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International Journal of Engineering and Management Research e-ISSN: 2250-0758 | p-ISSN: 2394-6962
Volume-10, Issue-2 (April 2020)
www.ijemr.net https://doi.org/10.31033/ijemr.10.2.16
135 This work is licensed under Creative Commons Attribution 4.0 International License.
Using Parallel Diesel Generator and Fuel Cell as an Islanded Microgrid
Navid Jalilvand
Master’s Student, Department of Electrical Engineering, Clausthal University of Technology, GERMANY
Corresponding Author: n.jalilvand@gmail.com
ABSTRACT
By improving technology for extracting higher
produced power from Renewable Energy Resources (RES), and
reducing CO2 emission, a new concept called Microgrid has
been introduced in the electrical systems. The microgrid is an
integration of loads and RES which can work independently
and interconnected to the grid. In this paper, a microgrid with
two different sources Diesel Generator and Fuel Cell is
presented. Conventional droop control is responsible to deliver
power to the load. The detailed design and simulated systems
for Diesel Generator and Fuel Cell are given and extracting the
droop controller is shown. The effectiveness of the presented
system is validated in the MATLAB/Simulink environment.
Keywords— Diesel Generator, Fuel Cell, Islanded
Microgrid, Droop Controller
I. INTRODUCTION
The concept of a microgrid is defined as a cluster of
sources that most of them are renewable energies such as
wind, solar, fuel cell and nonrenewable resources such as
Combined Heat and Power (CHP) systems, and diesel
generator and different types of loads like domestic or
commercial. Microgrids are a new concept in the electrical
modern system [1-2]. A new concept will have lots of issues
that should be solved. Several aspects such as cost,
environment, optimization, interconnecting new facilities,
different topologies, power quality and so on. The
mentioned issues have been considered in recent research in
recent decades. But, other factors such as forecasting or
numerical issues based on economic models need to be
considered soon [3-7].
The microgrid for delivering power sufficiently to
the load should be controlled. Therefore, two different
modes of operation have been introduced for them
interconnected and islanding. The islanding condition is
expressed as a time when the sources of microgrid should
provide the load without the upstream grid. Several control
strategies for a microgrid in islanding mode has been
categorized such as
 Communication-Based Control Techniques
In communication-based control systems, the
perfect voltage regulation will be achievable. Furthermore,
they can deliver the output voltage and frequency in desire
ranges without secondary control. Nevertheless, they need
communication lines and it can add more communication
lines and add more cost. Several communication-based
control techniques are used nowadays:
Figure (1): A view of defined microgrid
Concentrated/Central Control
The Phase Locked-Loop (PLL) unit ensures the
consistency of output frequency and voltage. In the case of
parallel DGs this method will control currents among DGs,
and control currents of DGs with adding adequate error. In
fact, DGs track average current to achieve equal currents.
Master/Slave Control
In this control strategy, the initial starting unit
works as a master inverter and other inverters work as the
slave units. The slave units track the current reference which
is provided by the master inverter.
Distributed Control
The principle of this control system is based on the
instantaneous average current. Every individual parallel unit
has a special controller and no central controller any longer
is needed
 Droop Characteristic-Based Techniques
The droop control strategy is using as a prominent
controller for microgrid because of simplicity and they don’t
need communication [8-11]. Figure (1) shows a microgrid
International Journal of Engineering and Management Research e-ISSN: 2250-0758 | p-ISSN: 2394-6962
Volume-10, Issue-2 (April 2020)
www.ijemr.net https://doi.org/10.31033/ijemr.10.2.16
136 This work is licensed under Creative Commons Attribution 4.0 International License.
including diesel generator, Direct Methanol Fuel Cells
(DMFC) and load. In this work, a droop controller has been
applied to inverters of two resources to deliver desire power
from the sources to the load. The simulation result of the
designed microgrid is done in MATLAB/SIMULINK
environment to verify the effectiveness of the simulation.
II. DIRECT METHANOL FUEL CELLS
Fuel cells are the new generation of renewable
energy resources that are used these days as a part of
microgrids. Different types of fuel cells are as follows:
 Polymer electrolyte membrane fuel cells
 Direct methanol fuel cells
 Alkaline fuel cells
 Phosphoric acid fuel cells
 Molten carbonate fuel cells
 Solid oxide fuel cells
 Reversible fuel cells [12]
Among all the above types, the Direct Methanol Fuel
Cells (DMFC) type has been considered and simulated based
on the given equations. DMFC has several advantages such
as low price and ability to match with distribution systems,
and a high level of energy density turn them as a reliable and
attractive source for microgrids. The other point which is
worthy to mention is they don’t need any external source to
connect for providing long term power. In remote areas,
there is a need for a source that has refuel capability.
