Non-Smooth Dynamics in Energy Market Models: A Complex Approximation from System Dynamics and Dynamical Systems Approach
This paper reports a general model that describes the supply and demand of electricity in a national market based on the system dynamics (SD) approach. From the resulting SD model, it derives piecewise smooth (non-smooth) differential equations from the nonlinear functions and feedback cycles of the...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2020
- Institución:
- Universidad de Medellín
- Repositorio:
- Repositorio UDEM
- Idioma:
- eng
- OAI Identifier:
- oai:repository.udem.edu.co:11407/5985
- Acceso en línea:
- http://hdl.handle.net/11407/5985
- Palabra clave:
- Complexity
dynamic systems
energy markets
energy policy
Fillipov systems
modeling
non-smooth dynamic
power markets
simulations
system dynamics
Differential equations
Dynamical systems
Nonlinear equations
Power markets
System theory
Dynamical systems approach
Energy market modeling
Equilibrium point
Investment decisions
Non-smooth dynamics
Non-smooth vector fields
Nonlinear functions
Supply and demand
Investments
- Rights
- License
- http://purl.org/coar/access_right/c_16ec
| id |
REPOUDEM2_f5f083e18d398f17cb3615d6336e35cd |
|---|---|
| oai_identifier_str |
oai:repository.udem.edu.co:11407/5985 |
| network_acronym_str |
REPOUDEM2 |
| network_name_str |
Repositorio UDEM |
| repository_id_str |
|
| dc.title.none.fl_str_mv |
Non-Smooth Dynamics in Energy Market Models: A Complex Approximation from System Dynamics and Dynamical Systems Approach |
| title |
Non-Smooth Dynamics in Energy Market Models: A Complex Approximation from System Dynamics and Dynamical Systems Approach |
| spellingShingle |
Non-Smooth Dynamics in Energy Market Models: A Complex Approximation from System Dynamics and Dynamical Systems Approach Complexity dynamic systems energy markets energy policy Fillipov systems modeling non-smooth dynamic power markets simulations system dynamics Differential equations Dynamical systems Nonlinear equations Power markets System theory Dynamical systems approach Energy market modeling Equilibrium point Investment decisions Non-smooth dynamics Non-smooth vector fields Nonlinear functions Supply and demand Investments |
| title_short |
Non-Smooth Dynamics in Energy Market Models: A Complex Approximation from System Dynamics and Dynamical Systems Approach |
| title_full |
Non-Smooth Dynamics in Energy Market Models: A Complex Approximation from System Dynamics and Dynamical Systems Approach |
| title_fullStr |
Non-Smooth Dynamics in Energy Market Models: A Complex Approximation from System Dynamics and Dynamical Systems Approach |
| title_full_unstemmed |
Non-Smooth Dynamics in Energy Market Models: A Complex Approximation from System Dynamics and Dynamical Systems Approach |
| title_sort |
Non-Smooth Dynamics in Energy Market Models: A Complex Approximation from System Dynamics and Dynamical Systems Approach |
| dc.subject.spa.fl_str_mv |
Complexity dynamic systems energy markets energy policy Fillipov systems modeling non-smooth dynamic power markets simulations system dynamics |
| topic |
Complexity dynamic systems energy markets energy policy Fillipov systems modeling non-smooth dynamic power markets simulations system dynamics Differential equations Dynamical systems Nonlinear equations Power markets System theory Dynamical systems approach Energy market modeling Equilibrium point Investment decisions Non-smooth dynamics Non-smooth vector fields Nonlinear functions Supply and demand Investments |
| dc.subject.keyword.eng.fl_str_mv |
Differential equations Dynamical systems Nonlinear equations Power markets System theory Dynamical systems approach Energy market modeling Equilibrium point Investment decisions Non-smooth dynamics Non-smooth vector fields Nonlinear functions Supply and demand Investments |
| description |
