The Static Stability Region of an Integrated Electricity-Gas System Considering Voltage and Gas Pressure

Yunfei Mu, Zhibin Liu, Xiangwei Guo, Hongjie Jia, Kai Hou, Xiaodan Yu, Bofeng Luo, Hairun Li

Engineering ›› 2024, Vol. 36 ›› Issue (5) : 132-145.

PDF(3040 KB)
PDF(3040 KB)
Engineering ›› 2024, Vol. 36 ›› Issue (5) : 132-145. DOI: 10.1016/j.eng.2023.12.009
Research
Article

The Static Stability Region of an Integrated Electricity-Gas System Considering Voltage and Gas Pressure

Author information +
History +

Abstract

In an integrated electricity-gas system (IEGS), load fluctuations affect not only the voltage in the power system but also the gas pressure in the natural gas system. The static voltage stability region (SVSR) method is a tool for analyzing the overall static voltage stability in a power system. However, in an IEGS, the SVSR boundary may be overly optimistic because the gas pressure may collapse before the voltage collapses. Thus, the SVSR method cannot be directly applied to an IEGS. In this paper, the concept of the SVSR is extended to the IEGS-static stability region (SSR) while considering voltage and gas pressure. First, criteria for static gas pressure stability in a natural gas system are proposed, based on the static voltage stability criteria in a power system. Then, the IEGS-SSR is defined as a set of active power injections that satisfies multi-energy flow (MEF) equations and static voltage and gas pressure stability constraints in the active power injection space of natural gas-fired generator units (NGUs). To determine the IEGS-SSR, a continuation MEF (CMEF) method is employed to trace the boundary point in one specific NGU scheduling direction. A multidimensional hyperplane sampling method is also proposed to sample the NGU scheduling directions evenly. The obtained boundary points are further used to form the IEGS-SSR in three-dimensional (3D) space via a Delaunay triangulation hypersurface fitting method. Finally, the numerical results of typical case studies are presented to demonstrate that the proposed method can effectively form the IEGS-SSR, providing a tool for IEGS online monitoring and dispatching.

Graphical abstract

Keywords

Integrated electricity-gas system / Static stability region / Continuation multi-energy flow / Multidimensional hyperplane sampling

Cite this article

Download citation ▾
Yunfei Mu, Zhibin Liu, Xiangwei Guo, Hongjie Jia, Kai Hou, Xiaodan Yu, Bofeng Luo, Hairun Li. The Static Stability Region of an Integrated Electricity-Gas System Considering Voltage and Gas Pressure. Engineering, 2024, 36(5): 132‒145 https://doi.org/10.1016/j.eng.2023.12.009

