#### Abstract

At present, there are two main standards, ISO 23828 : 2013 and SAE J 2572–2014, which prescribe the hydrogen consumption test using the pressure method, gravimetric method, and flow method. However, these methods do not meet the test requirements for electric energy consumption and the range of plug-in hybrid fuel cell vehicles (FCVs) which are the main technical considerations in China and Europe. In this paper, a new test method for the hydrogen consumption, electric energy consumption, and range of FCVs is proposed without the use of additional hydrogen supply, measurement instruments, or energy consumption correction, which can improve the operability of the test and avoid the conversion between electric energy and hydrogen. One plug-in hybrid FCV and one nonplug-in hybrid FCV were tested using the proposed method. The results show that the new method meets the requirements of fuel economy test for FCVs with hydrogen consumption rate, electric energy consumption rate, the range for plug-in hybrid FCVs, hydrogen consumption rate, and the range for nonplug-in FCVs.

#### 1. Introduction

In the face of challenges such as global energy shortages and environmental pollution, new energy vehicle technology has become the focus of sustainable development in the automotive industry. Fuel cell vehicles (FCVs) are gaining importance among new energy vehicles due to their zero-emission and high-efficiency characteristics and also the diversification of hydrogen resources. These vehicles have been recognized as one of the ideal solutions for energy shortages and climate change [1]. In recent years, extensive resources have been invested in research on the key technologies for fuel cell vehicles, and several FCV passenger cars, such as Toyota’s Mirai and Hyundai’s NEXO, have come into the markets [2].

In the same way as conventional vehicles, power, economy, handle stability, and safety are essential performance criteria for FCVs. Fuel economy is directly related to the cost in the everyday use of FCVs [3], and it is thus very important to be able to evaluate the fuel economy scientifically. The test methods used to evaluate hydrogen consumption and range of FCVs are mainly based on two standards: ISO 23828 : 2013《Fuel Cell Road Vehicle-Energy Consumption Measurement-Vehicles Fueled with Compressed Hydrogen》 [4] and SAE J 2572–2014《Recommended Practice for Measuring the Exhaust Emissions, Energy Consumption, and Range of Fuel Cell Powered Electric Vehicles Using Compressed Hydrogen》 [5]. In addition, a number of papers have been published concerning the evaluation of hydrogen consumption of FCVs. Yano et al. [6] found that the measurement of hydrogen consumption is strongly influenced by the pulsation frequency and amplitude of H_{2} supply, and high-accuracy measurements were realized through a series of improvements on the test instruments. The concept of equivalent hydrogen consumption was introduced by Zheng et al. [7] in order to evaluate the impact of the difference between the initial and final states of charge (SOC) of traction battery on hydrogen consumption, which implies that the final SOC of RESS (rechargeable energy storage system), such as traction battery and supercapacitor, and the hydrogen consumption of FCVs follow linear relationships. Subsequently, a hybrid system with a fuel cell and a traction battery was optimized by considering the system’s size, efficiency, and hydrogen consumption [8]. Similarly, the final SOC of RESS after test does not remain unchanged for different testing cases. Consequently, it is difficult to compare directly and accurately the hydrogen consumption between the different cases. Moreover, Zheng et al. [9] considered the situation where the battery temperature affected the total hydrogen consumption of FCV, as the battery temperature was related to the battery efficiency and was further related to the efficiency of the entire power train.

All the researches mentioned above have provided valuable and significant insight into the evaluation methods of hydrogen consumption. However, the current method has four problems that require further consideration: (a) it is difficult to measure the vehicle’s hydrogen consumption with high accuracy; (b) it is impossible to keep the SOC of RESS unchanged before and after the hydrogen consumption test; (c) besides SOC, other factors such as battery temperature and efficiency can also affect hydrogen consumption; (d) no specified test methods for electric energy consumption have been established for plug-in fuel cell hybrid vehicles. Further studies are, therefore, needed to investigate and improve the test methods for energy consumption of FCVs.

A new method for the evaluation of hydrogen consumption and range, based on the analysis of current methods for hydrogen consumption and range of FCVs and considering the features FCVs’ power systems, is proposed, and some practical tests are conducted to verify suitability of this method.

#### 2. Analysis and Application of ISO and SAE Methods in the Hydrogen Consumption of FCVs

##### 2.1. Brief Introduction to the Related Standards of ISO and SAE

The test method for the evaluation of hydrogen consumption for FCVs is provided in ISO 23828 : 2013 and SAE J 2572–2014 with detailed prescriptions of the ambient conditions, instruments, vehicle conditions, hydrogen consumption measurements, and the correction method for hydrogen consumption. The last two items mentioned above are the core of these two standards.