(1)
(2)
The electrical model has been introduced by
authors in [13]. The below figure shows the equivalent
electrical circuit for DCMF. The below equation is
calculated based on the equivalent circuit of MDFC for cell
voltage. While Faraday’s law gives the current equation.
DMFC can present this capability. However, some
drawbacks such as quick degradation should be solved. The
presented model of DMFC in this paper is included of two
Gibbs reactors for anode and cathode ports and they will be
separated by a splitter. Nernst equation can describe the
maximum voltage of cell and Faraday’s law for current
density as above equations [12-13].
III. DIESEL GENERATOR
Today, regarding greenhouse gas policies, diesel
generators are connected to wind power plants to generate
electric power in remote areas of the world. The hybrid
diesel-wind energy system is being used by the Canadian
government in Quebec State as a trusted solution to provide
power for areas that are far from networks in the north of the
state.
Figure (2): An equivalent electrical circuit for DMFC [12]
A diesel power plant has been designed to feed an
isolated and stable load which is stable in a variety of load.
While it can be unstable when connected in parallel with a
continuously fluctuating such as wind generator or a
synchronous generator for displaying diesel. The
synchronous generator is usually used for simulating diesel
generator and surveying its performance [13].
As with many electromechanical systems, electrical
power generation system, a diesel generator set can be
divided into three main parts: 1. a Permanent Mover
consisting of a motor and a speed governor 2. Synchronous
generator. 3. Automatic voltage regulator. Governor can
create a stable operating speed for the variable condition of
loads, and it stabilizes the produced voltage.
(3)
(4)
(5)
(6)
 Synchronous generator
The SG is modeled in a d‐ q frame (11‐ 14) are
equations that define the dynamics model of the
International Journal of Engineering and Management Research e-ISSN: 2250-0758 | p-ISSN: 2394-6962
Volume-10, Issue-2 (April 2020)
www.ijemr.net https://doi.org/10.31033/ijemr.10.2.16
137 This work is licensed under Creative Commons Attribution 4.0 International License.
synchronous generator, (15‐ 16) are the equations which
represent the dynamics of the exciter [13-15].
(7)
(8)
The (17) represents the dynamics of the turbine
governor.
(9)
Below figures is shown also simulation of Diesel,
Governor and Excitation system model [10-11].
Figure: Diesel engine and governor model
III. DROOP CONTROL
The droop control concept has been achieved by
below equations where the inverter voltage is . This
voltage tries to deliver the produced power to the grid with
the voltage by impedance.
The real both active power P and reactive power Q
obtained by the utility created by [4] as
Figure (3): Diesel Generator model in Simulink
` (10)
(11)
Where the difference between the phases and is
described as the power angle. By considering the impedance
of inductive equations will change as
(12)
(13)
The Power angle is assumed as a small value. So
(14)
International Journal of Engineering and Management Research e-ISSN: 2250-0758 | p-ISSN: 2394-6962
Volume-10, Issue-2 (April 2020)
www.ijemr.net https://doi.org/10.31033/ijemr.10.2.16
138 This work is licensed under Creative Commons Attribution 4.0 International License.
(15)
Where the reference voltage E* is called and the
frequency reference ω*. the produced voltage will be
presented by E, and as the generated frequency as ω. the
coefficients for the droop controller are given as n and m
which can be uncovered base on the capacity of [19] – [20].
TABLE I
PARAMETERS
VARIABLES Values
Voltage rms
Frequency
Lf
CF
FC Active Power
DG Active Power
FC Reactive Power
DG Reactive Power
Load
320 (V)
5 HZ
35 mh
3µf
10 KW
8 KW
1 Kvar
1 Kvar
16 KW, 2 Kvar
IV. SIMULATION RESULTS
Table (1) presents the parameters for defined
microgrids. Based on those values load will be fed by
resources. Figure (5) shows the simulated microgrid in the
MATLAB/Simulink environment which gives a great tool
for designing and model of microgrids.
The simulation results are presented in (6-8). The
inverters successfully convert the DC voltage from the FC
and DG rectifier into three phases voltage and current in
island mode operation. The main point to be mentioned is
the capability of the system to maintain the right voltage and
frequency applied to the load while delivering all the
required power the goal for the DCMF with a droop
controller. is to provide 8kw for load and the goal here is to
provide 8kw for load Injected of Diesel Generator.
