# Feedforward-Double Feedback Control System of Dual-Switch Boost DC/DC Converters for Fuel Cell Vehicles

^{1}

^{2}

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## Abstract

**:**

## 1. Introduction

## 2. Topology and Working Principle of DC/DC Convertor for Fuel Cell Vehicles

#### 2.1. Topology of Converter

_{1}, K

_{2}; two energy storage inductors L

_{1}, L

_{2}; a diode D, and an output filter capacitor C

_{1}. The two power switch devices are turned on or off simultaneously. The structure is simple, and the boost voltage is relatively high, which can meet the basic requirements of the DC/DC converter for fuel cell vehicles.

_{1}and L

_{2}are equal, and the parameters of the two MOSFETs K

_{1}and K

_{2}are equal and simultaneously turned on or off. In addition, the ON and OFF states of the MOSFETs correspond to different states.

_{1}and L

_{2}, K

_{2}and L

_{1}are connected in parallel with the input power source E to form the first loop. The filter capacitor C

_{1}and load Z constitute a second loop. The turn-on voltage drop of the MOSFET is ignored. Inductors L

_{1}and L

_{2}are equivalent to two current sources, the voltage of which is the input supply voltage E. The direction of voltage and current is the associated reference direction, at which time the inductor absorbs energy. In one cycle T

_{S}, the two switches are turned on for D × T

_{S}, where D is the duty cycle of the PWM. If the inductor current is assumed to be constant, then I

_{L}

_{1}= I

_{L}

_{2}= I

_{L}. The energy absorbed by the inductors L

_{1}and L

_{2}is given by:

_{1}and L

_{2}are connected in series. Energy is supplied to the filter capacitor C

_{1}and the load through the diode D, and the capacitor replenishes energy.

_{1}and L

_{2}, the input power source E, the diode D, the filter capacitor C

_{1}, and the load constitute a loop. The voltage directions of the inductors L

_{1}and L

_{2}are not correlated with the current direction, at which time energy is released. The energy released by each inductor is given by:

#### 2.2. Converter Mode of Operation

_{0}–t

_{1}stage is the ON stage of the K

_{1}and K

_{2}MOSFETs. At this stage, the diode D is in the cut-off state, and the voltage stress is E + U. The voltage at both ends of inductors L

_{1}and L

_{2}is the input voltage E, and the inductor current increases linearly because the filter capacitor supplies energy to the load separately. Therefore, the capacitor voltage is reduced. Taking inductance L

_{1}as an example, the current changes in this state are expressed as follows:

_{S}, the current of inductors L

_{1}and L

_{2}is the maximum, and the current changes as follows:

_{1}is expressed as follows:

_{1}to t

_{2}. Diode D is turned on, and the inductance and input voltage simultaneously provide energy to the load and filter capacitor. At this stage, the inductance current can be expressed as follows:

_{1}will be increased because of the energy supplement. The voltage equation of capacitor C

_{1}is as follows:

## 3. Modeling of DC/DC Converters for Fuel Cell Vehicles

_{L}

_{1}are DC steady-state quantities, and $\widehat{D}$, $\widehat{U}$, $\widehat{E}$, and $\widehat{{I}_{L1}}$ denote the amount of AC small signal disturbance. Substituting Equation (14) into Equation (13) gives:

_{1}is not only affected by self-fluctuation but also by input voltage fluctuation and duty cycle fluctuation.

_{L}

_{1}is:

_{L}

_{1}is:

_{L}

_{1}to output voltage U is:

## 4. Feedforward Compensation of DC/DC Converter-Double Feedback Controller Design

_{C}

_{1}to obtain the reference amount ${I}_{L1\_f}$ of the inductor current. The error e2 of the inductor current with respect to its reference amount passes through the controller G

_{C}

_{2}to obtain the control amount $\stackrel{\wedge}{D}$.