###### 2.1.1. Test Method for Hydrogen Consumption

Four different measurement methods are described for hydrogen consumption in ISO 23828 : 2013, which are the pressure method, gravimetric method, flow method, and current method. The current method is based on the assumption that hydrogen is completely converted to electrical current, and this can lead to large errors and is, therefore, not recommended. In SAE J 2572, the pressure method, the gravimetric method, and the flow method are suggested for the measurement of H_{2} consumption. For these three methods, the additional hydrogen tank or external hydrogen supply systems are needed to supply hydrogen for the test vehicle without using hydrogen from the original tank, as demonstrated in Figure 1.

For the pressure method, the mass of hydrogen consumption, measured in , is calculated by measuring the gas pressure and temperature before and after the test using where *V* is the volume (measured in L) of the high-pressure section of the external hydrogen tank, if necessary, accessories; *R* is the gas constant (0.0083145 MPa·L/mol·K); *P*_{1} and *P*_{2} are the pressures, in MPa, of the H_{2} in the tank at the start and end of the test, respectively; *T*_{1} and *T*_{2} are the temperatures, in K, of the gas in the tank at the start and end of the measurement, respectively; *z*_{1} and *z*_{2} are the compression factors at *P*_{1,}*T*_{1} and *P*_{2,}*T*_{2}, respectively.

For the gravimetric method, the mass of hydrogen consumption, *w,* measured in , is calculated by the measured gas mass before and after the test using where and are the mass of the additional hydrogen tank, in , at the start and end of the test, respectively.

For the flow method, the mass of hydrogen consumption, *w,* measured in , is calculated by integrating the mass flow rate over the testing duration using where *t* is the measurement time and *Q* is the measured hydrogen mass flow in test, in g/s.

###### 2.1.2. Linear Correction Method for Hydrogen Consumption

Most hydrogen fuel cell vehicles are currently hybrid FCVs with the configuration of a combination fuel cell stack and traction battery and/or supercapacitor. For nonplug-in hybrid FCVs, in ISO 23828 : 2013 and SAE J 2572–2014, the hydrogen consumption needs further correction if the net energy change of RESS is greater than one percent of the total H_{2} energy consumed in each test cycle, which can be judged using where Δ*E*_{RESS} is the net energy change of the battery/capacitor system, in J; *M* is the total mass of the hydrogen consumed over each cycle of the test schedule, in .

According to SAE J 2572–2014, at least four test cycles are needed to collect data in the correction process for obtaining a linear equation between H_{2} consumption and the net energy change of RESS. Therefore, the preconditioning of RESS becomes very important. A minimum of two tests are conducted after the vehicle’s RESS is depleted by preconditioning and a minimum of two tests are conducted after the vehicle's RESS is charged fully by preconditioning. To achieve good results, each data point may be set according to the manufacturer’s recommendations or through good engineering judgment. As displayed in Figure 2, the circle represents the test results for each test, the *x*-axis represents the net energy change of RESS, and the *y*-axis shows the H_{2} consumption. If Δ*E*_{RESS} is greater than zero, it means that the RESS was charged in the test; if Δ*E*_{RESS} is less than zero, it means that RESS was discharged.

The relationship between hydrogen consumption and the net energy change of the RESS can be fitted by a linear equation and then used to determine the value of hydrogen consumption for the case when the net energy change RESS is zero. The acceptance criterion for linearity is as follows: *t*-test with 95% confidence level and *R* value greater than or equal to 0.95.

##### 2.2. Practical Applications of H_{2} Consumption Methods in ISO 23828 : 2013 and SAE J 2572–2014

The flow method was used to test H_{2} consumption for hybrid FCVs according to the requirements of ISO and SAE standards. At the temperature of 25°C, a four-wheel-drive chassis dynamometer and an H_{2} mass flow meter with accuracy of 1% were used to conduct the test with the drive schedule of NEDC (New Europe Driving Cycle). The test was repeated over 10 cycles with NEDC, in order to obtain enough samples, and the test results are displayed in Figure 3. The SOC of RESS was adjusted to ensure that its value can take both higher and lower cases.

As displayed in Figure 3, the data has an obviously linear relationship in the charge part of RESS (right side), which is not the case for the data in the discharged part (left side). Among these 10 data, two groups were selected for linear fitting; each group had 4 data points with clearly linear relationships, which meets the data requirements of SAE J 2572–2014.

