Abstract
Given the increasing worldwide energy demand and the growing environmental apprehension regarding the utilization of fossil fuels in power systems, it is critical to implement viable alternatives to resolve this issue. Subsequently, renewable energy sources (RESs), which generate minimal pollution, have become the predominant choice for fulfilling energy requirements. By employing an innovative problem formulation approach, this study proposes reducing costs to attain the most economical overall cost for the grid. Concurrently, there has been a shift in the transportation industry from traditional vehicles propelled by fossil fuels to those that are electrified. Plug-in electric vehicles (PEVs) and plug-in hybrid electric vehicles (PHEVs) have emerged as prominent alternatives and are being embraced at an accelerated rate. By linking to the power grid and utilizing vehicle-to-grid (V2G) and grid-to-vehicle (G2V) innovations, these vehicles can either receive or return energy to the grid. Microgrids (MGs), which are an emerging concept in power systems, seek to optimize the performance of electric vehicles (EVs) through their integration with intelligent infrastructure and to encourage the incorporation of renewable energy sources (RESs). To facilitate the integration of PEVs into the network, the vehicle-to-grid (V2G) capacity is effectively utilized to reduce operational costs. This underscores the criticality of the resource management problem at MG. Unscented transformation (UT), an efficient stochastic programming technique, is utilized in this study's optimization framework to optimize the energy management of MGs (including PEVs and RESs) for the upcoming day. Approaching this issue as a stochastic optimization problem with the sole objective of minimizing the overall operational cost. The problem at hand is resolved by utilizing the modified water strider (MWS) algorithm, an efficient approach inspired by nature. Its efficacy is assessed through a comparative analysis with other documented techniques.
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Abbreviations
- A i :
-
Frequency amplitude (Hz)
- a,b :
-
Wӧhler curve parameters
- C ENS :
-
At the ith bus, the cost of reducing load ($/kW)
- C Bat :
-
A battery's initial investment ($)
- Ct DG ,k :
-
The cost of energy produced by DGs per hour ($/kWh)
- d :
-
Investigated problem's dimension
- DoD i & DoD f :
-
Both the beginning and ending depths of discharge (DOD) in percentage terms
- Cd :
-
The deterioration cost of the battery ($/kWh)
- \({E}_{D,v}^{t}\) :
-
Fleet v's energy to drive at time t (kWh)
- \({E}_{v}^{ini}\) & \({E}_{v}^{fin}\) :
-
Fleet v's initial and ultimate energy availability (kWh)
- \({E}_{v}^{min}\) & \({E}_{v}^{max}\) :
-
Energy stored in the PEV fleet, max and min (kWh).
- Iter :
-
Counter for iterations
- La(i) :
-
Load demand average at node i (kW)
- \(U_{i}^{t}\) :
-
The hour-long duration of the ith component's annual outage.
- m :
-
The quantity of uncertain factors
- N br /N bus :
-
Collection of the system's nodes and branches
- Nv :
-
Collection of electric vehicles
- Ndis :
-
The number of battery cycles
- Nc :
-
Life cycle
- N DG :
-
Collection of DGs.
- Np :
-
Size of the population
- \({P}_{Grid}^{t}\, \& \,{P}_{Grid}^{max}\) :
-
Grid and microgrid power transactions per hour, with an upper limit (kW)
- \({P}_{c,v}^{max}\, \& \,{P}_{c,v}^{min}\) :
-
Power requirements for charging fleet v, highest and lowest (kW)
- \({P}_{d,v}^{max}\, \& \,{P}_{d,v}^{min}\) :
-
Power requirements for discharging fleet v, highest and lowest (kW)
- rand :
-
The function that generates random numbers
- \({V}_{i}^{min}\) & \({V}_{i}^{max}\) :
-
The minimum and maximum values for the magnitude of the voltage at node i (V)
- W k :
-
K, the weighting factor associated with the point in the sample
- Y ij & θij :
-
The impedance's magnitude and phase across nodes i and j
- ηc & ηd :
-
Rates of efficiency while charging and discharging, expressed as a percentage
- μ :
-
The average of the uncertain parameter's value
- Cost Grid :
-
Cost of exchanging energy with the power grid ($).
- Cost PEV :
-
The total cost associated with all of the plug-in electric vehicles ($)
- Cost ENS :
-
Cost of energy not supplied to consumers ($)
- Cost DG :
-
Costs associated with distributed generator generation ($)
- Cost :
-
The whole system cost ($)
- C v :
-
Per hour cost of V2G ($/MWh)
- E bat :
-
Energy available from the battery (kWh)
- \({E}_{v}^{t}\) :
-
Energy available in the fleet v at time t (kWh)
- \({P}_{DG,k}^{t}\) :
-
Power generated by DG k at time t (kW)
- N Cus :
-
Collection of customers serviced
- \({P}_{d,v}^{t}\, \& \,{P}_{c,v}^{t}\) :
-
Power required to discharge the fleet v and charge it (kW)
- \({P}_{i}^{t}\) & \({Q}_{i}^{t}\) :
-
Amount of reactive power and active power inputted onto bus i at time t (kW)
- T :
-
The time a certain value is given for the state of charge (SOC)
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Chen, J., Liu, X. & Karam, I. Short-term economic dispatch incorporating renewable power generations with plug-in electric vehicles considering emissions reduction. Environ Dev Sustain (2024). https://doi.org/10.1007/s10668-024-04899-6
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DOI: https://doi.org/10.1007/s10668-024-04899-6