Stabilization of MT-HVDC grids via passivity-based control and convex optimization
This paper presents a model for stabilizing multi-terminal high voltage direct-current (MT-HVDC) networks with constant power terminals (CPTs) interfaced with power electronic converters. A hierarchical structure of hierarchical control is developed, which guarantees a stable operation under load va...
- Autores:
-
Montoya, Oscar Danilo
Gil-González, Walter
Garcés, Alejandro
Serra, Federico
Hernandez, Jesus C.
- Tipo de recurso:
- Fecha de publicación:
- 2021
- Institución:
- Universidad Tecnológica de Bolívar
- Repositorio:
- Repositorio Institucional UTB
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.utb.edu.co:20.500.12585/10404
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/10404
https://doi.org/10.1016/j.epsr.2021.107273.
- Palabra clave:
- Convex optimization
Direct-current networks
Passivity-based control
Hierarchical control
Port-Hamiltonian formulation
Stabilization of electrical networks
LEMB
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
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Stabilization of MT-HVDC grids via passivity-based control and convex optimization |
| title |
Stabilization of MT-HVDC grids via passivity-based control and convex optimization |
| spellingShingle |
Stabilization of MT-HVDC grids via passivity-based control and convex optimization Convex optimization Direct-current networks Passivity-based control Hierarchical control Port-Hamiltonian formulation Stabilization of electrical networks LEMB |
| title_short |
Stabilization of MT-HVDC grids via passivity-based control and convex optimization |
| title_full |
Stabilization of MT-HVDC grids via passivity-based control and convex optimization |
| title_fullStr |
Stabilization of MT-HVDC grids via passivity-based control and convex optimization |
| title_full_unstemmed |
Stabilization of MT-HVDC grids via passivity-based control and convex optimization |
| title_sort |
Stabilization of MT-HVDC grids via passivity-based control and convex optimization |
| dc.creator.fl_str_mv |
Montoya, Oscar Danilo Gil-González, Walter Garcés, Alejandro Serra, Federico Hernandez, Jesus C. |
| dc.contributor.author.none.fl_str_mv |
Montoya, Oscar Danilo Gil-González, Walter Garcés, Alejandro Serra, Federico Hernandez, Jesus C. |
| dc.subject.keywords.spa.fl_str_mv |
Convex optimization Direct-current networks Passivity-based control Hierarchical control Port-Hamiltonian formulation Stabilization of electrical networks |
| topic |
Convex optimization Direct-current networks Passivity-based control Hierarchical control Port-Hamiltonian formulation Stabilization of electrical networks LEMB |
| dc.subject.armarc.none.fl_str_mv |
LEMB |
| description |
This paper presents a model for stabilizing multi-terminal high voltage direct-current (MT-HVDC) networks with constant power terminals (CPTs) interfaced with power electronic converters. A hierarchical structure of hierarchical control is developed, which guarantees a stable operation under load variations. This structure includes a port-Hamiltonian formulation representing the network dynamics and a passivity-based control (PBC) for the primary control. This control guarantees stability according to Lyapunov’s theory. Next, a convex optimal power flow formulation based on semidefinite programming (SDP) defines the control’s set point in the secondary/ tertiary control. The proposed stabilization scheme is general for both point-to-point HVDC systems and MTHVDC grids. Simulation results in MATLAB/Simulink demonstrate the stability of the primary control and the optimal performance of the secondary/tertiary control, considering three simulation scenarios on a reduced version of the CIGRE MT-HVDC test system: (i) variation of generation and load, (ii) short-circuit events with different fault resistances and (iii) grid topology variation. These simulations prove the applicability and efficiency of the proposed approach. |
| publishDate |
2021 |
| dc.date.issued.none.fl_str_mv |
2021-04-30 |
| dc.date.accessioned.none.fl_str_mv |