The data of sample A and sample B were used to obtain the linear fitting equations (5) and (6), respectively, as shown in Figure 4:where *C*_{H2} is H_{2} consumption per 100 km, in kg/100 km.

**(a)**

**(b)**

Based on the two linear fitting equations above, the H_{2} consumption and the range were calculated using the method suggested by SAE J 2572–2014. These are listed in Table 1.

From the above process, it can be deduced that the linear fitting of the two data groups can both meet the acceptance criteria: *t*-test with 95% confidence level and *R* value greater than or equal to 0.95. The two different H_{2} consumption results, after correction using the two linear fitting formulas, were 1.0662 kg/100 km and 0.8662 kg/100 km, respectively, with the difference amounting to 0.2 kg/100 km. The difference between the two calculated ranges using the usable H_{2} amount and the H_{2} consumption was close to 100 km.

##### 2.3. The Suitability Discussion on Methods by ISO and SAE Standards

Given that the two standards, ISO 23828 : 2013 and SAE J 2572–2014ISO, were released in the year of 2013 and 2014, respectively, their suitability has been changing with the rapid development of FCV technology.(1)As shown in part 1.2 of this paper, the current method may cause larger errors because of two possible reasons:(a)The measurement error of H_{2} consumption: for the flow method adopted in this paper, the fluctuation in the H_{2} supply can influence the accuracy of the flow meter. Given that the off-board H_{2} supply system, used in this paper, was constructed according to the method suggested in Annex F of ISO 23828 : 2013, the maximum accuracy in the H_{2} mass flow is no more than 1%. The possible factor affecting the inaccuracy by the mass flow measurement can be excluded.(b)The error caused by the correction method: the correction method by ISO and SAE standards was deduced with an assumption that the linear relationship between H_{2} consumption of FCV and the net energy change of RESS is correct. This assumption means that, for a certain value of net energy change of RESS, there is a certain value for H_{2} consumption for the particular FCV. Based on the measurement data displayed in Figure 3, the assumed linear relation is not correct for the following reason: because of the detailed difference between energy management strategies for FCV, the working range of fuel cell stack should be different with different starting SOC of RESS for each test cycle, which can result in different efficiencies in the electricity generation of the fuel cell stack. Therefore, the equivalent net energy change of RESS for different test cycles does not mean equivalent H_{2} consumption.(2)The plug-in hybrid FCVs, such as the GLC F-cell of Mercedes-Benz and Roewe 950 fuel cell of SAIC, with higher capacity traction batteries are coming into the market. The evaluation method of H_{2} consumption by ISO and SAE standards does not suit the measurement of energy consumption for plug-in hybrid FCVs. For plug-in hybrid FCVs with traction battery, the battery can be charged from the grid, and its energy consumption should include both H_{2} consumption and electric energy consumption. Furthermore, its range should also include the part contributed by the traction battery and must not be simply based on calculations using the amount of usable hydrogen and dividing it by the hydrogen consumption rate.

#### 3. A New Method for Measurement and Calculation of Energy Consumption and Range of FCVs

Based on the discussion in part 1, a new method was suggested for obtaining energy consumption and range of FCVs in order to reduce errors in the evaluation of H_{2} consumption and range caused by the correction method. The new method can satisfy the evaluation of energy consumption for plug-in FCVs.

In this paper, fuel cell vehicles are classified into two types: plug-in FCVs and nonplug-in FCVS. The new method is composed of five main parts: vehicle preparation, test procedure, criteria of end on test, data collection requirements, and data analysis method. The main idea in the new method is that, after vehicle preparation, the range test should be conducted on the chassis dynamometer using adaptive driving cycle until the end criteria are met. The data should be collected during the test at the required positions with a certain frequency; after the test, the data is analyzed according to a given procedure for obtaining H_{2} consumption and electric energy consumption. The details of this new method are discussed as follows.

##### 3.1. Test Vehicle Preparation

Before the test, the test vehicle is prepared according to the following requirements:(a)Refuel the vehicle. Ensure SOC of H_{2} tank reaches 99% ± 1%.(b)For plug-in FCVs, charge the vehicle battery to the full state or meet the manufacturer’s requirements. For nonplug-in FCVs, the test personnel should adjust the SOC of traction battery to the highest state or value set by the vehicle manufacturer with the help of engineers from the vehicle manufacturers.(c)Soak the vehicle at 25 ± 5°C for at least 12 h.(d)Move the vehicle into position (pushed or towed, not driven) on the dynamometer and restrain.

If the vehicle moves between each step, it shall be pushed to the next test area (without regenerative recharging).

