Strana 22 z 48
Poznámky redaktora
“Centralized MPC for Home Energy Management
With Mobile Energy Storage Unit. (2023): 1996–2007.g. Link
Control Strategies V2H Operation
Description Mathematics
Optimizes household
electricity cost using
bidirectional V2H operation
by shifting discharge to
high-tariff hours and
charging low-tariff hours,
ensuring SoC and power
constraints are met. “Household Electricity Cost Optimization with Vehicle-to-Home
Technology and Mixed-Integer Linear Programming.PAGE VEHICLE-TO-HOME (V2H) SYSTEMS
HANDBOOK
78
7
Seal, Sayani, Debraj Chakraborty, Saikat Sinha, and Aurobinda Routray.g.
IEEE, 2023., hour)
Linear
Programming
(LP)7
Objective: min 𝐶𝑡(𝐸𝑡
ℎ𝑜𝑢𝑠𝑒
+ 𝐸𝑡
𝐸𝑉,𝑐ℎ𝑎
)
Power balance: 𝜂𝑑𝑖𝑠𝐸𝑡
𝐸𝑉,𝑑𝑖𝑠
≤ 𝐸𝑡
ℎ𝑜𝑢𝑠𝑒,𝑑𝑒𝑚
Charge/ discharge limits:
𝐸𝑡
𝐸𝑉,𝑐ℎ𝑎
≤ 𝑃𝑐ℎ𝑎𝜏𝑡, 𝐸𝑡
𝐸𝑉,𝑑𝑖𝑠
≤ 𝑃𝑑𝑖𝑠𝜏𝑡(1 𝑧𝑡)
SoC Constraints:
𝑆𝑜𝐶𝑚𝑖𝑛 𝑆𝑜𝐶𝑡 𝑆𝑜𝐶𝑚𝑎𝑥, 𝑆𝑜𝐶𝑇 𝑆𝑜𝐶𝑚𝑎𝑥
Binary Constraint: {0,1}
Model
Predictive
Control
(MPC)8
Forecast-based control that
minimizes electricity cost
and SoC fluctuations over
a prediction horizon while
respecting system
constraints V2H setup.” IEEE Transactions Sustainable Energy 14, no.5 kWh)
𝑃𝑐𝑎𝑝: Max charge power (7.” 2023 International Conference Future Energy Solutions (FES), 1–5.3𝐸𝑚𝑎𝑥 ⇒
𝑃𝐸𝑉⟶𝐻𝑜𝑚𝑒(𝑡) min(𝑃𝑐𝑎𝑝, 𝐷(𝑡))
𝐸(𝑡): SoC time 𝑡
𝐸𝑚𝑎𝑥: battery capacity (57.2 kW)
𝐷(𝑡): Household demand
𝜂: Charger efficiency (e. Link
8
Einolander, Johannes, Annamari Kiviaho, and Risto Lahdelma.
Rule-Based
Optimization
(Tariff-Aware
Scheduling)6
Discharging Rule (Peak Time):
If [17:00,19: 00] and 𝐸(𝑡) 0.
Objective: min ቂ𝑤1 𝐶𝑡𝑃𝑡
𝑔𝑟𝑖𝑑
−
𝑤2 𝐶𝑡𝑃𝑡
𝑒𝑥𝑝𝑜𝑟𝑡
+ Δ𝑆𝑜𝐶𝐸𝑉 Δ𝑆𝑜𝐶𝐵 +
𝑤5 σ൫𝑇𝑜𝑝 𝑇𝑏𝑜𝑢𝑛𝑑൯
2
+ σห𝑇𝑜𝑝 𝑇𝑠𝑒𝑡หቃ
SoC bounds: 0.3 𝑆𝑜𝐶𝑡
𝐸𝑉
≤ 0., 90%)
Δ𝑡: Time step (e.9
Power flow:
EV⟷Grid, EV⟷Home, EV⟷Battery
HVAC temperature limits: 𝑇𝑜𝑝
𝑖
∈ [𝑇𝑙𝑏
𝑖
, 𝑇𝑢𝑏
𝑖
]
𝑃𝑔𝑟𝑖𝑑: Grid Import Power
𝑃𝑒𝑥𝑝𝑜𝑟𝑡: Grid Export Power
𝑆𝑜𝐶𝐸𝑉: Battery SoC
𝑆𝑜𝐶𝐵: Home Battery SoC
𝑇𝑜𝑝: Indoor Room Temperature
𝑇𝑏𝑜𝑢𝑛𝑑: Comfort Temperature Limit
𝑇𝑠𝑒𝑡: Desired Set Temperature
𝑤1 𝑤6: MPC Cost Weights
