Distributed Low-Carbon Economic Dispatch for Integrated Energy System Based on Homomorphic Encryption

doi:10.11930/j.issn.1004-9649.202404069

Abstract

Abstract:

To address the privacy leakage problem in the distributed scheduling process of the integrated energy system (IES), a fully consensus low-carbon economic dispatching method based on homomorphic encryption is proposed with consideration of the power-constrained characteristics of the distributed scheduling nodes. Firstly, based on the power analysis of supply units and energy-use loads in the system, a dispatching model of energy system with comprehensive economic and low-carbon performance is established, and a fully-distributed consensus low-carbon economic dispatching algorithm is proposed by introducing the supply-demand mismatch state estimation variables. And then, the homomorphic cryptography is used to design the state exchange strategy to ensure that the nodes safely exchange information with neighbors without disclosing their private data. Also, the homomorphic cryptography technology allows operations to be performed directly on the ciphertext and ensures that the decrypted results are consistent with the direct computation results of the plaintext, thus ensuring the accuracy of the low-carbon economic scheduling. Finally, the effectiveness of the proposed scheduling algorithm is verified using numerical simulation.

Key words: integrated energy system (IES), low-carbon economic dispatch, consensus algorithm, homomorphic encryption mechanism, carbon trading mechanism

CLC Number:

TM73

Jingcheng HU, Yunhao FAN, Tong ZHU, Zhenping CHEN. Distributed Low-Carbon Economic Dispatch for Integrated Energy System Based on Homomorphic Encryption[J]. Electric Power, 2025, 58(2): 164-175.

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URL: https://www.electricpower.com.cn/EN/10.11930/j.issn.1004-9649.202404069

https://www.electricpower.com.cn/EN/Y2025/V58/I2/164

Figures/Tables 16

References 31

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子系统	参数
子系统	$\alpha_{{\rm h},i} $	$\beta_{{\rm h},i} $	$\varphi_{{\rm h},i} $	$\theta_{{\rm h},i} $
1	0.673	6.0	0.599	0.223
2	0.337	6.5	0.526	0.215
3	0.241	6.2	0.561	0.147
4	0.241	3.0	0.502	0.153
5	0.069	3.0	0.582	0.225
6	0.080	5.1	0.554	0.196
7	0.028	2.8	0.550	0.201
8	0.018	5.3	0.573	0.182
9	0.090	3.2	0.511	0.213
10	0.077	4.5	0.551	0.125
11	0.029	5.9	0.569	0.185
12	0.070	5.5	0.548	0.224
13	0.039	3.4	0.560	0.184
14	0.026	5.8	0.558	0.177

子系统	参数
子系统	$\alpha_{{\rm h},i} $	$\beta_{{\rm h},i} $	$\varphi_{{\rm h},i} $	$\theta_{{\rm h},i} $
1	0.673	6.0	0.599	0.223
2	0.337	6.5	0.526	0.215
3	0.241	6.2	0.561	0.147
4	0.241	3.0	0.502	0.153
5	0.069	3.0	0.582	0.225
6	0.080	5.1	0.554	0.196
7	0.028	2.8	0.550	0.201
8	0.018	5.3	0.573	0.182
9	0.090	3.2	0.511	0.213
10	0.077	4.5	0.551	0.125
11	0.029	5.9	0.569	0.185
12	0.070	5.5	0.548	0.224
13	0.039	3.4	0.560	0.184
14	0.026	5.8	0.558	0.177

子系统	参数
子系统	$ \alpha_{{\rm e},i} $	$ \beta_{{\rm e},i} $	$\varphi_{{\rm e},i} $	$ \theta_{{\rm e},i} $
1	0.280	60.0	0.90	0.25
2	0.192	65.0	0.85	0.18
3	0.172	62.0	0.89	0.12
4	0.252	30.0	0.91	0.23
5	0.023	30.0	0.82	0.28
6	0.081	50.0	0.93	0.16
7	0.012	30.0	0.83	0.15
8	0.081	60.0	0.86	0.14
9	0.093	30.0	0.92	0.11
10	0.011	45.0	0.80	0.22
11	0.011	59.0	0.88	0.13
12	0.057	55.0	0.95	0.17
13	0.024	60.0	0.84	0.19
14	0.056	58.0	0.81	0.26

子系统	参数
子系统	$ \alpha_{{\rm e},i} $	$ \beta_{{\rm e},i} $	$\varphi_{{\rm e},i} $	$ \theta_{{\rm e},i} $
1	0.280	60.0	0.90	0.25
2	0.192	65.0	0.85	0.18
3	0.172	62.0	0.89	0.12
4	0.252	30.0	0.91	0.23
5	0.023	30.0	0.82	0.28
6	0.081	50.0	0.93	0.16
7	0.012	30.0	0.83	0.15
8	0.081	60.0	0.86	0.14
9	0.093	30.0	0.92	0.11
10	0.011	45.0	0.80	0.22
11	0.011	59.0	0.88	0.13
12	0.057	55.0	0.95	0.17
13	0.024	60.0	0.84	0.19
14	0.056	58.0	0.81	0.26

子系统	参数
子系统	$\alpha_{{\rm g},i} $	$\beta_{{\rm g},i} $	$\varphi_{{\rm g},i} $	$\theta_{{\rm g},i} $
1	0.257	22.6	0.558	0.166
2	0.158	10.5	0.483	0.174
3	0.214	11.2	0.622	0.129
4	0.280	10.8	0.581	0.192
5	0.046	3.6	0.485	0.167
6	0.058	5.1	0.623	0.165
7	0.073	3.3	0.522	0.150
8	0.062	4.2	0.446	0.160
9	0.018	3.1	0.618	0.161
10	0.051	4.5	0.452	0.133
11	0.010	5.9	0.494	0.185
12	0.040	5.5	0.481	0.146
13	0.055	6.2	0.595	0.169
14	0.056	5.8	0.576	0.131