##### 3.2. Test Procedure

The test procedure should meet the following requirements:(a)The vehicle shall be loaded according to the specification of standards and regulations of local authority. The vehicle should then be started according to the procedure specified by the vehicle’s manufacturer and the appropriate test sequence should be applied until the end-of-test criteria are met, when the vehicle should be stopped. The tolerances on speed and time in the test sequence should meet the requirements of standards or regulations.(b)The stop cases between each drive cycle should not be greater than three times, and the total stop time duration should not be greater than 15 min.(c)For plug-in FCVs, the RESS should be charged within 30 min after the end of the test according to the specifications and the electric energy, *E* in Wh, should be recorded from the grid, and this is the electric energy consumed by the test vehicle.(d)After soaking the vehicle at 25 ± 5°C for at least 8 h, the vehicle should be moved (without using vehicle power) to an H_{2} station or other places to refill the H_{2} tanker to the full state (99% ± 1%), and the mass of H_{2} refilled into vehicle, *m*_{H2} in kg, should be recorded.(e)Data should be collected and recorded from the start to the end of the test, according to requirements of 2.4.

##### 3.3. End-of-Test Criteria

There are three criteria, listed as follows, for judging the end of the test sequence. If one of them is satisfied, then the end of the test is reached and the vehicle should be stopped.(a)If an indication from the onboard instrumentation is shown to the driver to stop the vehicle.(b)If the speed or the tolerances on speed and time in the test sequence cannot meet the specification, the vehicle should be stopped.(c)If the pressure of the onboard H_{2} container drops below 20 bar (includes 20 bar), the vehicle should be stopped.

##### 3.4. Requirements for Data Collection

During the test procedure, the data should be collected in the following format:(a)Data on the distance, *D* in km, covered by the vehicle from the start to the end of the test sequence. The time duration, *T* in *s*, should also be recorded.(b)The collected data from the tests are shown in Figure 5. For plug-in FCVs, data on the voltage traction battery (*U*_{BAT}), current of traction battery (*I*_{BAT}), output voltage of fuel cell stack (*U*_{FC}), and output current of fuel cell stack (IFC) should be recorded. For nonplug-in FCVs, at least two parameters, *U*_{BAT} and *I*_{BAT}, should be collected. The sample frequency should not be below 5 Hz.(c)The refueled hydrogen mass, *m*_{H2} in kg, after the test equals the total mass of the hydrogen consumed during the test. For plug-in FCVs, the recharged electric energy, *E* in kWh, from the grid after the test is the total electric energy from the grid consumed during the test.

##### 3.5. Data Analysis

(1)For plug-in FCVs, the data should be analyzed using the following steps:(a)Based on the collection data of *U*_{FC}, *I*_{FC}, and *T*, the total output energy, *E*_{FC} (kWh), from the fuel cell stack can be calculated using(b)Based on the collection data of *U*_{BAT}, *I*_{BAT}, and *T*, the net energy change of RESS, (kWh), can be calculated using(c)The total energy from the RESS and the fuel cell stack, (kWh), can be calculated by the addition of *E*_{FC} and , obtained from (7) and (8), respectively, using(d)Based on the results obtained from (7) and (9), the percentage (*η*_{FC}) of *E*_{FC} over and the percentage (*η*_{BAT}) of overcan be calculated by(e)Based on *D* and *η*_{FC}*,* the range contributed by fuel cell stack, *D*_{FC} (km), can be calculated by(f)Based on *D* and *η*_{BAT}*, the* range contributed by the traction battery, (km), can be calculated by(g)Based on the measured data *m*_{H2} and *D*_{FC}, the H_{2} computation per 100 km, *C*_{H2} (kg/100 km), can be calculated by(h)Based on the measured data *E* and *D*_{BAT}, the electric energy computation per 100 km, *C*_{E} (kWh/100 km), can be calculated by Based on the above steps, the economy of plug-in FCVs can be presented with three indexes of range, hydrogen consumption rate, and electric energy consumption rate.(2)For nonplug-in FCVs, the percentage of the net energy change of RESS over the total hydrogen energy should be calculated first. If the calculated value is less than 3%, then the influence of the traction battery on the range is negligible. Otherwise, the SOC of traction battery should be adjusted to conduct another test. Based on the investigation on the nonplug-in FCVs, such as Mirai of Toyota, FCX Clarity of Honda, and NEXO of Hyundai, in the market, it was found that all these FCVs are matched with traction batteries with lower capabilities.(a)With *U*_{BAT}, *I*_{BAT}, and *T*, the net energy change of RESS (kJ) can be calculated using Compared with plug-in FCVs, the net energy change of nonplug-in FCVs is smaller, and this value can be negative or positive. The absolute value is used in the following calculation.(b)With known total hydrogen mass, *m*_{H2}, and lower heating value of hydrogen, the total energy from hydrogen consumed in the range test, (kJ), can be calculated by where the LHV_{H2} is the lower heating value of hydrogen (1.2 × 105 kJ/kg).(c)The calculated results from (16) and (17) are then used to calculate the percentage, _{,} of net energy of RESS over the total energy of hydrogen:(d)If , then calculate the H_{2} consumption per 100 km, *C*_{H2} (kg/100 km), directly using

