Abstract
This paper presents an economical approach to control frequency of an isolated three area hybrid micro grid system (3A-HµGS) with the coordinated participation of plug in electric vehicles (PEVs). In addition to diesel generators, an integration of EV fleets to the micro grid as a dynamic device makes the system more reliable and highly controllable. PEVs are connected to the hybrid system as a source and a load under the scenario of deficit and surplus power respectively. It is thus here used as an economical load frequency controller. The performance of the proposed system with PEVs has been analyzed under the degree of penetration of different renewable energy sources like wind energy, parabolic trough, photovoltaic arrays, and biogas power system in all three different areas respectively. Moreover, artificial intelligence like genetic algorithm, particle swarm optimization, and mine blast algorithm based proportional-integral-derivative controllers are also implemented to contain the system frequency under different circumstances such as load variation, unpredictable change in wind velocity and uncontrolled solar irradiance. Comparative analysis of the dynamic responses and the numerical results of the system with different algorithms ascertain that the coordinated participation of PEVs diminishes the power and frequency deviation of the proposed hybrid micro grid system.









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Abbreviations
- \(R_{1} ,R_{2} {\text{~}}\,{\text{and~}}\,R_{3}\) :
-
Droops in area-1, area-2 and area-3 respectively
- \(B_{{1,}} B_{2} {\text{~}}\) and \(B_{3}\) :
-
Frequency bias constants of area-1, area-2 and area-3 respectively
- \(T_{{12}} ,~T_{{13}} ,~\,{\text{~and}}\,~T_{{23}}\) :
-
Coefficient of synchronization between area-1 & 2, area-1 & 3, and area-2 & 3 respectively
- \(\Delta F_{1} ,\Delta F_{2} ,{\text{~}}\) and \(\Delta F_{3}\) :
-
Frequency deviations in area-1, area-2 and area-3 respectively
- \(\Delta P_{{tie~1.2}} ,{\text{~}}\Delta P_{{tie~1.3}} ,{\text{~}}\) and \(\Delta P_{{tie~2,3}}\) :
-
Change in tie line power exchange between area-1 & 2, area-1 & 3, area-2 & 3 respectively
- \(P_{{WT}}\) :
-
Power of wind turbine
- \(\beta {\text{~}}\) :
-
Pitch angle
- \(C_{P}\) :
-
Performance coefficient
- \(\lambda {\text{~}}\) :
-
Tip speed ratio
- \(\rho {\text{~}}\) :
-
Air density (typically ranges from 1.2 to 1.25 kg/m3)
- \(\eta _{{MPPT}}\) :
-
Efficiency of MPPT
- \({\text{A}}\) :
-
Swept area by the rotor blades
- \(v_{W}\) :
-
Wind velocity
- \(c_{1} - c_{8}\) :
-
Constants for each wind turbine/specific
- \(w_{t}\) :
-
Mechanical turbine blade speed
- \(v_{{cut - in}}\), \({\text{~}}v_{{cut - out}}\) :
-
Cut-in wind speed, maximum cut-out wind speed
- \({\text{r}}\) :
-
Radius of swept
- \(v_{{rated}}\) :
-
Nominal wind speed
- \(\Delta v_{W}\) :
-
Change in wind speed
- \(P_{{solar}}\) :
-
Power output of solar PV system
- \(\Delta P_{{solar}}\) :
-
Change in output power of PV system
- \(P_{{PV}}\) :
-
Rated power of solar PV system under standard test condition (STC)
- \(G~\) :
-
Solar radiation for PV arrays in W/m2
- \(G_{{STC}}\) :
-
Reference sun irradiance for PV arrays at STC 1000 (W/m2)
- \(T_{{STC}}\) :
-
Reference temperature (i.e. 25 °C)
- \(K_{t}\) :
-
Constant (≜ − 3.7e-3 (°C − 1))
- \(T_{a}\) :
-
Ambient temperature
- \(\Delta G\), and \(\Delta T_{a}\) :
-
Changes in solar radiation and temperature respectively
- \(K_{{WTG}} ,~K_{{PTC}} ,{\text{~}}K_{{PV,}} K_{{DEG}} ,{\text{~}}\,{\text{and}}~\,K_{{PEV}}\) :
-
Gain of wind turbine generator, parabolic trough solar power, PV arrays, diesel generator, and plug in electric vehicles respectively
- \(T_{{WTG}} ,~T_{{PTC}} ,~{\text{~}}T_{{PV}} ,~T_{{DEG}} ,{\text{~}}~\,{\text{and}}\,~T_{{PEV}}\) :
-
Time constant of wind turbine generator, parabolic trough solar power, PV arrays, diesel generator, and plug in electric vehicles respectively
- \(K_{{P1}} ,~K_{{P2}} ,{\text{~}}~\,{\text{and}}~\,K_{{P3}}\) :
-
Gain of the rotor swing of area-1, area-2, and area-3 respectively
- \(T_{{P1}} ,~T_{{P2}} ,~\,{\text{~and}}\,~T_{{P3}}\) :
-
Time constant of the rotor swing of area-1, area-2, and area-3 respectively
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We are extremely thankful to NIT Silchar which has supported all the way to execute this study.
