Abstract
Under the umbrella of a smart grid environment, demand response (DR) is a comprehensive way to make the best use of household energy consumption. DR refers to the rescheduling of household energy consumption in response to the pricing signal received from the utility. Interoperability enables the DR loads to communicate with the utility through a smart meter to plan the energy consumption according to the pricing signal received. This paper presents an exclusive tri-objective model that considers real-time data of different parameters like peak, off-peak demand, and time of use pricing signal and performs optimal scheduling to reduce the overall energy expenses, peak-to-average power ratio (PAPR), and improve the load factor (LF) of the system over the entire horizon. Proposed planning considers the least, and highest priority loads for an optimal implementation of proposed planning. The proposed planning is implemented for a time horizon of 30 days. A price-responsive DR model is effectively implemented based on time of use tariff regulation. Based on predefined parameters, a proposed algorithm shifts the least priority load from peak hours to off-peak hours without disrupting the highest priority. Proposed planning is a Heuristic problem tackled as Mixed integer linear programming, mathematically solved in MATLAB. The results demonstrate that; the proposed planning effectively reduces the cumulative energy expenses by 13.36% for the end customer, improves the LF of the system by 5.11%, and reduces PAPR by 15.22% to improve the stability margin of the system. Finally, sensitivity analysis has been performed based on varying peak tariffs which shows the effectiveness of the proposed approach. The results clarify the effectiveness of the proposed model for both customer and utility ends.
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Abbreviations
- DF:
-
Diversity factor
- DISCOS:
-
Distribution companies
- DLC:
-
Direct load control
- DLc:
-
Distributed load control
- DOS:
-
Daily operation slots
- DR:
-
Demand response
- DSM:
-
Demand-side management
- DAG:
-
Direct acyclic graph
- ECS:
-
Energy consumption scheduler
- EPRI:
-
Electric power research institute
- HPL:
-
Highest priority load
- HV:
-
High voltage
- IBR:
-
Inclining block rates
- ILM:
-
Incentive load management
- LF:
-
Load factor
- LLC:
-
Local load control
- LP:
-
Linear programming
- M.D:
-
Maximum demand
- MUPEM:
-
Multi-utility power exchange model
- MILP:
-
Mixed integer linear programming
- NOA:
-
Number of appliances (i.e., 10)
- PAPR:
-
Peak-to-average power ratio
- PLC:
-
Power line communication
- PEM:
-
Point estimate method
- RES:
-
Renewable energy sources
- RTP:
-
Real-time pricing
- TND:
-
Total number of days
- TOD:
-
Time of day pricing
- TOU:
-
Time of use pricing
- WDOA:
-
Wind-driven optimization algorithm
- \(E_{{{\text{kWh}}}}^{{{\text{FOD}}}}\) :
-
Total energy consumed by all appliances in whole days (i.e., 30)
- \({\text{en}}_{{\text{a}}}^{{\text{h}}}\) :
-
Hourly energy consumed by appliance ‘\(a\)’
- \({\text{en}}_{{\text{a}}}^{{\text{T}}}\) :
-
Energy consumed by appliance ‘\(a\)’ in ‘\(T{\text{th}}\)’ hour
- \({\text{en}}_{{\text{a}}}^{{\text{t}}}\) :
-
Energy consumed by appliance ‘\(a\)’ in current time slot ‘\(t\)’
- \({\text{En}}_{{{\text{kWh}}}}^{{{\text{a}}, {\text{T}}}}\) :
-
Energy consumed by appliance ‘\(a\)’ in daily ‘\(T\)’ slots
- \(L_{{\text{a}}}\) :
-
A total load of appliance ‘\(a\)’
- \(l_{{\text{a}}}^{{\text{T}}}\) :
-
Load of appliance ‘\(a\)’ at ‘\(T{\text{th}}\).’
- \(l_{{\text{a}}}^{{\text{t}}}\) :
-
A load of appliance ‘\(a\)’ in current time slot ‘\(t\)’
- \(L_{{{\text{AA}}}}\) :
-
A load of all appliances (i.e., 10)
- \({\text{M}}.{\text{D}}_{{\text{i}}}\) :
-
Individual maxim demand
- \({\text{M}}_{{{\text{cost}}}}^{{\text{t}}}\) :
-
Total minimized cost in time slot ‘\(a\)’
- \(P_{f}^{{\text{t}}}\) :
-
Energy price rates at time slot ‘\(t\)’
- \(P_{\left( \$ \right)}^{{{\text{kWh}}}}\) :
-
Pricing parameter in dollars
- \({\text{PAPR}}_{{{\text{min}}}}\) :
-
Minimized peak-to-average power ratio
- \(S_{{\text{a}}}^{{\text{t}}}\) :
-
State of appliance ‘\(a\)’ in current time slot ‘\(t\)’
- \(T\) :
-
Daily time slots (i.e., 24)
- \(w_{{\text{a}}}^{{\text{T}}}\) :
-
Power consumption of appliance ‘\(a\)’ in \(T{\text{th}}\) time slot
- \(W_{{\text{a}}}^{{\text{T}}}\) :
-
Total daily power consumption of appliance ‘\(a\)’
- \(w_{{\text{a}}}^{{\text{t}}}\) :
-
Power consumption of individual appliance ‘\(a\)’ in current time slot ‘\(t\)’
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Acknowledgements
Author (s) likes to acknowledge the special support of the National University of Sciences and Technology (NUST), Islamabad, Pakistan, especially for granting access to the smart grid laboratory. Uncommon gratitude to the management of the “U.S.-Pakistan Center for Advanced Studies in Energy (USPCAS-E)” and “Smart grid and power system” laboratory.
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Shahid Nawaz Khan contributed to conceptualization, investigation, methodology, software, validation, visualization, roles/Writing—original draft, and reviewing and formatting
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Khan, S.N. Mutual benefit analysis of price-responsive demand response program for demand-side load management through heuristic algorithm by scheduling of multi-classifier residential unit under TOU tariff regulation. Electr Eng 105, 2825–2844 (2023). https://doi.org/10.1007/s00202-023-01860-0
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DOI: https://doi.org/10.1007/s00202-023-01860-0