References

[1]
Paul S, Dey T, Saha P, Dey S, Sen R. Review on the development scenario of renewable energy in different country. In: Proceedings of 2021 Innovations in Energy Management and Renewable Resources; 2021 Feb 5-7; Kolkata, India. IEEE; 2021. p. 1-2.
[2]
Youssef E, El Azab RM, Amin AM. Comparative study of voltage stability analysis for renewable energy grid-connected systems using PSS/E. In: Proceedings of SoutheastCon 2015; 2015 Apr 9-12; Fort Lauderdale, FL, USA. IEEE; 2015. p. 1-6.
[3]
J. Zhang, Y. Mu, Z. Wu, Z. Liu, Y. Gao, H. Jia, et al.. Optimal scheduling method of regenerative electric heating for emergency residential building heating: an affine arithmetic-based model predictive control approach. IET Energy Syst Integr, 5 (1) ( 2023), pp. 40-53
[4]
Y. Mi, C. Liu, J. Yang, H. Zhang, Q. Wu. Low-carbon generation expansion planning considering uncertainty of renewable energy at multi-time scales. Glob Energy Interconnect, 4 (3) ( 2021), pp. 261-272
[5]
D. Chen, Z. Bao, L. Wu. Integrated coordination scheduling framework of electricity-natural gas systems considering electricity transmission N - 1 contingencies and gas dynamics. J Mod Power Syst Clean Energy, 7 (6) ( 2019), pp. 1422-1433
[6]
V. Shabazbegian, H. Ameli, M.T. Ameli, G. Strbac.Stochastic optimization model for coordinated operation of natural gas and electricity networks. Comput Chem Eng, 142 ( 2020), p. 107060
[7]
B.C. Erdener, K.A. Pambour, R.B. Lavin, B. Dengiz. An integrated simulation model for analyzing electricity and gas systems. Int J Electr Power Energy Syst, 61 ( 2014), pp. 410-420
[8]
S. Badakhshan, M. Ehsan, M. Shahidehpour, N. Hajibandeh, M. Shafie-Khah, J.P.S. Catalão. Security-constrained unit commitment with natural gas pipeline transient constraints. IEEE Trans Smart Grid, 11 (1) ( 2020), pp. 118-128
[9]
Hui H, Ding Y, Luan K, Xu D. Analysis of “8.15” blackout in Taiwan and the improvement method of contingency reserve capacity through direct load control. In:Proceedings of 2018 IEEE Power & Energy Society General Meeting (PESGM); 2018 Aug 5-10; Portland, OR, USA. IEEE; 2018. p. 1-5.
[10]
P. Fairley. The troubled link between gas and electricity grids. IEEE Spectrum, 53 (6) ( 2016), pp. 11-12
[11]
J. Bialek.What does the GB power outage on 9 August 2019 tell us about the current state of decarbonized power systems?. Energy Policy, 146 ( 2020), Article 111821
[12]
F.J. Mercede, J.C. Chow, H.H. Yan, R. Fischl. A framework to predict voltage collapse in power systems. IEEE Trans Power Syst, 3 (4) ( 1988), pp. 1807-1813
[13]
Abed AM.WSCC voltage stability criteria, undervoltage load shedding strategy, and reactive power reserve monitoring methodology. In:Proceedings of 1999 IEEE Power Engineering Society Summer Meeting. Conference Proceedings (Cat. No.99CH36364); 1999 Jul 18- 22; Edmonton, AB, Canada. IEEE; 1999. p. 191-7.
[14]
H. Kwatny, A. Pasrija, L. Bahar. Static bifurcations in electric power networks: loss of steady-state stability and voltage collapse. IEEE Trans Circ Syst, 33 (10) ( 1986), pp. 981-991
[15]
V.A. Venikov, V.A. Stroev, V.I. Idelchick, V.I. Tarasov. Estimation of electrical power system steady-state stability in load flow calculations. IEEE Trans Power Apparatus Syst, 94 (3) ( 1975), pp. 1034-1041
[16]
K. Alzaareer, M. Saad, H. Mehrjerdi, Q. Salem, S. Harasis, A.M.I. Aldaoudeyeh, et al.. Sensitivity analysis for voltage stability considering voltage dependent characteristics of loads and DGs. IEEE Access, 9 ( 2021), pp. 156437-156450
[17]
B. Liu, Y. Wang, Z. Yang, Y.W. Li, H.Z. Xie, Y. Zhang, et al.. Evaluation method of voltage stability based on minimum singular value. Appl Mech Mater, 511-512 ( 2014), pp. 1128-1132
[18]
M.J. Vahid-Pakdel, H. Seyedi, B. Mohammadi-Ivatloo. Enhancement of power system voltage stability in multi-carrier energy systems. Int J Electr Power Energy Syst, 99 ( 2018), pp. 344-354
[19]
Zhao B, Luo B, Zhou J, Meng X, Li Z.Static sensitivity analysis method of integrated energy system based on power flow model. In:Proceedings of 2018 2nd IEEE Conference on Energy Internet and Energy System Integration (EI2); 2018 Oct 20- 22; Beijing, China. IEEE; 2018. p. 1-9.
