DISEÑO E IMPLEMENTACIÓN DE UN EMULADOR DE PILA DE COMBUSTIBLE PEM PARA COMPORTAMIENTO ESTÁTICO Y DINÁMICO

CARLOS ANDRÉS RAMOS-PAJA
Profesor Facultad de Minas, Universidad Nacional de Colombia, Sede Medellín, caramosp@unal.edu.co

ADOLFO ANDRÉS JARAMILLO-MATTA
GAEI, Universidad Rovira i Virgili, Tarragona-España, adolfoandres.jaramillo@urv.cat

EFRAÍN ANTONIO PÉREZ-ROJAS
Profesor Facultad de Minas, Universidad Nacional de Colombia, Sede Medellín, eaperez@unal.edu.co

ABSTRACT: This paper presents the design, implementation, and experimental validation of a digitally-controlled emulator of proton exchange membrane (PEM) fuel cells for static and dynamic behavior. The emulator is a low cost, easy to use, and portable device designed to evaluate power systems and control strategies for fuel cell-based generation systems. For the implementation of this emulator, an appropriate mathematical model is chosen, parameterized, and experimentally validated. The resulting model is processed digitally by the emulator, which generates the appropriate electrical behavior to a load. The emulator power stage is implemented by using a two-inductor step-down DC/DC switching converter, which is controlled directly by the digital processing system. Later, the electrical scheme of the power stage and the block diagram of the system are presented, and the behavior of the emulator is illustrated with a simulation. Finally, the emulator is validated using experimental data.

KEYWORDS: Fuel cell emulator, proton-exchange membrane fuel cell, real-time processing, DC/DC switching converter, digital control

RESUMEN: Este artículo presenta el diseño, implementación y validación experimental de un emulador controlado digitalmente de pilas de combustible con membrana de intercambio protónico (PEM), tanto para comportamiento estático como dinámico, el cual es fácil de usar y proporciona autonomía y portabilidad a bajo costo. El emulador permite la evaluación de sistemas de potencia y estrategias de control en sistemas basados en pilas de combustible. Para la implementación del emulador se seleccionó, ajustó y validó un modelo matemático apropiado. El modelo es procesado digitalmente en el emulador, el cual genera el comportamiento eléctrico apropiado a la carga. La etapa de potencia fue implementada usando un convertidor DC/DC conmutado de dos inductores, controlado directamente con el sistema de procesamiento digital. El artículo presenta el esquema eléctrico y diagrama de bloques de la etapa de potencia, y el comportamiento del emulador es ilustrado con resultados de simulación. Finalmente, el emulador es validado experimentalmente.

PALABRAS CLAVE: Emulador de pilas de combustible, pila de combustible PEM, procesamiento en tiempo real, conversores DC/DC conmutados, control digital

1. INTRODUCTION

Among the different types of fuel cells, the proton exchange membrane (PEM) fuel cells are especially interesting because they have a high power density, solid electrolytes, and relatively low corrosion. Also, their low operation temperature (65 ^oC to 100 ^oC) enables a fast start-up of PEM-based systems [1].

In Fig. 1, the PEM basic principle is presented [2]: fuel (hydrogen) is provided to the catalytic layer of the anode, where the hydrogen dissociates and produces protons and electrons. The chemical reaction in the anode is:

(1)

Figure 1. PEM fuel cell basic principle.

The protons flow through an electrolytic membrane that blocks the electrons from the catalytic layer of the cathode. Thus, the electrons are forced to travel through an external circuit, generating an electric current. At the other end of the fuel cell, the oxygen flows through the cathode to the catalytic layer. At this point, oxygen, protons, and electrons are consumed, producing liquid water and heat in the surface of catalytic particles. The chemical reaction in the cathode is:

(2)

Finally, the global process in the fuel cell can be summarized as:

(3)

The PEM-based systems require auxiliary elements, such as the systems that provide the oxidant (air oxygen) and fuel (hydrogen), the humidification system, the temperature control, and the pressure regulation system. The structure of the fuel cell power system with the support subsystems can be observed in Fig. 2. This system can be very complex, and in most applications an additional interface power system is required between the PEM fuel cell and an electrical load [3].

Figure 2. PEM fuel cell power system.