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Appendix
Appendix
Block name | Transfer function | Values of parameters |
---|---|---|
WTG | \(\frac{{{\text{K}}_{{{\text{WTG}}}} }}{{1 + {\text{ST}}_{{{\text{WTG}}}} }}\) | \({\text{K}}_{{{\text{WTG}}}} = 1,\) \({\text{T}}_{{{\text{WTG}}}} = 1.5\) |
PTC | \(\frac{{{\text{K}}_{{{\text{PTC}}}} }}{{1 + {\text{ST}}_{{{\text{PTC}}}} }}\) | \({\text{K}}_{{{\text{PTC}}}} = 1.8,\) \({\text{T}}_{{{\text{PTC}}}} = 1.8\) |
PV arrays | \(\frac{{{\text{K}}_{{{\text{PV}}}} }}{{1 + {\text{ST}}_{{{\text{PV}}}} }}\) | \({\text{K}}_{{{\text{PV}}}} = 1,\) \({\text{T}}_{{{\text{PV}}}} = 0.03\) |
PEVs | \(\frac{{{\text{K}}_{{{\text{PEV}}}} }}{{1 + {\text{ST}}_{{{\text{PEV}}}} }}\) | \({\text{K}}_{{{\text{PEV}}}} = 1\), \({\text{T}}_{{{\text{PEV}}}} = 1\) |
Valve actuator | \(\frac{1}{{1 + {\text{ST}}_{{\text{V}}} }}\) | \({\text{T}}_{{\text{V}}} = 0.05\) |
Diesel engine | \(\frac{{{\text{K}}_{{\text{E}}} }}{{1 + {\text{ST}}_{{\text{E}}} }}\) | \({\text{K}}_{{\text{E}}} = 1,\) \({\text{T}}_{{\text{E}}} = 0.5\) |
Rotor swing | \(\frac{{{\text{K}}_{{\text{P}}} }}{{1 + {\text{ST}}_{{\text{P}}} }}\) | \({\text{K}}_{{\text{P}}} = 1\), \({\text{T}}_{{\text{P}}} = 3\) |
Synchronizing coefficients | \(\frac{{{\text{T}}_{{12}} }}{{\text{S}}},{\text{~}}\frac{{{\text{T}}_{{13}} }}{{\text{S}}},\frac{{{\text{T}}_{{23}} }}{{\text{S}}}\) | \({\text{T}}_{{12}} = {\text{T}}_{{23}} = {\text{T}}_{{13}} = 1.4\pi\) |
Droops | \({\text{R}}_{1} ,{\text{R}}_{2}\) \({\text{and~R}}_{3}\) | \({\text{R}}_{1} = {\text{R}}_{2} = {\text{R}}_{3} = 0.05\) |
Bias | \({\text{B}}_{{1,}} {\text{B}}_{2} {\text{~and~B}}_{3}\) | \({\text{B}}_{1} = {\text{B}}_{2} = {\text{B}}_{3} = 21\) |
\({\text{K}}_{{1,}} {\text{K}}_{2} {\text{~and~K}}_{3}\) | \({\text{K}}_{1} = - 0.72,\) \({\text{K}}_{2} = - 0.33,\) \({\text{K}}_{3} = - 0.24\) |
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Ranjan, S., Das, D.C., Latif, A. et al. Electric vehicles to renewable-three unequal areas-hybrid microgrid to contain system frequency using mine blast algorithm based control strategy. Int J Syst Assur Eng Manag 12, 961–975 (2021). https://doi.org/10.1007/s13198-021-01180-1
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DOI: https://doi.org/10.1007/s13198-021-01180-1