This paper reports a general model that describes the supply and demand of electricity in a national market based on the system dynamics (SD) approach. From the resulting SD model, it derives piecewise smooth (non-smooth) differential equations from the nonlinear functions and feedback cycles of the corresponding stock-flow structure. Subsequently, the stability of the equilibrium points and non-smooth dynamics of the SD model are investigated using the dynamical systems theory. Filippov systems are found in the proposed SD model and non-smooth vector fields associated with generators investment decisions are accumulated. Under this combining methodology, the non-smooth dynamics of energy markets that are governed by the supply and demand laws are uncovered mathematically and deeply described. In fact, we extend our investigation results to any energy market model attached to various investment decisions, confirming the generalizability of our research. © 2013 IEEE. |
| publishDate |
2020 |
| dc.date.accessioned.none.fl_str_mv |
2021-02-05T14:58:25Z |
| dc.date.available.none.fl_str_mv |
2021-02-05T14:58:25Z |
| dc.date.none.fl_str_mv |
2020 |
| dc.type.eng.fl_str_mv |
Article |
| dc.type.coarversion.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.type.driver.none.fl_str_mv |
info:eu-repo/semantics/article |
| dc.identifier.issn.none.fl_str_mv |
21693536 |
| dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/11407/5985 |
| dc.identifier.doi.none.fl_str_mv |
10.1109/ACCESS.2020.3008709 |
| identifier_str_mv |
21693536 10.1109/ACCESS.2020.3008709 |
| url |
http://hdl.handle.net/11407/5985 |
| dc.language.iso.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.isversionof.none.fl_str_mv |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85089227718&doi=10.1109%2fACCESS.2020.3008709&partnerID=40&md5=24acf83a7e7d3ef175ef6cadea392957 |
| dc.relation.citationvolume.none.fl_str_mv |
8 |
| dc.relation.citationstartpage.none.fl_str_mv |
128877 |
| dc.relation.citationendpage.none.fl_str_mv |
128896 |
| dc.relation.references.none.fl_str_mv |
Gary, S., Larsen, E.R., Improving firm performance in out-ofequilibrium, deregulated markets using feedback simulation models (2000) Energy Policy, 28 (12), pp. 845-855. , Oct Bunn, D.W., Larsen, E.R., Sensitivity of reserve margin to factors influencing investment behaviour in the electricity market of England and Wales (1992) Energy Policy, 20 (5), pp. 420-429. , https://www.sciencedirect.com/science/article/abs/pii/0301421592900638, May Ford, A., Cycles in competitive electricity markets: A simulation study of the western United States (1999) Energy Policy, 27 (11), pp. 637-658. , http://linkinghub.elsevier.com/retrieve/pii/S0301421599000506, Oct Ochoa, P., Van Ackere, A., Policy changes and the dynamics of capacity expansion in the swiss electricity market (2009) Energy Policy, 37 (5), pp. 1983-1998. , http://linkinghub.elsevier.com/retrieve/pii/S0301421509000500, May Bernardo, M., Budd, C., Champneys, A.R., Kowalczyk, P., (2008) Piecewisesmooth Dynamical Systems: Theory and Applications, 163. , London, U. K.: Springer-Verlag Jebaraj, S., Iniyan, S., A review of energy models (2006) Renew. Sustain. Energy Rev., 10 (4), pp. 281-311. , http://linkinghub.elsevier.com/retrieve/pii/S1364032104001261, Aug Foley, A.M., Gallachóir, B.P.