts of travel by different modes is biased against public transit and discounts the benefits of shifting travel away from private passenger vehicles.
Article
This paper presents a multiobjective optimization model to find efficient bus fleet combinations taking into account greenhouse gas emissions, conventional air pollutant emissions and costs. The goal is to minimize, simultaneously, three objective functions, Z1 (CO2 emissions), Z2 (Other Types of Emissions), and Z3 (total costs), for a buses fleet of a transit agency. For this case, there were four types of buses (diesel, electric bus, electric bus of fast charging, and CNG (compressed natural gas bus), which were analyzed in three different lines (South-North, Itinga, and South-Central) in Joinville city, Brazil. The respective data were modeled and optimized using MS Excel. Two different scalarization methods (the Weighted Tchebycheff and the Augmented Weighted Tchebycheff) are used for solving this buses fleet management problem. Different tradeoffs, in terms of the objectives, were obtained. The choice of a bus type is directly related to the characteristics (number of stops, average speed among others) of each line. The electrical bus is the best choice for reducing emissions but has a high initial cost and low autonomy. The results indicate that in the South–North line due to the large number of stops and low average speed, the electric bus is the type of dominant. In the other lines, the dominant ones were the diesel bus in the Itinga line and the CNG bus in the South line.
Article
Growing concerns about energy conservation and the environmental impacts of greenhouse gas emissions over the world have promoted the development of the electric vehicles (EVs) market. However, one of the biggest barriers in the development of the EV market is the lack of the public charging infrastructure. This paper reviews the factors that can directly and indirectly influence the economics of the public charging infrastructure. The knowledge gaps, barriers and opportunities in the development of the charging infrastructure have been identified and analyzed. In order to promote the development of the public charging infrastructure, more research efforts should be paid on the impacts of psychological factors of customers and the technical development of charging infrastructures and EV batteries. The government support has been proved to play an important role, so that how the government policy can be tailored for the development of the charging infrastructure market should receive more attentions. In addition, the charging price as an endogenous factor should be considered more carefully in modelling the charging infrastructure market. New business models are also urgently needed to accelerate the future development of the public charging infrastructure.
Article
Battery electric buses are seen as a well-suited technology for the electrification of road-based public transport. However, the transition process from conventional diesel to electric buses faces major hurdles caused by range limitations and required charging times of battery buses. This work addresses these constraints and provides a methodology for the cost-optimized planning of depot charging battery bus fleets and their corresponding charging infrastructure. The defined problem covers the scheduling of battery buses, the fleet composition, and the optimization of charging infrastructure in a joint process. Vehicle schedule adjustments are monetized and evaluated together with the investment and operational costs of the bus system. The resulting total cost of ownership enables a comparison of technical alternatives on a system level, which makes this approach especially promising for feasibility studies comprising a wide range of technical concepts. Two scenarios of European cities are analyzed and discussed in a case study, revealing that the cost structure is influenced significantly by the considered bus type and its technical specifications. For example, the total energy consumption of the considered lightweight bus is up to 32% lower than the total consumption of the high range bus, although the deadheading mileage increases. However, the total costs of ownership for operating both bus types are relatively close, due to the increased fleet size and driver expenses required for the lightweight bus system. The case study furthermore reveals that a mixed fleet of different bus types could be advantageous depending on the operational characteristics of the bus route.
Article
Existing bus fuel consumption models produce a bang–bang type of control, implying that drivers would have to either accelerate at full throttle or brake at full braking in order to minimize their fuel consumption levels. This is obviously not correct. The paper is intended to enhance bus fuel consumption modeling by circumventing the bang–bang control problem using the Virginia Tech Comprehensive Power-based Fuel consumption Model (VT-CPFM) framework. The model is calibrated for a series of diesel-powered buses using in-field second-by-second data because of a lack of publicly available bus fuel economy data. The results reveal that the bus fuel consumption rate is concave as a function of vehicle power instead of convex, as was the case with light duty vehicles. The model is calibrated for an entire bus series and demonstrated to accurately capture the fuel consumption behavior of each individual bus within its series. Furthermore, the model estimates are demonstrated to be consistent with in-field measurements. The optimum fuel economy cruising speeds range between 40 and 50 km/h, which is slightly lower than that for gasoline-powered light duty vehicles (60–80 km/h). Finally, the model is demonstrated to capture transient fuel consumption behavior better than the Motor Vehicle Emission Simulator (MOVES) and produces a better fit to field measurements compared to the Comprehensive Modal Emission Model (CMEM).
Article
Vehicle Specific Power (VSP) has been increasingly used as a good indicator for the instantaneous power demand on engines for real world driving in the field of vehicle emission and fuel consumption modeling. A fixed vehicle mass is normally used in VSP calculations. However, the influence of passenger load was always been neglected. The major objective of this paper is to quantify the influence of passenger load on diesel bus emissions and fuel consumption based on the real-world on-road emission data measured by the Portable Emission Measurement System (PEMS) on urban diesel buses in Nanjing, China. Meanwhile, analyses are conducted to investigate whether passenger load affected the accuracy of emission and fuel consumption estimations based on VSP. The results show that the influence of passenger load on emission and fuel consumption rates were related to vehicle's speed and acceleration. As for the distance-based factors, the influence of passenger load was not obvious when the buses were driving at a relative high speed. However the effects of passenger load were significant when the per-passenger factor was used. Per-passenger emission and fuel consumption factors decreased as the passenger load increased. It was also found that the influence of passenger load can be omitted in the emission and fuel consumption rate models at low and medium speed bins but has to be considered in the models for high speed and VSP bins. Otherwise it could lead to an error of up to 49%. The results from this research will improve the accuracy of urban bus emission and fuel consumption modeling and can be used to improve planning and management of city buses and thus achieve energy saving and emission reduction.
