New Rapid Decoupling Methods for Calculating Steady-State and Interval Power Flow of Integrated Electricity-Heat Energy Systems

doi:10.11930/j.issn.1004-9649.202309019

Abstract

Abstract:

Steady-state power flow calculation of integrated energy systems is fundamental to subsequent planning and operational studies. The commonly used Newton-Raphson method poses challenges in numerical stability. Moreover, with the increasing uncertainty in integrated energy systems, it becomes increasingly vital to study the interval power flows for the safety analysis and evaluation of the integrated energy systems. Initially, based on the first and second order expansions of the Taylor function, the analytical expressions for heat load flow and nodal temperature are derived, which allow for the independent solution of flow rate and temperature, enabling the determination of system steady-state flow without solving equation set. And then, the monotonicity of the flow rate and temperature expressions is analyzed in conjunction with heat load values to determine the interval flow solutions for heat load flow and nodal temperature. The proposed method is fast in calculation speed and free from numerical stability problems while ensuring the computational accuracy. Finally, the effectiveness of the proposed method is validated through case study analysis.

Key words: electric-thermal interconnected integrated energy system, steady-state power flow, interval power flow, decoupling calculation, analytical method

Weiwei JING, Qiang WANG, Hao CHENG, Bo WANG, Fuchang YUE, Chen WANG, Wenxue WANG. New Rapid Decoupling Methods for Calculating Steady-State and Interval Power Flow of Integrated Electricity-Heat Energy Systems[J]. Electric Power, 2024, 57(7): 203-213.

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URL: https://www.electricpower.com.cn/EN/10.11930/j.issn.1004-9649.202309019

https://www.electricpower.com.cn/EN/Y2024/V57/I7/203

Figures/Tables 18

References 25

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管道编号	管道流量/(kg·s^–1)			偏差/%		流量均方根误差/ (kg·s^–1)		流量平均绝对误差/ (kg·s^–1)
管道编号	模型1	模型2	模型3	模型 1、2	模型 1、3	模型 1、2	模型 1、3	模型 1、2	模型 1、3
7	1.8007	1.8003	1.8022	0.0222	0.0833	2.06× 10^–4	39.3× 10^–4	1.58× 10^–4	10.8× 10^–4
8	1.7440	1.7441	1.7444	0.0057	0.0229
10	1.7668	1.7669	1.7676	0.0057	0.0453
11	1.7642	1.7643	1.7650	0.0057	0.0453
12	1.7561	1.7563	1.7568	0.0114	0.0399
14	1.7820	1.7820	1.7832	0.0000	0.0673
15	1.7775	1.7775	1.7786	0.0000	0.0619
16	1.7645	1.7647	1.7655	0.0113	0.0567
19	1.7950	1.7948	1.7965	0.0111	0.0836
20	1.7739	1.7741	1.7751	0.0113	0.0676
21	1.8022	1.8018	1.8037	0.0222	0.0832
22	1.7823	1.7823	1.7836	0.0000	0.0729

管道编号	管道流量/(kg·s^–1)			偏差/%		流量均方根误差/ (kg·s^–1)		流量平均绝对误差/ (kg·s^–1)
管道编号	模型1	模型2	模型3	模型 1、2	模型 1、3	模型 1、2	模型 1、3	模型 1、2	模型 1、3
7	1.8007	1.8003	1.8022	0.0222	0.0833	2.06× 10^–4	39.3× 10^–4	1.58× 10^–4	10.8× 10^–4
8	1.7440	1.7441	1.7444	0.0057	0.0229
10	1.7668	1.7669	1.7676	0.0057	0.0453
11	1.7642	1.7643	1.7650	0.0057	0.0453
12	1.7561	1.7563	1.7568	0.0114	0.0399
14	1.7820	1.7820	1.7832	0.0000	0.0673
15	1.7775	1.7775	1.7786	0.0000	0.0619
16	1.7645	1.7647	1.7655	0.0113	0.0567
19	1.7950	1.7948	1.7965	0.0111	0.0836
20	1.7739	1.7741	1.7751	0.0113	0.0676
21	1.8022	1.8018	1.8037	0.0222	0.0832
22	1.7823	1.7823	1.7836	0.0000	0.0729

节点编号	供水温度/℃			偏差/%
节点编号	模型1	模型2	模型3	模型1、2	模型1、3
7	96.3975	96.4120	96.3414	0.0150	0.0582
8	98.5540	98.5512	98.5396	0.0028	0.0146
10	97.6696	97.6684	97.6385	0.0012	0.0318
11	97.7687	97.7661	97.7386	0.0027	0.0308
12	98.0831	98.0765	98.0561	0.0067	0.0275
14	97.0921	97.0941	97.0477	0.0021	0.0457
15	97.2647	97.2628	97.2216	0.0020	0.0443
16	97.7604	97.7499	97.7220	0.0107	0.0393
19	96.6070	96.6143	96.5515	0.0076	0.0574
20	97.3979	97.3900	97.3525	0.0081	0.0466
21	96.3417	96.3576	96.2849	0.0165	0.0590
22	97.0831	97.0801	97.0333	0.0031	0.0513

节点编号	供水温度/℃			偏差/%
节点编号	模型1	模型2	模型3	模型1、2	模型1、3
7	96.3975	96.4120	96.3414	0.0150	0.0582
8	98.5540	98.5512	98.5396	0.0028	0.0146
10	97.6696	97.6684	97.6385	0.0012	0.0318
11	97.7687	97.7661	97.7386	0.0027	0.0308
12	98.0831	98.0765	98.0561	0.0067	0.0275
14	97.0921	97.0941	97.0477	0.0021	0.0457
15	97.2647	97.2628	97.2216	0.0020	0.0443
16	97.7604	97.7499	97.7220	0.0107	0.0393
19	96.6070	96.6143	96.5515	0.0076	0.0574
20	97.3979	97.3900	97.3525	0.0081	0.0466
21	96.3417	96.3576	96.2849	0.0165	0.0590
22	97.0831	97.0801	97.0333	0.0031	0.0513

管道编号	流量上限/(kg·s^–1)			偏差/%
管道编号	模型1	模型2	模型3	模型1、2	模型1、3
7	1.9765	1.9782	1.9802	0.0860	0.1872
8	1.9154	1.9157	1.9160	0.0157	0.0313
10	1.9403	1.9410	1.9418	0.0361	0.0773
11	1.9377	1.9384	1.9391	0.0361	0.0723
12	1.9288	1.9298	1.9303	0.0518	0.0778
14	1.9568	1.9588	1.9601	0.1022	0.1686
15	1.9525	1.9543	1.9555	0.0922	0.1536
16	1.9393	1.9409	1.9416	0.0825	0.1186
19	1.9719	1.9743	1.9762	0.1217	0.2181
20	1.9496	1.9516	1.9527	0.1026	0.1590
21	1.9793	1.9812	1.9834	0.0960	0.2071
22	1.9579	1.9602	1.9616	0.1175	0.1890