ó., Hur, J., Baldick, R., McKeogh, E.J., A strategic review of electricity systems models (2010) Energy, 35 (12), pp. 4522-4530. , http://linkinghub.elsevier.com/retrieve/pii/S0360544210001866, Dec Teufel, F., Miller, M., Genoese, M., Fichtner, W., Review of system dynamics models for electricity market simulations (2013) Work. Paper Ser. Prod. Energy, KIT, , Karlsruhe, Germany, Tech. Rep. 2 Ahmad, S., Tahar, R.M., Muhammad-Sukki, F., Munir, A.B., Rahim, R.A., Application of system dynamics approach in electricity sector modelling: A review (2016) Renew. Sustain. Energy Rev., 56, pp. 29-37. , Apr Borshchev, A., Filippov, A., From system dynamics and discrete event to practical agent based modeling: Reasons, techniques, tools (2004) Proc. 22nd Int. Conf. Syst. Dyn. Soc., 22, pp. 25-29 Mehrabadi, R.A., Moghaddam, M.P., Sheikh-El-Eslami, M.K., Generation expansion planning in multi electricity markets considering environmental impacts (2020) J. Cleaner Prod., 243. , Jan Morcillo, J.D., Angulo, F., Franco, C.J., Analyzing the hydroelectricity variability on power markets from a system dynamics and dynamic systems perspective: Seasonality and ENSO phenomenon (2020) Energies, 13 (9), p. 2381. , May Naill, R.F., A system dynamics model for national energy policy planning (1992) Syst. Dyn. Rev., 8 (1), pp. 1-19 Dyner, I., Energy modelling platforms for policy and strategy support (2000) J. Oper. Res. Soc., 51 (2), pp. 136-144. , http://www.jstor.org/stable/254253, Feb Sterman, J.D., (2000) Business Dynamics, , 1st Ed. New York, NY, USA: McGraw-Hill Ford, A., Wright, J., Prize, F., System dynamics and the electric power industry (1997) Syst. Dyn. Rev., 13 (1), pp. 57-85 Aracil, J., On the qualitative properties in system dynamics models (1999) Eur. J. Econ. Social Syst., 13 (1), pp. 1-18. , http://www.edpsciences.org/10.1051/ejess:1999100 Djemai, M., Defoort, M., Hybrid dynamical systems (2015) Solves Problems in the Analysis and Control of Hybrid Dynamical Systems (Lecture Notes in Control and Information Sciences), 457. , Cham, Switzerland: Springer Natsiavas, S., Analytical modeling of discrete mechanical systems involving contact, impact, and friction (2019) Appl. Mech. Rev., 71 (5). , Sep Znegui, W., Gritli, H., Belghith, S., Design of an explicit expression of the poincaré map for the passive dynamic walking of the compass-gait biped model (2020) Chaos, Solitons Fractals, 130. , Jan Gedeon, T., Multi-parameter exploration of dynamics of regulatory networks (2020) Biosystems, 190. , Apr El Aroudi, A., Giaouris, D., Iu, H.H.-C., Hiskens, I.A., A review on stability analysis methods for switching mode power converters (2015) IEEE J. Emerg. Sel. Topics Circuits Syst., 5 (3), pp. 302-315. , Sep Avrutin, V., Zhusubaliyev, Z.T., Suissa, D., El Aroudi, A., Nonobservable chaos in piecewise smooth systems (2020) Nonlinear Dyn., 99 (3), pp. 2031-2048. , Feb Morcillo, J.D., Burbano, D., Angulo, F., Adaptive ramp technique for controlling chaos and subharmonic oscillations in DC-DC power converters (2016) IEEE Trans. Power Electron., 31 (7), pp. 5330-5343. , Jul Ma, L., Huo, X., Zhao, X., Niu, B., Zong, G., Adaptive neural control for switched nonlinear systems with unknown backlash-like hysteresis and output dead-zone (2019) Neurocomputing, 357, pp. 203-214. , Sep Grimble, M.J., Majecki, P., Introduction to nonlinear systems modelling and control (2020) Nonlinear Industrial Control Systems, pp. 3-63. , London, U. K.: Springer-Verlag Wang, X., Wang, Y., Novel dynamics of a predator-prey system with harvesting of the predator guided by its population (2017) Appl. Math. Model., 42, pp. 636-654. , http://www.sciencedirect.com/science/article/pii/S0307904X16305212, Feb Yoshioka, H., Yaegashi, Y., Optimization model to start harvesting in stochastic aquaculture system (2017) Appl. Stochastic Models Bus. Ind., 33 (5), pp. 476-493. , Sep Morcillo, J.D., Franco, C.J., Angulo, F., Simulation of demand growth scenarios in the colombian electricity market: An integration of system dynamics and dynamic systems (2018) Appl. Energy, 216, pp. 504-520. , http://www.sciencedirect.com/science/article/pii/S0306261918302290, Apr Redondo, J.M., Olivar, G., Ibarra-Vega, D., Dyner, I., Modeling for the regional integration of electricity markets (2018) Energy Sustain. Develop., 43, pp. 100-113. , https://www.sciencedirect.com/science/article/pii/S097308261730220X, Apr Gil-Vera, V.D., Forecasting electricity