# Robust Hierarchical Control Design for the Power Sharing in Hybrid Shipboard Microgrids

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## Abstract

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## 1. Introduction

- We present a SMC based technique for droop control in AC/DC hybrid SMGs under different operating conditions, employing a bidirectional control method of IC.
- A robust loop controller with a power management strategy is anticipated that monitors voltage and frequency fluctuations in AC/DC SMGs using IC as a bidirectional power transmission module.
- In this research study, we compare the performance characteristics of AC and DC secondary controls in hybrid microgrids for shipboard application.
- A hierarchical primary and secondary controller is employed on ICs, which are used between AC and DC microgrids to mitigate non-linearities during power fluctuations.
- Secondary controllers include PI controllers and SMCs. We compare the performance characteristics of secondary controller schemes.

## 2. Problem Formulation

#### 2.1. AC Microgrid Modeling

#### 2.2. DC Microgrid Modeling

#### 2.3. Battery Energy Storage Systems

#### 2.4. Solar Energy Modeling

#### 2.5. Incremental Conductance MPPT Algorithm

## 3. Controller Design

- the primary objectives are recognized and achieved
- they can provide global optimal decisions/solutions.
- their synchronization with the primary utility is simple, and they can be run online efficiently.

- they are suitable for rapidly changing infrastructures
- they can be easily expanded due to their high plug-and-play capabilities.
- their reliability is high.
- their communication and computational costs are relatively low.

#### 3.1. Droop Control

#### 3.2. Modeling of Voltage Source Converter

#### 3.3. Proposed Secondary Controller Design and Analysis

## 4. Simulation Results

#### 4.1. Case 1: Power Flow from DC to AC; Then AC to DC Side

#### 4.2. Case 2: Power Flow from AC to DC; Then DC to AC Side

#### 4.3. Case 3: Step Load Increment When Power Flow from AC to DC Side

#### 4.4. Case 4: Step Load Increment When Power Flow from DC to AC Side

#### 4.5. Case 5: Dynamical Load Analysis

## 5. Conclusions

## Author Contributions

## Funding

## Data Availability Statement

## Conflicts of Interest

## References

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**Figure 7.**Proposed hierarchical controller block diagrams. (

**a**) Proposed secondary controller design. (

**b**) Primary current controller design.

Parameters | Description | Rating |
---|---|---|

f | Frequency | 50 Hz |

${P}_{dc,load}$ | DC Load power | 1 kW + 1.5 kW |

${P}_{ac,load}$ | AC Load power | 1 kW × 3 |

${Q}_{ac,load}$ | AC Load power | 0.5 kVAR × 3 |

${v}_{dc,s}$ | DC source voltage | 550 volts |

${v}_{ac,s}$ | AC source voltage | 400 volts |

${L}_{f}$ | Filter inductance | 4 $\mathsf{\mu}$H |

${C}_{f}$ | Filter capacitance | 500 $\mathsf{\mu}$F |

${f}_{s}$ | Switching frequency | 2 kHz |

${R}_{ac,line},{L}_{ac,line}$ | line impedance | 0.8 $\mathsf{\Omega}$, 1.5 $\mathsf{\mu}$mH |

${R}_{dc,line}$ | DC line impedance | 0.50 $\mathsf{\Omega}$ |

Parameters | Description | Values |
---|---|---|

m | $w-P$ droop | 0.3 |

n | $v-Q$ droop | 0.2 |

${k}_{1},\phantom{\rule{3.33333pt}{0ex}}{k}_{2}$ | Secondary gains | 1, 2 |

${K}_{p}$ | Proportional gain | 0.5 |

${k}_{i}$ | integral gain | 7 |

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## Share and Cite

**MDPI and ACS Style**

Alam, F.; Haider Zaidi, S.S.; Rehmat, A.; Mutarraf, M.U.; Nasir, M.; Guerrero, J.M.
Robust Hierarchical Control Design for the Power Sharing in Hybrid Shipboard Microgrids. *Inventions* **2023**, *8*, 7.
https://doi.org/10.3390/inventions8010007

**AMA Style**

Alam F, Haider Zaidi SS, Rehmat A, Mutarraf MU, Nasir M, Guerrero JM.
Robust Hierarchical Control Design for the Power Sharing in Hybrid Shipboard Microgrids. *Inventions*. 2023; 8(1):7.
https://doi.org/10.3390/inventions8010007

**Chicago/Turabian Style**

Alam, Farooq, Syed Sajjad Haider Zaidi, Arsalan Rehmat, Muhammad Umair Mutarraf, Mashood Nasir, and Josep M. Guerrero.
2023. "Robust Hierarchical Control Design for the Power Sharing in Hybrid Shipboard Microgrids" *Inventions* 8, no. 1: 7.
https://doi.org/10.3390/inventions8010007