1. Department of Electrical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China 2. Department of Electrical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
With the continuous development of the spot market, in the multi-stage power market environment with the day-ahead market and right market, the study associated with the portfolio of energy storage devices requires that attention should be paid to transmission congestion and power congestion. To maximize the profit of energy storage and avoid the imbalance of power supply and consumption and the risk of node price fluctuation caused by transmission congestion, this paper presents a portfolio strategy of energy storage devices with financial/physical contracts. First, the concepts of financial/physical transmission rights and financial/physical storage rights are proposed. Then, the portfolio models of financial contract and physical contract are established with the conditional value-at-risk to measure the risks. Finally, the portfolio models are verified through the test data of the Pennsylvania-New Jersey-Maryland (PJM) electric power spot market, and the comparison between the risk aversion of portfolios based on financial/physical contract with the portfolio of the market without rights. The simulation results show that the portfolio models proposed in this paper can effectively avoid the risk of market price fluctuations.
Electrical trading volume through congestion branch
lT
Locational marginal price for injection node
lS
Locational marginal price for load node
cP
Power congestion cost
PS
Power generation and consumption
F
Expected profit set of energy storage in some power trading days
Risk weighting parameter
CVaRα(F)
CVaR of profits
Confidential level
CVaRα(X)
CVaR of expected profits
Expected profit of the day-ahead market
c0
Operation cost per
Actual marginal price in period t
Purchased number in period t
Pmax
Maximum input/output power
Maximum purchase quantity
Pdis
Energy storage input power
Pcha
Energy storage output power
Et
Storage capacity at time t
Emax
Maximum storage capacity
E0
Initial storage capacity
λ
Charging and discharging efficiency of storage
γ
Normal distribution parameter
ε
Normal distribution parameter
E24+ 1
Storage capacity at the beginning of the next operation day.
Einitial
The initial state of energy storage capacity
Bidding or offering in the right market at time t
Th
Time duration of the transaction of storage
MW
The capacity of energy storage
MWh
Power consumption of energy storage
Superscript
DA
Day-ahead market
RT
Real-time market
out
Discharge
in
Charge
gen
Clearing price at the source node
load
Clearing price at the load node
1
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