_{2}consumption per 100 km, and the range is the measured value in the test instead of being the calculated value.

#### 4. Practical Applications of the New Method

To verify their suitability, one plug-in FCV (passenger car) and one nonplug-in FCV (passenger car) were tested and analyzed using the new method.

##### 4.1. The Test of Plug-In FCV

The test vehicle was a passenger car with a curb weight of 2010 kg, and the vehicle was charged to its full state for traction battery and a refill of 100% SOC for the H_{2} tank. The range test was conducted using the drive cycle of NEDC, and the voltage and current of fuel cell stacks and RESS were collected over the whole test process. The data of its 17th cycle is displayed in Figures 6 and 7. When the range reached 385.01 km, the indication from the onboard instrument informed the driver to stop the vehicle.

According to the data analysis method of Section 2.5 and based on the five values of range, output energy of fuel cell stack, net energy change of traction battery, mass of H_{2} consumption, and the electric energy from grid, another five values can be calculated, which are the total energy from the traction battery and fuel cell stack, contribution percentage of traction battery, contribution percentage of fuel cell stack, range contributed by traction battery, and range contributed by fuel cell stack. The related values are listed in Table 2.

##### 4.2. The Test of Nonplug-In FCV

A nonplug-in FCV passenger car with curb weight of 1950 kg was used to conduct tests according to the new method. The H_{2} container of the test car was refilled to its full state and the SOC of its traction battery was adjusted to a higher value. The driving cycle of NEDC was adopted to conduct the range test with measurements of the voltage and current of its traction battery. The data for the 20th cycle is illustrated in Figure 8. When the indicator from the onboard instrument informed the driver to stop, the range was 450.03 km.

The test results are listed in Table 3. The total energy of hydrogen consumed in the rest was 546,000 kJ with the total mass of hydrogen consumed at 4.55 kg. The net energy change of traction battery was 4,320 kJ (or 1.2 kWh), and the percentage was 0.79% for the net energy change of traction battery over the total energy of the hydrogen consumed. This percentage means that the range contributed by traction battery was only 3.65 km (0.79 % × 450 km) and could thus be neglected. According to the new method in this paper, because the condition of *η*_{EBAT/EH2} ≤3% was satisfied, the H_{2} consumption per 100 km was 1.01 kg, and it could be calculated directly.

#### 5. Conclusions

A new method for evaluating the H_{2} consumption and range was put forward for the complete evaluation of the fuel economy of FCVs, and this method can be used for both plug-in and nonplug-in FCVs. The method overcomes the disadvantages of the methods of ISO and SAE standards, which are not suited to nonplug-in FCVs. The new method does not require off-board H_{2} supply and measurement instruments such as additional H_{2} tanks, pressure sensors, temperature sensors, balances with high accuracy, flow meter, and an additional H_{2} line. The correction process is not needed either, which can improve the operability and suitability of the test method.

The following conclusions can be drawn from the overall process of this new method:(1)For plug-in FCVs such as GLC FC of Mercedes-Benz and Roewe 950 FC of SAIC, the current standards do not take two important factors into consideration, namely, the electric energy consumption and the range supported by the traction battery. The new method can solve these problems reasonably well with H_{2} consumption, electric energy consumption, and range contributed by both H_{2} and battery.(2)For nonplug-in FCVs such as the Toyota Mirai, Honda Clarity, and Hyundai NEXO, their range contributions by the traction battery are less than 3%. Therefore, their fuel economy can be presented by H_{2} consumption and range.

#### Data Availability

The test data used to support the findings of this study are included within the paper.

#### Conflicts of Interest

The authors declare that they have no conflicts of interest.

#### Acknowledgments

The work was financially supported under the grants of the National Key Research and Development Program of China (Projects nos. 2017YFB0103100 and 2018YFE0105400) and Tianjin Municipal Science and Technology Commission Program (Project no. 17ZXFWGX00040).