demand for small colombian populations (2015) Cuaderno Activa, 7 (1), pp. 111-119 Brogliato, B., (2000) Impacts in Mechanical Systems-Analysis and Modelling, 551. , New York, NY, USA: Springer Guckenheimer, J., Holmes, P., (2013) Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, 42. , New York, NY, USA: Springer-Verlag Kuznetsov, Y., (2004) Elements of Applied Bifurcation Theory, , New York, NY, USA: Springer-Verlag Filippov, A.F., (1988) Differential EquationsWith Discontinuous Righthand Sides, , Norwell, MA, USA: Kluwer Di Bernardo, M., Hogan, S.J., Discontinuity-induced bifurcations of piecewise smooth dynamical systems (2010) Phil. Trans. Roy. Soc. A, Math., Phys. Eng. Sci., 368 (1930), pp. 4915-4935. , http://rsta.royalsocietypublishing.org/content/368/1930/4915, Nov Di Bernardo, M., Champneys, A.R., Garofalo, F., Glielmo, L., Vasca, F., Nonlinear phenomena in closed loop DC/DC buck converter (1996) Proc. NDES (Nonlinear Dyn. Electron. Syst.), 1, pp. 51-56 Leine, R., (2000) Bifurcations in Discontinuous Mechanical Systems Of-lippovtype, , Ph. D. dissertation, Dept. Mech. Eng. Dyn. Control, Teknische Universiteit Eindhoven, The Netherlands Di Bernardo, M., Vasca, F., Discrete-time maps for the analysis of bifurcations and chaos in DC/DC converters (2000) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., 47 (2), pp. 130-143. , Feb Ivanov, A.P., Impact oscillations: Linear theory of stability and bifurcations (1994) J. Sound Vibrat., 178 (3), pp. 361-378. , Dec Amador, J.A., (2011) Non-linear and Non-smooth Dynamics Study in Sustainable Development Systems, , M. S. Thesis, Departamento de Ingeniería Eléctrica, Electrónica y Computación, Universidad Nacional de Colombia, Bogotá, Colombia Ghaffarzadegan, N., Richardson, G.P., How small system dynamics models can help the public policy process (2011) Syst. Dyn. Rev., 27 (1), pp. 22-44 Forrester, J.W., System dynamics the next fifty years (2007) Syst. Dyn. Rev., 23 (2), pp. 359-370 Lane, D.C., Sterman, J.D., (2011) Profiles in Operations Research: Pioneers and Innovators, pp. 363-386. , Springer, A. A. Assad and S. I. Gass, Eds. New York, NY, USA: Springer ch. 20 Redondo, J., (2012) Modelado de Mercados de Electricidad, , Ph. D. dissertation, Departamento de Ingeniería Eléctrica, Electrónica y Computación, Universidad Nacional de Colombia, Bogotá, Colombia (2019) Información Inteligente, , http://informacioninteligente10.xm.com.co/transacciones/Paginas/PrecioBolsa.aspx, Accessed: Feb. 6 2019 Weiss, J., Market power and power markets (2002) Interfaces, 32 (5), pp. 37-46. , Oct Perko, L., (2013) Differential Equations and Dynamical Systems, 7. , NewYork, NY, USA: Springer-Verlag Hirth, L., What caused the drop in European electricity prices? A factor decomposition analysis (2018) Energy J., 39 (1), pp. 1-16. , Jan Mosquera-López, S., Nursimulu, A., Drivers of electricity price dynamics: Comparative analysis of spot and futures markets (2019) Energy Policy, 126, pp. 76-87. , http://www.sciencedirect.com/science/article/pii/S0301421518307432, Mar Barlas, Y., Formal aspects of model validity and validation in system dynamics (1996) Syst. Dyn. Rev., 12 (3), pp. 183-210 Qudrat-Ullah, H., Seong, B.S., How to do structural validity of a system dynamics type simulation model: The case of an energy policy model (2010) Energy Policy, 38 (5), pp. 2216-2224. , May (2019) Información Inteligente, , http://informacioninteligente10.xm.com.co/demanda/paginas/default.aspx, Accessed: Feb. 27 2019 Xiang, Z.R., Wang, R.H., Robust stabilization of switched non-linear systems with time-varying delays under asynchronous switching (2009) Proc. Inst. Mech. Eng., I, J. Syst. Control Eng., 223 (8), pp. 1111-1128. , Dec Ibrahim, R.A., (2009) Vibro-Impact Dynamics: Modeling, Mapping and Applications, 43. , Berlin, Germany: Springer-Verlag Leine, R.I., Van Campen, D.H., Keultjes, W.J.G., Stick-slip