Figure (6), (7) depicts the: Produced Active and
Reactive power and current and voltage by Fuel Cell and
Diesel Generator. While the Provided Active and Reactive
power for the load with an acceptable range of current and
voltage is given in Figure (8).
Figure (4): Simulated droop control strategy
International Journal of Engineering and Management Research e-ISSN: 2250-0758 | p-ISSN: 2394-6962
Volume-10, Issue-2 (April 2020)
www.ijemr.net https://doi.org/10.31033/ijemr.10.2.16
139 This work is licensed under Creative Commons Attribution 4.0 International License.
Figure (6): Produced Active and Reactive power and current
and voltage by Fuel Cell
Figure (7): Produced Active and Reactive power and current
and voltage by Diesel Generator
Figure (5): Simulated Microgrid in SIMULINK
International Journal of Engineering and Management Research e-ISSN: 2250-0758 | p-ISSN: 2394-6962
Volume-10, Issue-2 (April 2020)
www.ijemr.net https://doi.org/10.31033/ijemr.10.2.16
140 This work is licensed under Creative Commons Attribution 4.0 International License.
Figure (8): Provided Active and Reactive power for the load
with acceptable range of current and voltage
V. CONCLUSION
In this research, an islanding microgrid including a
diesel generator and the Direct Methanol Fuel Cells (DMFC)
has the resources and a load is designed. The diesel
generator with its systems and power electronic interfaces
such as rectifier, filters, and inverter were explained
comprehensively. The sources were responsible to deliver
pre-defined powers to the load. A conventional droop
controller was used to supervise the power delivery process.
The designed model was simulated in the
MATLAB/Simulink environment and the desire results were
achieved.
REFERENCES
[1] https://building-microgrid.lbl.gov/about-microgrids.
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Microgrids and active distribution networks. London, U.K.:
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[3] Amir Ghaedi, Saeed Daneshvar Dehnavi, & Hadi
Fotoohabadi. (2016). Probabilistic scheduling of smart
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DOI: 10.3233/IFS-162199.
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(2020). Option pricing with mixed lévy subordinated price
process and implied probability weighting function. The
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[6] S. Daneshvar Dehnavi & E. Shayani. (2015).
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[7] C. Negri, S. Daneshvardehnavi, & M. Giesselmann.
(2019). Dynamic modeling of pulsed alternators using
ltspice. In IEEE Pulsed Power & Plasma Science (PPPS),
Orlando, FL, USA, pp. 1-4.
[8] H. Han, X. Hou, J. Yang, J. Wu, M. Su, & J. M. Guerrero.
(2016). Review of power sharing control strategies for
islanding operation of AC microgrids. In IEEE Transactions
on Smart Grid, 7(1), 200-215.
[9] Pecas Lopes J.A., Moreira C.L., & Madureira A.G.
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[10] T. L. Vandoorn, J. D. M. De Kooning, & B. Meersman.
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[11] D. Shanxu, M. Yu, & X. Jian. (1999). Parallel operation
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[12] https://www.energy.gov/eere/fuelcells/types-fuel-cells.
[13] Anna Trendewicz & Jarosław Milewski. (2012). An
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[14] J. Milewski, Mathematical model of SOFC for complex
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Seung-Ki Sul. (2008). Design of speed control loop of a
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[16] R. Wamkeue, F. Baetscher, & I. Kamwa. (2008). Hybrid
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[17] Bollman A.M. (2009). An experimental study of
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[18] Chung I.Y., Liu W., Cartes D.A., Collins E.G., & Moon
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International Journal of Engineering and Management Research e-ISSN: 2250-0758 | p-ISSN: 2394-6962
Volume-10, Issue-2 (April 2020)
www.ijemr.net https://doi.org/10.31033/ijemr.10.2.16
141 This work is licensed under Creative Commons Attribution 4.0 International License.
distributed generators in a microgrid system. IEEE Trans. on
Industry Applications, 46(3), 1078-1088.