In this way, in [4] the responses of a stabilization strategy for induction motor drives with poorly damped input filters using a hardware-in-the-loop (HIL) simulator is evaluated because it allows for faster and more flexible experiments in comparison to using a real motor-inverter system. In electric systems, a reduced-scale distribution network simulator [5] is proposed. Other applications include emulators of mechanical loads [6] for testing electrical drives and motion-control techniques. Similarly, a real-time simulator was presented in [7], where the emulation of a voltage-source converter-based Distribution STATic COMpensator (D-STATCOM - 5 kVA) power system is presented. This emulation technique has also been used intensively by the automobile industry as reported in [8].

In [9] a fuel cell real-time simulator oriented to evaluate the performance of DC/DC and DC/AC converters powered by fuel cells is presented, but it only reproduces the fuel cell static behavior. Similarly, in [10] a fuel cell emulator based on real-time hardware is presented. That work was improved in [11] by a fuel cell dynamic simulator based on a programmable DC power supply and a LabVIEW graphical user interface. These emulators allow for one to carry out experiments in a safe and easy way without the consumption of reagents, but all of them are based on closed-loop fuel cell systems, and therefore it is not possible to test control systems behavior. Also, those emulators are based on non-specialized hardware, making them expensive, non-portable and difficult to adapt to new fuel cell systems. Finally, the models used in those emulators do not represent the main overall system dynamics, making them not suitable for the evaluation of power electronics and control systems in practical fuel cell applications.

In this paper, a digitally-controlled emulator of PEM fuel cells which is based on a dynamical model adjusted to real fuel cell measurements is presented. The emulator is intended to test power systems designed to interact with PEM fuel cells and to evaluate the performance of strategies for fuel regulation in different electrical power profiles. The emulator is implemented by using a low-cost microcontroller and a DC/DC switching converter resulting in a low-cost, portable, and easy-to-configure embedded system. The only additional hardware required is a voltage power supply.

The paper is organized as follows: in Section 2, the mathematical model used in the emulator is shown and the experimental parameterization of the model is described. In Section 3, the power stage of the emulator is presented. In Section 4, the general structure of the emulator and its implementation is described. In Section 5, the validation of the emulator using experimental data is performed. Finally, the conclusions of the work are presented in Section 6.

2. MATHEMATICAL MODEL

After evaluating different mathematical models proposed in the literature, the PEM fuel cell power system model proposed in [1, 12] was selected for the emulator implementation because it takes the fuel cell stack, the systems that provide the oxygen and hydrogen, the humidification system, the temperature control, and the pressure regulation system into consideration. This model is based on the physical and chemical relations present in the electrical energy generation system, obtaining satisfactory performance in the prediction of both static and dynamic behaviors. In the same way, another interesting model evaluated was the one proposed in [13].

Both Pukrushpan et al. and Real et al. models have well defined functional blocks, so that Matlab models for computational simulation are available. Using such functional blocks, a computer-based simulation system was designed and parameterized to predict the behavior of an experimental fuel cell stack.

Figure 3. A 5W H₂Economy-EcoFC fuel cell.

Several experiments considering changes in the cell current, at constant temperature, were performed to evaluate the fuel cell static and dynamic responses. The experimental system uses a fuel cell test station MTS-150 to regulate the reagent flows, an electronic load ECL-150 to define the cell current, and a computer to store the experimental data transmitted through a GPIB channel supported by the measurement devices.

In the experiments, the anode-cathode pressure-ratio was adjusted in open loop according to the instructions provided by the fuel cell manufacturer.

In the model, the corresponding adjustment follows the open loop static feed-forward configuration proposed in [14]. The fuel and oxidant flows are expressed as a percentage of the maximum flow that can be applied to the fuel cell, which is standardized as a control signal denominated fuel flow ratio.

The stack voltage is described in (4):

(4)

whose parameters {x_k , k = 1..8} are given by

(5)

(6)

(7)

(8)

(9)

(10)

(11)

(12)

while the current density j is defined by:

(13)

(14)

The fuel cell voltage, current, power and temperature, are given by V_fc, I_st, P_st, and T_st, respectively; and the oxygen cathode and hydrogen anode pressures are given by and . The effective fuel cell area, A_fc, is included to model the effect of the anode water accumulation on the voltage, and it depends on the nominal fuel cell area A⁰_fc and on a mass fraction of the liquid water present in the anode . The currents and voltages of the experimental operating points, {(p_ki, p_kv) , k = 1..4}, are used to model the fuel cell, and , , T⁰_st define a nominal operating point where , , and a₁ are measured.