whirl interaction in drillstring dynamics (2002) J. Vibrat. Acoust., 124 (2), pp. 209-220. , Apr Fang, H., Xu, J., Stick-slip effect in a vibration-driven system with dry friction: Sliding bifurcations and optimization (2014) J. Appl. Mech., 81 (5). , May Kuznetsov, Y.A., Rinaldi, S., Gragnani, A., One-parameter bifurcations in planar-lippov systems (2003) Int. J. Bifurcation Chaos, 13 (8), pp. 2157-2188. , http://www.worldscientific.com/doi/abs/10.1142/S0218127403007874, Aug Verhoog, R., Van Baal, P., Finger, M., (2018) System Dynamics Simulation to Explore the Impact of Low European Electricity Prices on Swiss Generation Capacity Investments, pp. 31-61. , Cham, Switzerland: Springer Assili, M., Ghazi, R., An improved mechanism for capacity payment based on system dynamics modeling for investment planning in competitive electricity environment (2008) Energy Policy, 36 (10), pp. 3703-3713. , http://www.sciencedirect.com/science/article/pii/S030142150800339X, Oct Olsina, F., Garcés, F., Haubrich, H.-J., Modeling long-term dynamics of electricity markets (2006) Energy Policy, 34 (12), pp. 1411-1433. , http://www.sciencedirect.com/science/article/pii/S0301421504003325, Aug |
| dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_16ec |
| rights_invalid_str_mv |
http://purl.org/coar/access_right/c_16ec |
| dc.publisher.none.fl_str_mv |
Institute of Electrical and Electronics Engineers Inc. |
| dc.publisher.program.spa.fl_str_mv |
Ingeniería de Sistemas |
| dc.publisher.faculty.spa.fl_str_mv |
Facultad de Ingenierías |
| publisher.none.fl_str_mv |
Institute of Electrical and Electronics Engineers Inc. |
| dc.source.none.fl_str_mv |
IEEE Access |
| institution |
Universidad de Medellín |
| repository.name.fl_str_mv |
Repositorio Institucional Universidad de Medellin |
| repository.mail.fl_str_mv |
repositorio@udem.edu.co |
| _version_ |
1814159230177902592 |
| spelling |
20202021-02-05T14:58:25Z2021-02-05T14:58:25Z21693536http://hdl.handle.net/11407/598510.1109/ACCESS.2020.3008709This paper reports a general model that describes the supply and demand of electricity in a national market based on the system dynamics (SD) approach. From the resulting SD model, it derives piecewise smooth (non-smooth) differential equations from the nonlinear functions and feedback cycles of the corresponding stock-flow structure. Subsequently, the stability of the equilibrium points and non-smooth dynamics of the SD model are investigated using the dynamical systems theory. Filippov systems are found in the proposed SD model and non-smooth vector fields associated with generators investment decisions are accumulated. Under this combining methodology, the non-smooth dynamics of energy markets that are governed by the supply and demand laws are uncovered mathematically and deeply described. In fact, we extend our investigation results to any energy market model attached to various investment decisions, confirming the generalizability of our research. © 2013 IEEE.engInstitute of Electrical and Electronics Engineers Inc.Ingeniería de SistemasFacultad de Ingenieríashttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85089227718&doi=10.1109%2fACCESS.2020.3008709&partnerID=40&md5=24acf83a7e7d3ef175ef6cadea3929578128877128896Gary, S., Larsen, E.R., Improving firm performance in out-ofequilibrium, deregulated markets using feedback simulation models (2000) Energy Policy, 28 (12), pp. 845-855. , OctBunn, D.W., Larsen, E.R., Sensitivity of reserve margin to factors influencing investment behaviour in the electricity market of England and Wales (1992) Energy Policy, 20 (5), pp. 420-429. , https://www.sciencedirect.com/science/article/abs/pii/0301421592900638, MayFord, A., Cycles in competitive electricity markets: A simulation study of the western United States (1999) Energy Policy, 27 (11), pp. 637-658. , http://linkinghub.elsevier.com/retrieve/pii/S0301421599000506, OctOchoa, P., Van