[19] Brabandere K.D., Bolsens B., Van Den keybus J.,
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Using Parallel Diesel Generator and Fuel Cell as an Islanded Microgrid

  • 1. International Journal of Engineering and Management Research e-ISSN: 2250-0758 | p-ISSN: 2394-6962 Volume-10, Issue-2 (April 2020) www.ijemr.net https://doi.org/10.31033/ijemr.10.2.16 135 This work is licensed under Creative Commons Attribution 4.0 International License. Using Parallel Diesel Generator and Fuel Cell as an Islanded Microgrid Navid Jalilvand Master’s Student, Department of Electrical Engineering, Clausthal University of Technology, GERMANY Corresponding Author: n.jalilvand@gmail.com ABSTRACT By improving technology for extracting higher produced power from Renewable Energy Resources (RES), and reducing CO2 emission, a new concept called Microgrid has been introduced in the electrical systems. The microgrid is an integration of loads and RES which can work independently and interconnected to the grid. In this paper, a microgrid with two different sources Diesel Generator and Fuel Cell is presented. Conventional droop control is responsible to deliver power to the load. The detailed design and simulated systems for Diesel Generator and Fuel Cell are given and extracting the droop controller is shown. The effectiveness of the presented system is validated in the MATLAB/Simulink environment. Keywords— Diesel Generator, Fuel Cell, Islanded Microgrid, Droop Controller I. INTRODUCTION The concept of a microgrid is defined as a cluster of sources that most of them are renewable energies such as wind, solar, fuel cell and nonrenewable resources such as Combined Heat and Power (CHP) systems, and diesel generator and different types of loads like domestic or commercial. Microgrids are a new concept in the electrical modern system [1-2]. A new concept will have lots of issues that should be solved. Several aspects such as cost, environment, optimization, interconnecting new facilities, different topologies, power quality and so on. The mentioned issues have been considered in recent research in recent decades. But, other factors such as forecasting or numerical issues based on economic models need to be considered soon [3-7]. The microgrid for delivering power sufficiently to the load should be controlled. Therefore, two different modes of operation have been introduced for them interconnected and islanding. The islanding condition is expressed as a time when the sources of microgrid should provide the load without the upstream grid. Several control strategies for a microgrid in islanding mode has been categorized such as  Communication-Based Control Techniques In communication-based control systems, the perfect voltage regulation will be achievable. Furthermore, they can deliver the output voltage and frequency in desire ranges without secondary control. Nevertheless, they need communication lines and it can add more communication lines and add more cost. Several communication-based control techniques are used nowadays: Figure (1): A view of defined microgrid Concentrated/Central Control The Phase Locked-Loop (PLL) unit ensures the consistency of output frequency and voltage. In the case of parallel DGs this method will control currents among DGs, and control currents of DGs with adding adequate error. In fact, DGs track average current to achieve equal currents. Master/Slave Control In this control strategy, the initial starting unit works as a master inverter and other inverters work as the slave units. The slave units track the current reference which is provided by the master inverter. Distributed Control The principle of this control system is based on the instantaneous average current. Every individual parallel unit has a special controller and no central controller any longer is needed  Droop Characteristic-Based Techniques The droop control strategy is using as a prominent controller for microgrid because of simplicity and they don’t need communication [8-11]. Figure (1) shows a microgrid
  • 2. International Journal of Engineering and Management Research e-ISSN: 2250-0758 | p-ISSN: 2394-6962 Volume-10, Issue-2 (April 2020) www.ijemr.net https://doi.org/10.31033/ijemr.10.2.16 136 This work is licensed under Creative Commons Attribution 4.0 International License. including diesel generator, Direct Methanol Fuel Cells (DMFC) and load. In this work, a droop controller has been applied to inverters of two resources to deliver desire power from the sources to the load. The simulation result of the designed microgrid is done in MATLAB/SIMULINK environment to verify the effectiveness of the simulation. II. DIRECT METHANOL FUEL CELLS Fuel cells are the new generation of renewable energy resources that are used these days as a part of microgrids. Different types of fuel cells are as follows:  Polymer electrolyte membrane fuel cells  Direct methanol fuel cells  Alkaline fuel cells  Phosphoric acid fuel cells  Molten carbonate fuel cells  Solid oxide fuel cells  Reversible fuel cells [12] Among all the above types, the Direct Methanol Fuel Cells (DMFC) type has been considered and simulated based on the given equations. DMFC has several advantages such as low price and ability to match with distribution systems, and a high level of energy density turn them as a reliable and attractive source for microgrids. The other point which is worthy to mention is they don’t need any external source to connect for providing long term power. In remote areas, there is a need for a source that has refuel capability. (1) (2) The electrical model has been introduced by authors in [13]. The below figure shows the equivalent electrical circuit for DCMF. The below equation is calculated based on the equivalent circuit of MDFC for cell voltage. While Faraday’s law gives the current equation. DMFC can present this capability. However, some drawbacks such as quick degradation should be solved. The presented model of DMFC in this paper is included of two Gibbs reactors for anode and cathode ports and they will be separated by a splitter. Nernst equation can describe the maximum voltage of cell and Faraday’s law for current density as above equations [12-13]. III. DIESEL GENERATOR Today, regarding greenhouse gas policies, diesel generators are connected to wind power plants to generate electric power in remote areas of the world. The hybrid diesel-wind energy system is being used by the Canadian government in Quebec State as a trusted solution to provide power for areas that are far from networks in the north of the state. Figure (2): An equivalent electrical circuit for DMFC [12] A diesel power plant has been designed to feed an isolated and stable load which is stable in a variety of load. While it can be unstable when connected in parallel with a continuously fluctuating such as wind generator or a synchronous generator for displaying diesel. The synchronous generator is usually used for simulating diesel generator and surveying its performance [13]. As with many electromechanical systems, electrical power generation system, a diesel generator set can be divided into three main parts: 1. a Permanent Mover consisting of a motor and a speed governor 2. Synchronous generator. 3. Automatic voltage regulator. Governor can create a stable operating speed for the variable condition of loads, and it stabilizes the produced voltage. (3) (4) (5) (6)  Synchronous generator The SG is modeled in a d‐ q frame (11‐ 14) are equations that define the dynamics model of the
  • 3. International Journal of Engineering and Management Research e-ISSN: 2250-0758 | p-ISSN: 2394-6962 Volume-10, Issue-2 (April 2020) www.ijemr.net https://doi.org/10.31033/ijemr.10.2.16 137 This work is licensed under Creative Commons Attribution 4.0 International License. synchronous generator, (15‐ 16) are the equations which represent the dynamics of the exciter [13-15]. (7) (8) The (17) represents the dynamics of the turbine governor. (9) Below figures is shown also simulation of Diesel, Governor and Excitation system model [10-11]. Figure: Diesel engine and governor model III. DROOP CONTROL The droop control concept has been achieved by below equations where the inverter voltage is . This voltage tries to deliver the produced power to the grid with the voltage by impedance. The real both active power P and reactive power Q obtained by the utility created by [4] as Figure (3): Diesel Generator model in Simulink ` (10) (11) Where the difference between the phases and is described as the power angle. By considering the impedance of inductive equations will change as (12) (13) The Power angle is assumed as a small value. So (14)
  • 4. International Journal of Engineering and Management Research e-ISSN: 2250-0758 | p-ISSN: 2394-6962 Volume-10, Issue-2 (April 2020) www.ijemr.net https://doi.org/10.31033/ijemr.10.2.16 138 This work is licensed under Creative Commons Attribution 4.0 International License. (15) Where the reference voltage E* is called and the frequency reference ω*. the produced voltage will be presented by E, and as the generated frequency as ω. the coefficients for the droop controller are given as n and m which can be uncovered base on the capacity of [19] – [20]. TABLE I PARAMETERS VARIABLES Values Voltage rms Frequency Lf CF FC Active Power DG Active Power FC Reactive Power DG Reactive Power Load 320 (V) 5 HZ 35 mh 3µf 10 KW 8 KW 1 Kvar 1 Kvar 16 KW, 2 Kvar IV. SIMULATION RESULTS Table (1) presents the parameters for defined microgrids. Based on those values load will be fed by resources. Figure (5) shows the simulated microgrid in the MATLAB/Simulink environment which gives a great tool for designing and model of microgrids. The simulation results are presented in (6-8). The inverters successfully convert the DC voltage from the FC and DG rectifier into three phases voltage and current in island mode operation. The main point to be mentioned is the capability of the system to maintain the right voltage and frequency applied to the load while delivering all the required power the goal for the DCMF with a droop controller. is to provide 8kw for load and the goal here is to provide 8kw for load Injected of Diesel Generator. Figure (6), (7) depicts the: Produced Active and Reactive power and current and voltage by Fuel Cell and Diesel Generator. While the Provided Active and Reactive power for the load with an acceptable range of current and voltage is given in Figure (8). Figure (4): Simulated droop control strategy