2022-01-25T12:53:02Z |
| dc.date.available.none.fl_str_mv |
2022-01-25T12:53:02Z |
| dc.date.submitted.none.fl_str_mv |
2022-01-24 |
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info:eu-repo/semantics/article |
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info:eu-repo/semantics/restrictedAccess |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.identifier.citation.spa.fl_str_mv |
Oscar Danilo Montoya, Walter Gil-González, Alejandro Garces, Federico Serra, Jesus C. Hernández, Stabilization of MT-HVDC grids via passivity-based control and convex optimization, Electric Power Systems Research, Volume 196, 2021, 107273, ISSN 0378-7796, https://doi.org/10.1016/j.epsr.2021.107273. |
| dc.identifier.uri.none.fl_str_mv |
https://hdl.handle.net/20.500.12585/10404 |
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https://doi.org/10.1016/j.epsr.2021.107273. |
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Universidad Tecnológica de Bolívar |
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Repositorio Universidad Tecnológica de Bolívar |
| identifier_str_mv |
Oscar Danilo Montoya, Walter Gil-González, Alejandro Garces, Federico Serra, Jesus C. Hernández, Stabilization of MT-HVDC grids via passivity-based control and convex optimization, Electric Power Systems Research, Volume 196, 2021, 107273, ISSN 0378-7796, https://doi.org/10.1016/j.epsr.2021.107273. Universidad Tecnológica de Bolívar Repositorio Universidad Tecnológica de Bolívar |
| url |
https://hdl.handle.net/20.500.12585/10404 https://doi.org/10.1016/j.epsr.2021.107273. |
| dc.language.iso.spa.fl_str_mv |
eng |
| language |
eng |
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http://purl.org/coar/access_right/c_abf2 |
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http://creativecommons.org/licenses/by-nc-nd/4.0/ |
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info:eu-repo/semantics/openAccess |
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Attribution-NonCommercial-NoDerivatives 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc-nd/4.0/ Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://purl.org/coar/access_right/c_abf2 |
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openAccess |
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9 páginas |
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application/pdf |
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Cartagena de Indias |
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Electric Power Systems Research - vol. 196 (2021) |
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Universidad Tecnológica de Bolívar |
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Montoya, Oscar Danilo8a59ede1-6a4a-4d2e-abdc-d0afb14d4480Gil-González, Walterfae25221-fcde-4c7d-bf52-14a677a53c76Garcés, Alejandro89a21224-264b-4ff5-bc9e-172f5b9be0fbSerra, Federicoa782614d-85bf-48c1-9292-571df3989593Hernandez, Jesus C.c30f1cc6-96fe-4830-b7cf-1a91478395d12022-01-25T12:53:02Z2022-01-25T12:53:02Z2021-04-302022-01-24Oscar Danilo Montoya, Walter Gil-González, Alejandro Garces, Federico Serra, Jesus C. Hernández, Stabilization of MT-HVDC grids via passivity-based control and convex optimization, Electric Power Systems Research, Volume 196, 2021, 107273, ISSN 0378-7796, https://doi.org/10.1016/j.epsr.2021.107273.https://hdl.handle.net/20.500.12585/10404https://doi.org/10.1016/j.epsr.2021.107273.Universidad Tecnológica de BolívarRepositorio Universidad Tecnológica de BolívarThis paper presents a model for stabilizing multi-terminal high voltage direct-current (MT-HVDC) networks with constant power terminals (CPTs) interfaced with power electronic converters. A hierarchical structure of hierarchical control is developed, which guarantees a stable operation under load variations. This structure includes a port-Hamiltonian formulation representing the network dynamics and a passivity-based control (PBC) for the primary control. This control guarantees stability according to Lyapunov’s theory. Next, a convex optimal power flow formulation based on semidefinite programming (SDP) defines