Ackere, A., Policy changes and the dynamics of capacity expansion in the swiss electricity market (2009) Energy Policy, 37 (5), pp. 1983-1998. , http://linkinghub.elsevier.com/retrieve/pii/S0301421509000500, MayBernardo, M., Budd, C., Champneys, A.R., Kowalczyk, P., (2008) Piecewisesmooth Dynamical Systems: Theory and Applications, 163. , London, U. K.: Springer-VerlagJebaraj, S., Iniyan, S., A review of energy models (2006) Renew. Sustain. Energy Rev., 10 (4), pp. 281-311. , http://linkinghub.elsevier.com/retrieve/pii/S1364032104001261, AugFoley, A.M., Gallachóir, B.P.ó., Hur, J., Baldick, R., McKeogh, E.J., A strategic review of electricity systems models (2010) Energy, 35 (12), pp. 4522-4530. , http://linkinghub.elsevier.com/retrieve/pii/S0360544210001866, DecTeufel, F., Miller, M., Genoese, M., Fichtner, W., Review of system dynamics models for electricity market simulations (2013) Work. Paper Ser. Prod. Energy, KIT, , Karlsruhe, Germany, Tech. Rep. 2Ahmad, S., Tahar, R.M., Muhammad-Sukki, F., Munir, A.B., Rahim, R.A., Application of system dynamics approach in electricity sector modelling: A review (2016) Renew. Sustain. Energy Rev., 56, pp. 29-37. , AprBorshchev, A., Filippov, A., From system dynamics and discrete event to practical agent based modeling: Reasons, techniques, tools (2004) Proc. 22nd Int. Conf. Syst. Dyn. Soc., 22, pp. 25-29Mehrabadi, R.A., Moghaddam, M.P., Sheikh-El-Eslami, M.K., Generation expansion planning in multi electricity markets considering environmental impacts (2020) J. Cleaner Prod., 243. , JanMorcillo, J.D., Angulo, F., Franco, C.J., Analyzing the hydroelectricity variability on power markets from a system dynamics and dynamic systems perspective: Seasonality and ENSO phenomenon (2020) Energies, 13 (9), p. 2381. , MayNaill, R.F., A system dynamics model for national energy policy planning (1992) Syst. Dyn. Rev., 8 (1), pp. 1-19Dyner, I., Energy modelling platforms for policy and strategy support (2000) J. Oper. Res. Soc., 51 (2), pp. 136-144. , http://www.jstor.org/stable/254253, FebSterman, J.D., (2000) Business Dynamics, , 1st Ed. New York, NY, USA: McGraw-HillFord, A., Wright, J., Prize, F., System dynamics and the electric power industry (1997) Syst. Dyn. Rev., 13 (1), pp. 57-85Aracil, J., On the qualitative properties in system dynamics models (1999) Eur. J. Econ. Social Syst., 13 (1), pp. 1-18. , http://www.edpsciences.org/10.1051/ejess:1999100Djemai, M., Defoort, M., Hybrid dynamical systems (2015) Solves Problems in the Analysis and Control of Hybrid Dynamical Systems (Lecture Notes in Control and Information Sciences), 457. , Cham, Switzerland: SpringerNatsiavas, S., Analytical modeling of discrete mechanical systems involving contact, impact, and friction (2019) Appl. Mech. Rev., 71 (5). , SepZnegui, W., Gritli, H., Belghith, S., Design of an explicit expression of the poincaré map for the passive dynamic walking of the compass-gait biped model (2020) Chaos, Solitons Fractals, 130. , JanGedeon, T., Multi-parameter exploration of dynamics of regulatory networks (2020) Biosystems, 190. , AprEl Aroudi, A., Giaouris, D., Iu, H.H.-C., Hiskens, I.A., A review on stability analysis methods for switching mode power converters (2015) IEEE J. Emerg. Sel. Topics Circuits Syst., 5 (3), pp. 302-315. , SepAvrutin, V., Zhusubaliyev, Z.T., Suissa, D., El Aroudi, A., Nonobservable chaos in piecewise smooth systems (2020) Nonlinear Dyn., 99 (3), pp. 2031-2048. , FebMorcillo, J.D., Burbano, D., Angulo, F., Adaptive ramp technique for controlling chaos and subharmonic oscillations in DC-DC power converters (2016) IEEE Trans. Power Electron., 31 (7), pp. 5330-5343. , JulMa, L., Huo, X., Zhao, X., Niu, B., Zong, G., Adaptive neural control for switched nonlinear systems with unknown backlash-like hysteresis and output dead-zone (2019) Neurocomputing, 