Article
A total of 13 diesel buses and 12 diesel trucks in Macao were tested using portable emission measurement systems (PEMS) including a SEMTECH-DS for gaseous emissions and a SEMTECH-PPMD for PM2.5. The average emission rates of gaseous pollutants and CO2 are developed with the operating mode defined by the instantaneous vehicle specific power (VSP) and vehicle speed. Both distance-based and fuel mass-based emission factors for gaseous pollutants (e.g., CO, THC and NOX) are further estimated under typical driving conditions. The average distance-based NOX emission of heavy-duty buses (HDBs) is higher than 13 g km-1. Considering the unfavorable conditions for selective reductions catalyst (SCR) systems, such as low-speed driving conditions, more effective technology options (e.g., dedicated natural gas buses and electric buses) should be considered by policy makers in Macao. We identified strong effects of the vehicle size, engine displacement and driving conditions on real-world CO2 emission factors and fuel consumption for diesel vehicles. Therefore, detailed profiles regarding vehicle specifications can reduce the uncertainty in their fleet-average on-road fuel consumption. In addition, strong correlations between relative emission factors and driving conditions indicated by the average speed of generated micro-trips are identified based on a micro-trip method. For example, distance-based emission factors of HDBs will increase by 39% for CO, 29% for THC, 43% for NOX and 26% for CO2 when the average speed decreases from 30 km h-1 to 20 km h-1. The mitigation of on-road emissions from diesel buses and trucks by improving traffic conditions through effective traffic and economic management measures is therefore required. This study demonstrates the important role of PEMS in understanding vehicle emissions and mitigation strategies from science to policy perspectives.
Article
This paper proposes a Linear Complementarity Problem (LCP) formulation for the reliability-based stochastic transit assignment problem with capacity constraints and non-additive link costs, where in-vehicle travel times and waiting times are uncertain. The capacity constraints are developed via the notions of effective capacity and chance constraints. An equivalent route-based linear program (LP) for the proposed problem is formulated to determine the patronage of each line section, critical links, critical service frequencies, unmet demand and the network capacity, which considers the risk-aversive behavior of travelers. A solution method is developed, utilizing the K-shortest path algorithm, the column generation technique, and the revised simplex method, to solve the proposed LP with guaranteed finite convergence. Numerical experiments are also set up to illustrate the properties of the problem and the application of the proposed model for reliability analysis.
Article
We propose a new formulation for the assignment problem over congested transit networks. The congestion effects due to insufficient capacity of system elements (transit lines) are considered to be concentrated at transit stops. Waiting times on access links are therefore dependent on passenger flows. A special formulation of the transit network is used in order to model correctly the congestion effects. Finally, algorithms for solution are analyzed.
Article
In this paper, we propose a user equilibrium transit assignment model that takes into account transit schedules and individual vehicle capacities explicitly. The model assumes that passengers use travel strategies that can be adaptive over time and graphically represented as subgraphs. When loading a vehicle, on-board passengers continuing to the next stop have priority and waiting passengers can be loaded on a first-come-first-serve basis or in a random manner. The latter is appropriate when passengers mingle on waiting platforms. When a vehicle is full, passengers unable to board must wait for the next vehicle to arrive. The equilibrium conditions can be stated as a variational inequality involving a vector-valued function of expected strategy costs. Although the function is not necessarily continuous or monotonic, a solution to the variational inequality exists. To find a solution, we propose a method that takes successive averages as its iterates and generates strategies during each iteration by solving a dynamic program. Numerical examples empirically demonstrate that the algorithm converges to an equilibrium solution.
Article
This paper presents a first approach to dynamic frequency-based transit assignment. As such the model aims to close the gap between schedule-based and frequency-based models. Frequency-based approaches have some advantages compared to schedule-based models, however, when modelling highly congested networks a static frequency-based approach is not sufficient as it does not reveal the peaked nature of the capacity problem. The central idea for dealing with the line capacity constraints is the introduction of a “fail-to-board” probability as in some circumstances passengers are not able to board the first service arriving due to overcrowding. The common line problem is taken into account and the search for the shortest hyperpath is influenced by the fail-to-board probability. An assumption that passengers mingle on the platform allows a Markov network loading process which respects the priority of on-board passengers with respect to those wishing to board. The study period is divided into several time intervals and those passengers who failed to board are added to the demand in the subsequent time interval and so might reconsider their route choice. Trips that are longer than one interval are also carried over to subsequent time intervals. The approach is first illustrated with a small example network and then with a case study relating to London, where transit capacity problems are experienced daily during the peak period.
The price of diesel in Liuzhou
  • Pd
PD. The price of diesel in Liuzhou. 2022, (Accessed on 1 2022) https://www. icauto.com.cn/oil/price_450200_7.html.