  • 5. International Journal of Engineering and Management Research e-ISSN: 2250-0758 | p-ISSN: 2394-6962 Volume-10, Issue-2 (April 2020) www.ijemr.net https://doi.org/10.31033/ijemr.10.2.16 139 This work is licensed under Creative Commons Attribution 4.0 International License. Figure (6): Produced Active and Reactive power and current and voltage by Fuel Cell Figure (7): Produced Active and Reactive power and current and voltage by Diesel Generator Figure (5): Simulated Microgrid in SIMULINK
  • 6. International Journal of Engineering and Management Research e-ISSN: 2250-0758 | p-ISSN: 2394-6962 Volume-10, Issue-2 (April 2020) www.ijemr.net https://doi.org/10.31033/ijemr.10.2.16 140 This work is licensed under Creative Commons Attribution 4.0 International License. Figure (8): Provided Active and Reactive power for the load with acceptable range of current and voltage V. CONCLUSION In this research, an islanding microgrid including a diesel generator and the Direct Methanol Fuel Cells (DMFC) has the resources and a load is designed. The diesel generator with its systems and power electronic interfaces such as rectifier, filters, and inverter were explained comprehensively. The sources were responsible to deliver pre-defined powers to the load. A conventional droop controller was used to supervise the power delivery process. The designed model was simulated in the MATLAB/Simulink environment and the desire results were achieved. REFERENCES [1] https://building-microgrid.lbl.gov/about-microgrids. [2] S. Chowdhury, S. P. Chowdhury, & P. Crossley. (2009). Microgrids and active distribution networks. London, U.K.: The Institution of Engineering and Technology. [3] Amir Ghaedi, Saeed Daneshvar Dehnavi, & Hadi Fotoohabadi. (2016). Probabilistic scheduling of smart electric grids considering plug-in hybrid electric vehicles. Journal of Intelligent & Fuzzy Systems, 1-12. DOI: 10.3233/IFS-162199. [4] Shirvani, A., Y. Hu, S. T. Rachev, & F. J. Fabozzi. (2020). Option pricing with mixed lévy subordinated price process and implied probability weighting function. The Journal of Derivatives. DOI: 10.3905/jod.2020.1.102. [5] Shirvani, A. (2020). Stock returns and roughness extreme variations: A new model for monitoring 2008 market crash and 2015 flash crash. Applied Economics and Finance Journal, 7(3), 78-95. [6] S. Daneshvar Dehnavi & E. Shayani. (2015). Compensation of voltage disturbances in hybrid AC/DC microgrids using series converter. Journal of Ciencia & Natura, 37(2), 349-356. [7] C. Negri, S. Daneshvardehnavi, & M. Giesselmann. (2019). Dynamic modeling of pulsed alternators using ltspice. In IEEE Pulsed Power & Plasma Science (PPPS), Orlando, FL, USA, pp. 1-4. [8] H. Han, X. Hou, J. Yang, J. Wu, M. Su, & J. M. Guerrero. (2016). Review of power sharing control strategies for islanding operation of AC microgrids. In IEEE Transactions on Smart Grid, 7(1), 200-215. [9] Pecas Lopes J.A., Moreira C.L., & Madureira A.G. (2006). Definig control strategies for analyzing microgrids islanded operation. In IEEE Transactions on Power Systems, 21(2), 916-924. [10] T. L. Vandoorn, J. D. M. De Kooning, & B. Meersman. (2013 Mar). Review of primary control strategies for islanded microgrids with power-electronic interfaces. Renew. Sustain. Energy Rev., 19, 613–628. [11] D. Shanxu, M. Yu, & X. Jian. (1999). Parallel operation control technique of voltage source inverters in UPS. In Proc. IEEE Int. Conf., Hong Kong, pp. 883–887. [12] https://www.energy.gov/eere/fuelcells/types-fuel-cells. [13] Anna Trendewicz & Jarosław Milewski. (2012). An innovative method of modeling direct methanol fuel cells. Journal of Power Technologies 92(1), 20–26. [14] J. Milewski, Mathematical model of SOFC for complex fuel compositions, in: ICEPAG 2010, 2010. [15] Seung-Hwan Lee, Jung-Sik Yim, Joon-Hwan Lee, & Seung-Ki Sul. (2008). Design of speed control loop of a variable speed diesel engine generator by electric governor. In IEEE Industry Applications Society Annual Meeting, pp. 1–5. DOI: 10.1109/08IAS.2008.202. [16] R. Wamkeue, F. Baetscher, & I. Kamwa. (2008). Hybrid state model-based time-domain identification of synchronous machine parameters from saturated load rejection test records. IEEE Transactions on Energy Conversion, 23(1), 68–77. [17] Bollman A.M. (2009). An experimental study of frequency droop control in a low inertia microgrid. Thesis for the degree of Msc in Electrical and Computer Engineering, University of Illinois. [18] Chung I.Y., Liu W., Cartes D.A., Collins E.G., & Moon S.I. (2010). Control methods of inverter-interfaced
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