## 5. Simulation and Experimental Results Analysis

## 6. Conclusions

## Author Contributions

## Funding

## Acknowledgments

## Conflicts of Interest

## References

- Zhang, H.; Wang, J. Active Steering Actuator Fault Detection for an Automatically-Steered Electric Ground Vehicle. IEEE Trans. Veh. Technol.
**2017**, 66, 3685–3702. [Google Scholar] [CrossRef] - Kommuri, S.K.; Defoort, M.; Karimi, H.R.; Veluvolu, K.C. A robust observer-based sensor fault-tolerant control for PMSM in electric vehicles. IEEE Trans. Ind. Electron.
**2016**, 63, 7671–7681. [Google Scholar] [CrossRef] - Xu, L.; Fang, C.; Li, J.; Ouyang, M.; Lehnert, W. Nonlinear dynamic mechanism modeling of a polymer electrolyte membrane fuel cell with dead-ended anode considering mass transport and actuator properties. Appl. Energy
**2018**, 230, 106–121. [Google Scholar] [CrossRef] - Chen, J.; Song, Q. A decentralized dynamic load power allocation strategy for fuel cell/supercapacitor -based APU of large more electric vehicles. IEEE Trans. Ind. Electron.
**2019**, 66, 865–875. [Google Scholar] [CrossRef] - Wi, S.M.; Kim, M. Precise control strategy of dual-mode flyback DC/DC converter. IET Power Electron.
**2019**, 12, 220–227. [Google Scholar] [CrossRef] - Wu, Y.; Huangfu, Y.; Ma, R.; Ravey, A.; Chrenko, D. A strong robust DC-DC converter of all-digital high-order sliding mode control for fuel cell power applications. J. Power Sources
**2019**, 413, 222–232. [Google Scholar] [CrossRef] - Bi, H.K.; Wang, P.; Che, Y. A capacitor clamped H-type boost DC-DC converter with wide voltage-gain range for fuel cell vehicles. IEEE Trans. Veh. Technol.
**2019**, 68, 276–290. [Google Scholar] [CrossRef] - Banaei, M.R.; Sani, S.G. Analysis and implementation of a new SEPIC-based single-switch buck-boost DC-DC converter with continuous input current. IEEE Trans. Power Electron.
**2018**, 33, 10317–10325. [Google Scholar] [CrossRef] - Zhang, Y.; Zhou, L.; Sumner, M.; Wang, P. Single-Switch, Wide Voltage-Gain Range, Boost DC-DC Converter for Fuel Cell Vehicles. IEEE Trans. Veh. Technol.
**2018**, 67, 134–145. [Google Scholar] [CrossRef] - Wu, Q.; Wang, Q.; Xu, J.; Xiao, L. Implementation of an Active-Clamped Current-Fed Push-Pull Converter Employing Parallel-Inductor to Extend ZVS Range for Fuel Cell Application. IEEE Trans. Ind. Electron.
**2017**, 64, 7919–7929. [Google Scholar] [CrossRef] - Wang, P.; Zhou, L.; Zhang, Y.; Li, J.; Sumner, M. Input-Parallel Output-Series DC-DC Boost Converter with a Wide Input Voltage Range, For Fuel Cell Vehicles. IEEE Trans. Veh. Technol.
**2017**, 66, 7771–7781. [Google Scholar] [CrossRef] - Sathyan, S.; Suryawanshi, H.; Singh, B. ZVS-ZCS High Voltage Gain Integrated Boost Converter for DC Microgrid. IEEE Trans. Ind. Electron.
**2016**, 63, 6898–6908. [Google Scholar] [CrossRef] - Zheng, Y.; Ho, M.; Guo, J.; Leung, K.N. A Single-Inductor Multiple-Output Auto-Buck-Boost DC-DC Converter with Tail-Current Control. IEEE Trans. Power Electron.
**2016**, 31, 7857–7875. [Google Scholar] [CrossRef] - Rajaei, A.; Khazan, R.; Mahmoudian, M.; Mardaneh, M.; Gitizadeh, M. A dual inductor high step-up DC/DC converter based on the Cockcroft-walton multiplier. IEEE Trans. Power Electron.
**2018**, 33, 9699–9709. [Google Scholar] [CrossRef] - Talebi, S.; Adib, E.; Delshad, M. A high gain soft switching interleaved DC-DC converter. IEICE Trans. Electron.
**2018**, E101-C, 906–915. [Google Scholar] [CrossRef] - An, F.; Song, W.; Yu, B.; Yang, K. Model Predictive Control with Power Self-Balancing of the Output Parallel DAB DC–DC Converters in Power Electronic Traction Transformer. IEEE J. Emerg. Sel. Top. Power Electron.
**2018**, 6, 1806–1818. [Google Scholar] [CrossRef] - Saadatizadeh, Z.; Heris, P.C.; Babaei, E.; Sabahi, M. A new nonisolated single-input three-output high gain converter with low voltage stresses on switches and diodes. IEEE Trans. Ind. Electron.
**2019**, 66, 4308–4318. [Google Scholar] [CrossRef] - Farakhor, A.; Abapour, M.; Sabahi, M. Design, Analysis, and implementation of a multiport DC-DC converter for renewable energy applications. IET Power Electron.
**2018**, 12, 465–475. [Google Scholar] [CrossRef] - Hebala, O.M.; Aboushady, A.A.; Ahmed, K.H.; Abdelsalam, I. Generic Closed-Loop Controller for Power Regulation in Dual Active Bridge DC-DC Converter with Current Stress Minimization. IEEE Trans. Ind. Electron.
**2019**, 66, 4468–4478. [Google Scholar] [CrossRef] - Villarruel-Parra, A.; Forsyth, A.J. Modeling Phase Interactions in the Dual-Interleaved Buck Converter Using Sampler Decomposition. IEEE Trans. Ind. Electron.
**2019**, 66, 3316–3322. [Google Scholar] [CrossRef] - Yang, L.S.; Liang, T.J.; Chen, J.F. Transformerless DC–DC Converters with High Step-Up Voltage Gain. IEEE Trans. Ind. Electron.
**2009**, 56, 3144–3152. [Google Scholar] [CrossRef] - Dhanalakshmi, S.U.R. A Transformerless Boost Converters with High Voltage Gain and Reduced Voltage Stresses on the Active Switches. Int. J. Sci. Res. Publ.
**2014**, 3, 1–8. [Google Scholar] - Li, X.; Ruan, X.; Jin, Q.; Sha, M.; Tse, C.K. Small-Signal Models with Extended Frequency Range for DC–DC Converters with Large Modulation Ripple Amplitude. IEEE Trans. Power Electron.
**2017**, 33, 8151–8163. [Google Scholar] [CrossRef] - Zhang, K.; Shan, Z.; Jatskevich, J. Large- and Small-Signal Average Value Modeling of Dual-Active-Bridge DC–DC Converter Considering Power Losses. IEEE Trans. Power Electron.
**2016**, 32, 1964–1974. [Google Scholar] [CrossRef] - Villarruel-Parra, A.; Forsyth, A.J. Enhanced Average-Value Modeling of Interleaved DC-DC Converters Using Sampler Decomposition. IEEE Trans. Power Electron.
**2016**, 32, 2290–2299. [Google Scholar] [CrossRef]