[20]
Qiao Z, Guo Q, Sun H, Jia L, Zhao W.Static voltage stability margin considering the coupling of natural gas and power system. In:Proceedings of 2018 IEEE Power & Energy Society General Meeting (PESGM); 2018 Aug 5-10; Portland, OR, USA. IEEE; 2018. p. 1-5.
[21]
H.D. Chiang, Z.Y. Wang, L. Zeng. Dynamic relationship between KKT saddle solutions and optimal solutions in AC OPF problems. IEEE Trans Power Syst, 39 (1) ( 2024), pp. 1637-1646
[22]
Wei W, Jia H, Zhang P, Wang C, Wu J, Lee ST.Development of power system voltage stability region (PSVSR) for static voltage security assessment. In:Proceedings of 2006 International Conference on Power System Technology; 2006 Oct 22- 26; Chongqing, China. IEEE; 2006. p. 1-6.
[23]
Y. Mu, H. Jia. An approach to determining the local boundaries of voltage stability region with wind farms in power injection space. Sci China Technol Sci, 53 (12) ( 2010), pp. 3232-3240
[24]
Yu Y, Li H, Han Q, Lee ST, Zhang P.Practical boundary of static voltage stability region in cut-set complex power space of power systems. In:Proceedings of 2005 IEEE/PES Transmission & Distribution Conference & Exposition: Asia and Pacific; 2005 Aug 18- 18; Dalian, China. IEEE; 2005. p. 1-6.
[25]
Y. Qiu, H. Wu, Y. Song, J. Wang. Global approximation of static voltage stability region boundaries considering generator reactive power limits. IEEE Trans Power Syst, 33 (5) ( 2018), pp. 5682-5691
[26]
H.D. Chiang, A.J. Flueck, K.S. Shah, N. Balu. CPFLOW: a practical tool for tracing power system steady-state stationary behavior due to load and generation variations. IEEE Trans Power Syst, 10 (2) ( 1995), pp. 623-634
[27]
E. Kuroda, M. Watanabe, D. Kato, N. Saito, M. Yatsu. Fast computation method of static voltage stability using geometric parameter adjustment for the continuation power flow. Electr Eng Jpn, 214 (2) ( 2021), pp. 1-10
[28]
W. Zhang, T. Wang, H.D. Chiang. A novel FFHE-inspired method for large power system static stability computation. IEEE Trans Power Syst, 37 (1) ( 2022), pp. 726-737
[29]
W.H. Tang, W.W. Li, J.H. Zheng, C.Q. Wu, L.X. Wang, Q.L. Wei, et al.. A composite voltage stability index for integrated energy systems based on L-index and the minimum eigenvalue of reduced Jacobian matrix. Int J Electr Power Energy Syst, 141 ( 2022), Article 108136
[30]
Liu Z, Mu Y, Guo X, Jia H, Wu G, Zu G.Static stability analysis of integrated electricity and gas system considering voltage and pressure. In:Proceedings of 2021 IEEE 5th Conference on Energy Internet and Energy System Integration (EI2); 2021 Oct 22- 24; Taiyuan, China. IEEE; 2021, p. 1750-4.
[31]
W. Xu, H. Lu, G. He, Y. Chen, D. Yang. Optimal schedule strategy of integrated energy system considering static voltage stability. Lect Notes Electr Eng, 718 ( 2021), pp. 660-675
[32]
S. Lu, Y. Xu, W. Gu, X. Fang, Z. Dong. On thermal dynamics embedded static voltage stability margin. IEEE Trans Power Syst, 38 (3) ( 2023), pp. 2982-2985
[33]
Tang Y. Static analysis of voltage stability. In: Voltage Stability Analysis of Power System. Singapore: Springer Singapore; 2021.
[34]
B. Rajani, P.S. Raju. Comparision of facts controllers for improvement of voltage/line stability in transmission system using SSSC & STATCOM. J Theor Appl Inf Technol, 41 ( 2012), pp. 192-200
[35]
B. Chen, Q. Guo, G. Yin, B. Wang, Z. Pan, Y. Chen, et al.. Energy-circuit-based integrated energy management system: theory, implementation, and application. Proc IEEE, 110 (12) ( 2022), pp. 1897-1926
[36]
A. Martinez-Mares, C.R. Fuerte-Esquivel. A unified gas and power flow analysis in natural gas and electricity coupled networks. IEEE Trans Power Syst, 27 (4) ( 2012), pp. 2156-2166
[37]
Yuan K, Sun C, Song Y, Li H.A multi-energy flow calculation method considering multiple energy coupling operation modes. In:Proceedings of 2020 IEEE 4th Conference on Energy Internet and Energy System Integration (EI2); 2020 Oct 30-Nov 1; Wuhan, China. IEEE; 2020. p. 2661-6.
