Double Layer Dynamic Game Bidding Mechanism Based on Multi-Agent Technology for Virtual Power Plant and Internal Distributed Energy Resource
Abstract
:1. Introduction
2. Uncertain Factors Modeling in VPP
2.1. Error Correction Based Fixed Load and DER Output Prediction
- Step 1:
- Pre-process data; cull or correcti bad data in various types of data; and normalizing them.
- Step 2:
- Determine the number of nodes n, l and m of the WNN input layer, the hidden layer, and the output layer according to the original data (where the number of hidden layer nodes adopts an empirical value, that is, the default l = 2n − 1), and determine the maximum iteration (number of times Nmax and iteration accuracy e0).
- Step 3:
- Randomly initialize the weights of the WNN (input layer to implicit layer weight wij and implicit layer to output layer weight wjk) and wavelet basis function related parameters (scaling factor aj and translation factor bj), that is, wij = randn (n,l), wjk = randn (l,m), aj = randn (1,l) and bj = randn (1,l).
- Step 4:
- Initialize the learning rates η1 and η2 of wij and wjk (both defaults to 0.01) and the learning rates η3 and η4 of aj and bj (both default to 0.001).
- Step 5:
- Input the pre-processed data obtained in Step 1 into the WNN. Meanwhile, input the measured data of the sampling period and the obtained neural network output sequence into the ADP correction optimization structure. Obtain network weights w*ij and w*jk with strong fitting ability for the original data and wavelet parameters a*j and b*j.
- Step 6:
- Input the data used for the prediction into the trained WNN network, obtain the predicted value by prediction, calculate the error, and derive the prediction result and analyze it.
2.1.1. Fixed Load Forecast
2.1.2. WT Forecast
2.1.3. PV Forecast
2.2. Demand Response Modeling
2.2.1. Transfer Load
2.2.2. Interruptible Load
2.3. Energy Storage Unit Modeling
3. Double Layer Bidding Model Design Based on Stackelberg Dynamic Game
3.1. Framework Design of Double Layer Bidding Model
3.2. Design of VPP Internal Bidding Model Based on Dynamic Game
3.2.1. Bidding Strategy of Subagent in VPP Internal Market
- (1)
- Step 1: Assuming , the lower triangular matrix A is generated such that M = AAT.
- (2)
- Step 2: Producing mutually independent two-dimensional standard normal distribution random vectors λ = [λα, λβ]T, where λα~N (0, 1), λβ~N (0, 1).
- (3)
- Step 3: [αij, βij]T = [μα,ij, μβ,ij]T + Aλ.
3.2.2. VPP Internal Day-Ahead Market Clearing
- (1)
- Power balance constraints
- (2)
- Power constraints for WT and PV
- (3)
- Power constraints for DE
- (4)
- Capacity constraints for ES devices
- (5)
- Charging and discharging constraints for ES devices
3.2.3. Model Solving
3.3. VPP Dynamic Fame Bidding Model Based on Multi-Agent Technology
3.3.1. Model Establishing
- (1)
- Low and high output constraints
- (2)
- System Power Balance ConstraintsTo ensure the feasibility of clearing results and prevent the occurrence of trend overruns, DC currents is used to carry out safety checks on the lines, as shown in Equations (36) and (37).
3.3.2. Dynamic Game Process
4. Case Study
4.1. Case Description
4.2. VPP Internal Bidding Results
4.3. Auction Result of VPP in the Day-Ahead Market
5. Discussion
6. Conclusions
Author Contributions
Funding
Conflicts of Interest
Abbreviations
VPP | Virtual power plant |
DER | Distributed energy resource |
TC | Trading left |
PSA | Particle swarm algorithm |
WNN | Wavelet neural network |
DG | Distributed generation |
MG | Micro grid |
EV | Electric vehicle |
WT | Wind turbine |
PV | Photovoltaic |
ES | Energy storage |
DSR | Demand side resource |
DE | Diesel generator |
TL | Transfer load |
IL | Interruptible load |
TP | Time-sharing price |
GA | Genetic algorithm |
UCP | Uniform clearing price |
VPPCC | VPP left Controller |
ND | Normal distribution |
MCS | Monte Carlo simulation |
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Type | Rated Capacity/kW | Maximum Power/kW | Minimum Power/kW | Cost/(¥/kW) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
VPPA | VPPB | VPPC | VPPA | VPPB | VPPC | VPPA | VPPB | VPPC | ||
DE | 180 | 120 | 180 | 180 | 120 | 180 | 0.56 | |||
ES | 100 | 60 | 60 | 65 | 38 | 38 | −15 | −15 | −15 | 0.98 |
Quotation/¥ | Winning Bids/kW | Profit/¥ | Clearing Price/¥ | ||
---|---|---|---|---|---|
VPPA | DE1 | 10.68 | 135 | 513 | 10.68 |
ES1 | 13.60 | 15 | 6 | ||
PV1 | 11.11 | 100 | 200 | ||
WT1 | 10.72 | 60 | 84 | ||
VPPB | DE2 | 10.88 | 105 | 375 | 10.88 |
ES2 | 13.56 | 8 | 14 | ||
WT2 | 12.59 | 80 | 171 | ||
VPPC | DE3 | 11.01 | 115 | 449 | 10.59 |
ES3 | 13.35 | 8 | 10 | ||
PV2 | 10.59 | 75 | 209 |
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Gao, Y.; Zhou, X.; Ren, J.; Wang, X.; Li, D. Double Layer Dynamic Game Bidding Mechanism Based on Multi-Agent Technology for Virtual Power Plant and Internal Distributed Energy Resource. Energies 2018, 11, 3072. https://doi.org/10.3390/en11113072
Gao Y, Zhou X, Ren J, Wang X, Li D. Double Layer Dynamic Game Bidding Mechanism Based on Multi-Agent Technology for Virtual Power Plant and Internal Distributed Energy Resource. Energies. 2018; 11(11):3072. https://doi.org/10.3390/en11113072
Chicago/Turabian StyleGao, Yajing, Xiaojie Zhou, Jiafeng Ren, Xiuna Wang, and Dongwei Li. 2018. "Double Layer Dynamic Game Bidding Mechanism Based on Multi-Agent Technology for Virtual Power Plant and Internal Distributed Energy Resource" Energies 11, no. 11: 3072. https://doi.org/10.3390/en11113072