**Figure 4.**Relationship between the boost ratio of a dual-switch boost converter and duty cycle of MOSFET switch.

**Figure 13.**Output voltage response when two different control strategies are used to handle input voltage disturbance. (

**a**) Voltage feedback control system; and (

**b**) feedforward-double feedback control system.

**Figure 14.**System output response under different control strategies. (

**a**) Voltage feedback control system output; (

**b**) feedforward-double feedback control system output; and (

**c**) sliding mode control system output.

**Figure 17.**System output response under different control strategies. (

**a**) Voltage feedback control system output; and (

**b**) feedforward-double feedback control system output.

Name | Parameter |
---|---|

MOSFET (IFR640N) | Breakdown voltage V_{DSS} 200 V |

Conducted resistance R_{DS} (on) 0.15 Ω | |

Source current I_{S} 18 A | |

Diode (DFE 10 I 600PM) | Maximum reverse voltage V_{RRM} 600 V |

Forward voltage drop V_{F} 1.5 V | |

Conduction internal resistance r_{F} 28.7 mΩ | |

Inductance | 3.5 mH |

Capacitance | 47 μF |

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## Share and Cite

**MDPI and ACS Style**

Wu, X.; Yu, B.; Du, J.; Shi, W.
Feedforward-Double Feedback Control System of Dual-Switch Boost DC/DC Converters for Fuel Cell Vehicles. *Energies* **2019**, *12*, 2886.
https://doi.org/10.3390/en12152886

**AMA Style**

Wu X, Yu B, Du J, Shi W.
Feedforward-Double Feedback Control System of Dual-Switch Boost DC/DC Converters for Fuel Cell Vehicles. *Energies*. 2019; 12(15):2886.
https://doi.org/10.3390/en12152886

**Chicago/Turabian Style**

Wu, Xiaogang, Boyang Yu, Jiuyu Du, and Wenwen Shi.
2019. "Feedforward-Double Feedback Control System of Dual-Switch Boost DC/DC Converters for Fuel Cell Vehicles" *Energies* 12, no. 15: 2886.
https://doi.org/10.3390/en12152886