the control’s set point in the secondary/ tertiary control. The proposed stabilization scheme is general for both point-to-point HVDC systems and MTHVDC grids. Simulation results in MATLAB/Simulink demonstrate the stability of the primary control and the optimal performance of the secondary/tertiary control, considering three simulation scenarios on a reduced version of the CIGRE MT-HVDC test system: (i) variation of generation and load, (ii) short-circuit events with different fault resistances and (iii) grid topology variation. These simulations prove the applicability and efficiency of the proposed approach.9 páginasapplication/pdfenghttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://purl.org/coar/access_right/c_abf2Electric Power Systems Research - vol. 196 (2021)Stabilization of MT-HVDC grids via passivity-based control and convex optimizationinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/restrictedAccesshttp://purl.org/coar/resource_type/c_2df8fbb1Convex optimizationDirect-current networksPassivity-based controlHierarchical controlPort-Hamiltonian formulationStabilization of electrical networksLEMBCartagena de IndiasO.D. Montoya, W. Gil-González, L. Grisales-Noreña, C. Orozco-Henao, F. Serra Economic dispatch of BESS and renewable generators in DC microgrids using voltage-dependent load models Energies, 12 (23) (2019), p. 4494J. Li, F. Liu, Z. Wang, S. Low, S. Mei Optimal power flow in stand-alone DC microgrids IEEE Trans. Power Syst. (2018), p. 1, 10.1109/TPWRS.2018.2801280A. Garces On convergence of newtons method in power flow study for DC microgrids IEEE Trans. Power Syst. (2018), p. 1, 10.1109/TPWRS.2018.2820430P. Magne, B. Nahid-Mobarakeh, S. Pierfederici General active global stabilization of multiloads DC-Power networks IEEE Trans. Power Electron., 27 (4) (2012), pp. 1788-1798, 10.1109/TPEL.2011.2168426A. Elnady, A. Adam Decoupled state-Feedback based control scheme for the distributed generation system Electric Power Components and Systems, 46 (5) (2018), pp. 494-510, 10.1080/15325008.2018.1453564O.D. Montoya, W. Gil-González, A. Garces Optimal power flow on DC microgrids: A Quadratic convex approximation IEEE Trans. Circuits Syst. II Exp. Briefs (2018), p. 1, 10.1109/TCSII.2018.2871432O.D. Montoya, W. Gil-González, L.F. Grisales-Noreña Optimal power dispatch of DGs in DC power grids: a hybrid gauss-Seidel-Genetic-Algorithm methodology for solving the OPF problem WSEAS Transactions on Power Systems, 13 (33) (2018), pp. 335-346E. Benedito, D. del Puerto-Flores, A. Dória-Cerezo, J.M. Scherpen Port-Hamiltonian based optimal power flow algorithm for multi-terminal DC networks Control Eng. Pract., 83 (2019), pp. 141-150, 10.1016/j.conengprac.2018.10.018D. Murillo-Yarce, A. Garcés-Ruiz, A. Escobar-Mejía Passivity-Based control for DC-Microgrids with constant power terminals in island mode operation Revista Facultad de Ingeniería (86) (2018), pp. 32-39E. Benedito, D. del Puerto-Flores, A. Dória-Cerezo, J.M. Scherpen Optimal power flow for resistive DC networks: a port-Hamiltonian approach IFAC-PapersOnLine, 50 (1) (2017), pp. 25-30, 10.1016/j.ifacol.2017.08.005C. De Persis, E.R. Weitenberg, F. Dörfler A power consensus algorithm for DC microgrids Automatica, 89 (2018), pp. 364-375, 10.1016/j.automatica.2017.12.026M. Tucci, L. Meng, J.M. Guerrero, G. Ferrari-Trecate Stable current sharing and voltage balancing in DC microgrids: a consensus-based secondary control layer Automatica, 95 (2018), pp. 1-13, 10.1016/j.automatica.2018.04.017M. Tucci, L. Meng, J.M. Guerrero, G. Ferrari-Trecate Plug-and-play control and consensus algorithms for current sharing in DC microgrids IFAC-PapersOnLine, 50 (1) (2017), pp. 12440-12445, 10.1016/j.ifacol.2017.08.1918Z. Shuai, J. Fang, F. Ning, Z.J. Shen Hierarchical structure and bus voltage control of DC microgrid Renew. Sustain. Energy Rev., 82 (2018), pp. 3670-3682, 10.1016/j.rser.2017.10.096J. Lai, X. Lu, W. Yao, J. Wen, S. Cheng Robust distributed cooperative control for DC mircogrids with time delays, noise disturbances, and switching topologies J. Franklin Inst., 354 (18) (2017), pp. 8312-8332, 10.1016/j.jfranklin.2017.10.025C. Dong, F. Guo, H. Jia, Y. Xu, X. Li, P. Wang DC Microgrid stability analysis considering time delay in the distributed control Energy Procedia, 142 (2017), pp. 2126-2131, 10.1016/j.egypro.2017.12.616N. Vafamand, M.H. Khooban, T. Dragičević, F. Blaabjerg Networked fuzzy predictive control of power buffers for dynamic stabilization of DC microgrids IEEE Trans. Ind. Electron., 66 (2) (2019), pp. 1356-1362, 10.1109/TIE.2018.2826485M.A. Kardan, M.H. Asemani, A. Khayatian, N. Vafamand, M.H. Khooban, T. Dragičević, F. Blaabjerg Improved stabilization of nonlinear DC microgrids: cubature kalman filter approach IEEE Trans. Ind. Appl., 54 (5) (2018), pp. 5104-5112, 10.1109/TIA.2018.2848959L.F. Grisales-Noreña, O.D. Garzón-Rivera, J.A. Ocampo-Toro, C.A. Ramos-Paja, M.A. Rodriguez-Cabal Metaheuristic optimization methods for optimal power flow analysis in DC distribution networks Transactions on Energy Systems and Engineering Applications, 1 (1) (2020), pp. 13-31, 10.32397/tesea.vol1.n1.2O.D. Montoya Numerical approximation of the maximum power consumption in DC-MGs with CPLs via an SDP model IEEE Trans. Circuits Syst. II Exp. Briefs, 66 (4) (2018), pp. 642-646, 10.1109/TCSII.2018.2866447W. Gil-González, O.D. Montoya, E. Holguín, A. Garces, L.F. Grisales-Noreña Economic dispatch of energy storage systems in dc microgrids employing a semidefinite programming model J. Energy Storage, 21 (2019), pp. 1-8, 10.1016/j.est.2018.10.025A. Garces, O.D. Montoya, R. Torres Optimal power flow in multiterminal HVDC systems considering DC/DC converters 2016 IEEE 25th International Symposium on Industrial Electronics (ISIE) (2016), pp. 1212-1217, 10.1109/ISIE.2016.7745067O.D. Montoya, L. Grisales-Noreña, D. González-Montoya, C. Ramos-Paja, A. Garces Linear power flow formulation for low-voltage DC power grids Electr. Power Syst. Res., 163 (2018), pp. 375-381, 10.1016/j.epsr.2018.07.003J.W. Simpson-Porco, F. Dorfler, F. Bullo On resistive networks of constant-Power devices IEEE Trans. Circuits Syst. II Exp. Briefs, 62 (8) (2015), pp. 811-815, 10.1109/TCSII.2015.2433537C. Gavriluta, I. Candela, C. Citro, A. Luna, P. Rodriguez Design considerations for primary control in multi-terminal VSC-HVDC grids Electr. Power Syst. Res., 122 (2015), pp. 33-41, 10.1016/j.epsr.2014.12.020A. Garces Uniqueness of the power flow solutions in low voltage direct current grids Electr. Power Syst. Res., 151 (Supplement C) (2017), pp. 149-153, 10.1016/j.epsr.2017.05.031R. Cisneros, F. Mancilla-David, R. Ortega Passivity-Based control of a grid-Connected small-Scale windmill with limited control authority IEEE J. Emerg. Sel. Top. Power Electron., 1 (4) (2013), pp. 247-259, 10.1109/JESTPE.2013.2285376S.P. Nageshrao, G.A.D. Lopes, D. Jeltsema, R. Babuska Port-Hamiltonian systems in adaptive and learning control: A Survey IEEE Trans. Autom. Control, 61 (5) (2016), pp. 1223-1238, 10.1109/TAC.2015.2458491W. Gil-González, A. Garces, A. Escobar Passivity-based control and stability analysis for hydro-turbine governing systems Appl. Math. Modell., 68 (2019), pp. 471-486, 10.1016/j.apm.2018.11.045O.D. Montoya, W. Gil-González, F.M. Serra PBC Approach for SMES devices in electric distribution networks IEEE Trans. Circuits Syst. II Exp. Briefs (2018), pp. 1-6, 10.1109/TCSII.2018.2805774F.M. Serra, C.H.D. Angelo IDA-PBC Controller design for grid connected front end converters under non-ideal grid conditions Electr. Power Syst. Res., 142 (2017), pp. 12-19, 10.1016/j.epsr.2016.08.041A.M. Jubril, A.O. Adediji, O.A. Olaniyan Solving the combined heat and power dispatch problem: A Semi-definite programming approach Electric Power Components and Systems, 40 (12) (2012), pp. 1362-1376, 10.1080/15325008.2012.694972A.M. Jubril, A.O. Adediji Semi-definite programming approach to stochastic combined heat and power environmental/economic dispatch problem Electric Power Components and Systems, 43 (18) (2015), pp. 2039-2049, 10.1080/15325008.2015.1075082W. Gil-González, O.D. Montoya, E. Holguín, A. Garces, L.F. 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