[38]
N.J. Labiba. Fluid flow analysis of a transmission line of Jalalabad gas transmission and distribution system limited. Int J Oil Gas Coal Eng, 3 (2) ( 2015), pp. 24-32
[39]
Y.Q. Bao, M. Wu, X. Zhou, X. Tang. Piecewise linear approximation of gas flow function for the optimization of integrated electricity and natural gas system. IEEE Access, 7 ( 2019), pp. 91819-91826
[40]
T. Jiang, R. Zhang, X. Li, H. Chen, G. Li.Integrated energy system security region: concepts, methods, and implementations. Appl Energy, 283 ( 2021), p. 116124
[41]
Chen S, Wei Z, Sun G, Sun Y, Lu N. Steady-state security regions of electricity-gas integrated energy systems. In: Proceedings of 2016 IEEE Power and Energy Society General Meeting (PESGM); 2016 Jul 17-21; Boston, MA, USA. IEEE; 2016. p. 1-5.
[42]
Li S, Xia W, Liu Y.A sensitivity-based exchange model between L index and eigenvalues to quantify power system static voltage stability. In:Proceedings of 2023 IEEE 6th International Electrical and Energy Conference (CIEEC); 2023 May 12- 14; Hefei, China. IEEE; 2023. p. 397-401.
[43]
X. Li, G. Tian, Q. Shi, T. Jiang, F. Li, H. Jia.Security region of natural gas network in electricity-gas integrated energy system. Int J Electr Power Energy Syst, 117 ( 2020), p. 105601
[44]
Y.J. Qin, J.H. Zheng, Z. Li, Q.H. Wu.Reduction of non-linear many objectives for coordinated operation of integrated energy systems. Int J Electr Power Energy Syst, 117 ( 2020), p. 105657
[45]
M. Varadarajan, K.S. Swarup. Solving multi-objective optimal power flow using differential evolution. IET Gener Transm Distrib Inst Eng Technol, 2 (5) ( 2008), pp. 720-730
[46]
B. Gao, G.K. Morison, P. Kundur. Voltage stability evaluation using modal analysis. IEEE Trans Power Syst, 7 (4) ( 1992), pp. 1529-1542
[47]
Li P, Li Q, Bai J, Wang S, Huang Y.Accommodation ability evaluation of high renewable energy penetrated power system with large-scale concentrating solar power. In:Proceedings of 2021 6th Asia Conference on Power and Electrical Engineering (ACPEE); 2021 Apr 8- 11; Chongqing, China. IEEE; 2021, p. 263-8.
[48]
Que L, Jiang Z, Lai H, Xie Z, Li S.A reliability evaluation method for transmission grid based on risk theory. In:Proceedings of Third International Conference on Mechanical Design and Simulation (MDS 2023); 2023 Mar 3- 5; Xi’an, China. 2023.
[49]
Osiadacz AJ.Simulation and analysis of gas networks. Oak Ridge: US Department of Energy; 1987.
[50]
J. Xiao, Y. Qu, B. She, L. Lv, C. Song, Z. Sun, et al.. Complete limits of flow network based on critical flow: concept, model, algorithm, visualization, and applications. Arab J Sci Eng, 48 (1) ( 2023), pp. 985-1007
[51]
Y. Qiu, H. Wu, Y. Zhou, Y. Song. Global parametric polynomial approximation of static voltage stability region boundaries. IEEE Trans Power Syst, 32 (3) ( 2017), pp. 2362-2371
[52]
Hu L, Zhao J, Hongjie J, Guo X, Zeng Q.Computing the boundary of simple power system feasible region based on the optimization method. In: Proceedings of IEEE PES Innovative Smart Grid Technologies; 2012 May 21-24; Tianjin, China. IEEE; 2012. p. 1-6.
[53]
A. Bishnu, S. Desai, A. Ghosh, M. Goswami, S. Paul. Uniformity of point samples in metric spaces using gap ratio. SIAM J Discrete Math, 31 (3) ( 2017), pp. 2138-2171
[54]
Qiu C, Cheng J, Chen Q, Jiang P.An optimal method for load restoration in AC-DC system. In:Proceedings of 2017 China International Electrical and Energy Conference (CIEEC); 2017 Oct 25- 27; Beijing, China. IEEE; 2018. p. 107-11.
[55]
wecc. org. Internet. System performance criterion under normal conditions, following loss of a single BES element, and following extreme BES events. Report. Salt Lake City: Western Electricity Coordinating Council; 2012 Apr.
[56]
Y. Yu, Y. Liu, C. Qin, T. Yang. Theory and method of power system integrated security region irrelevant to operation states: an introduction. Engineering, 6 (7) ( 2020), pp. 754-777
AI Summary AI Mindmap
PDF(3040 KB)

Accesses

Citations

Detail

Sections
Recommended

/