A detailed description and validation of this physical model can be found in [13], where thermal and fluid dynamics are also taken into account.

The polarization and power curves of the fuel cell and the model are presented in Figs. 4(a) and 4(b), for 95 %, 75 %, 55 %, 45 %, and 35 % fuel flow ratios. For the dynamic behavior evaluation, changes in an electrical resistive load connected to the fuel cell were made, and the comparison with the simulations of the model can be observed in Figs. 4(c) and 4(d). In conclusion, the parameterized mathematical model exhibits a satisfactory performance in the reproduction of the static and dynamic behaviors of the selected fuel cell.

Figure 4. Fuel cell model behavior evaluation.

In summary, this model considers the auxiliary systems dynamics, the stack humidity and temperature effects, the fluid dynamics, gas diffusion, and electrochemical reactions inside the stack [13]. Besides these, it describes the static and dynamic behavior of the stack and auxiliary systems of a fuel cell power system. The model is validated by comparing the simulated results with experimental measurements. The thermal and fluid dynamics effects under consideration allow for the analysis of the conditions of flooding and oxygen starvation, and therefore, the design and evaluation of control strategies that consider these undesired conditions.

3. EMULATOR POWER STAGE

Figure 5. Power stage DC/DC converter.

The converter parameters used in this implementation are: L1 = 140 mH, L2 = 140 mH, C1 = 200 mF, and Co = 15 mF.

Disregarding the losses, the set of differential equations that describes the DC/DC converter behavior can be expressed as:

(15)

(16)

(17)

(18)

(19)

Due to the unidirectional implementation of the converter, the steady-state voltage gain in continuous conduction mode is:

(20)

The control loop scheme of the implementation is presented in Fig. 6, where the voltage reference Ref is a discrete signal, v_o is the output voltage, v_od is the output voltage sampled using an analog-to-digital converter (ADC), e is the sampled output voltage error, and d is the duty control signal.

Figure 6. Digital control loop.

From equations (15) to (19), the discrete control-to-output transfer function for the DC/DC converter [16] defined by the previous set of parameters, in the operating point described by {Vg = 12 V, Vo = 5 V, output power = 100 W, switching frequency = 100 kHz, D = 63 %, sampling time = 10 ms}, can be expressed as:

(21)

(22)

Figure 7 shows a simulation of the closed-loop converter response to simultaneous variations in the voltage reference (top) and in the output current (bottom-left). Since the output voltage of the converter is difficult to distinguish from the reference, a zoom showing the waveform of both voltages is provided at the bottom-right graph. The variations of the voltage reference and output current test the closed loop converter in the worst possible case, i.e., high current at low voltage. In the simulation, the power stage exhibits a satisfactory performance at the required conditions.

Figure 7. Controlled converter tracking response.

4. PEM FUEL CELL EMULATOR STRUCTURE

]]> Figure 8. Emulator block diagram.

5. EXPERIMENTAL RESULTS

In the experimental validation of the fuel cell emulator, a Matlab-based system was implemented by using the Real-Time Windows Target ToolBox. The structure of the test and the data-logging system are given in Fig. 10. Through a data acquisition system (DAQ, NI PCI-6024E), a Simulink model defines the output current of the emulator and the control signal for the fuel flow ratio (FF) of the mathematical model. Thus, it is possible to evaluate multiple operating points and different transient conditions. Additionally, the system stores the voltage, current, and fuel flow ratio values from the emulator all the time, and this allows for one to perform further analysis and evaluation of the emulator behavior. Figure 11 depicts a picture of the test system. The test equipment being used, which is the one currently available in our power electronics laboratory, is over-sized and could be replaced by any other that might commonly be available in any electronics laboratory.

]]> Figure 10. Test and data logging system structure.

Figure 11. Fuel-cell digital emulator test system.

Figure 12. Fuel cell emulator dynamic response.

Figure 13. Fuel cell emulator static and dynamic response.

6. CONCLUSIONS

REFERENCES