357, pp. 203-214. , SepGrimble, M.J., Majecki, P., Introduction to nonlinear systems modelling and control (2020) Nonlinear Industrial Control Systems, pp. 3-63. , London, U. K.: Springer-VerlagWang, X., Wang, Y., Novel dynamics of a predator-prey system with harvesting of the predator guided by its population (2017) Appl. Math. Model., 42, pp. 636-654. , http://www.sciencedirect.com/science/article/pii/S0307904X16305212, FebYoshioka, H., Yaegashi, Y., Optimization model to start harvesting in stochastic aquaculture system (2017) Appl. Stochastic Models Bus. Ind., 33 (5), pp. 476-493. , SepMorcillo, J.D., Franco, C.J., Angulo, F., Simulation of demand growth scenarios in the colombian electricity market: An integration of system dynamics and dynamic systems (2018) Appl. Energy, 216, pp. 504-520. , http://www.sciencedirect.com/science/article/pii/S0306261918302290, AprRedondo, J.M., Olivar, G., Ibarra-Vega, D., Dyner, I., Modeling for the regional integration of electricity markets (2018) Energy Sustain. Develop., 43, pp. 100-113. , https://www.sciencedirect.com/science/article/pii/S097308261730220X, AprGil-Vera, V.D., Forecasting electricity demand for small colombian populations (2015) Cuaderno Activa, 7 (1), pp. 111-119Brogliato, B., (2000) Impacts in Mechanical Systems-Analysis and Modelling, 551. , New York, NY, USA: SpringerGuckenheimer, J., Holmes, P., (2013) Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, 42. , New York, NY, USA: Springer-VerlagKuznetsov, Y., (2004) Elements of Applied Bifurcation Theory, , New York, NY, USA: Springer-VerlagFilippov, A.F., (1988) Differential EquationsWith Discontinuous Righthand Sides, , Norwell, MA, USA: KluwerDi Bernardo, M., Hogan, S.J., Discontinuity-induced bifurcations of piecewise smooth dynamical systems (2010) Phil. Trans. Roy. Soc. A, Math., Phys. Eng. Sci., 368 (1930), pp. 4915-4935. , http://rsta.royalsocietypublishing.org/content/368/1930/4915, NovDi Bernardo, M., Champneys, A.R., Garofalo, F., Glielmo, L., Vasca, F., Nonlinear phenomena in closed loop DC/DC buck converter (1996) Proc. NDES (Nonlinear Dyn. Electron. Syst.), 1, pp. 51-56Leine, R., (2000) Bifurcations in Discontinuous Mechanical Systems Of-lippovtype, , Ph. D. dissertation, Dept. Mech. Eng. Dyn. Control, Teknische Universiteit Eindhoven, The NetherlandsDi Bernardo, M., Vasca, F., Discrete-time maps for the analysis of bifurcations and chaos in DC/DC converters (2000) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., 47 (2), pp. 130-143. , FebIvanov, A.P., Impact oscillations: Linear theory of stability and bifurcations (1994) J. Sound Vibrat., 178 (3), pp. 361-378. , DecAmador, J.A., (2011) Non-linear and Non-smooth Dynamics Study in Sustainable Development Systems, , M. S. Thesis, Departamento de Ingeniería Eléctrica, Electrónica y Computación, Universidad Nacional de Colombia, Bogotá, ColombiaGhaffarzadegan, N., Richardson, G.P., How small system dynamics models can help the public policy process (2011) Syst. Dyn. Rev., 27 (1), pp. 22-44Forrester, J.W., System dynamics the next fifty years (2007) Syst. Dyn. Rev., 23 (2), pp. 359-370Lane, D.C., Sterman, J.D., (2011) Profiles in Operations Research: Pioneers and Innovators, pp. 363-386. , Springer, A. A. Assad and S. I. Gass, Eds. New York, NY, USA: Springer ch. 20Redondo, J., (2012) Modelado de Mercados de Electricidad, , Ph. D. dissertation, Departamento de Ingeniería Eléctrica, Electrónica y Computación, Universidad Nacional de Colombia, Bogotá, Colombia(2019) Información Inteligente, , http://informacioninteligente10.xm.com.co/transacciones/Paginas/PrecioBolsa.aspx, Accessed: Feb. 6 2019Weiss, J., Market power and power markets (2002) Interfaces, 32 (5), pp. 37-46. , OctPerko, L., (2013) Differential Equations and Dynamical Systems, 7. , NewYork, NY, USA: Springer-VerlagHirth, L., What caused the drop in European electricity prices? A factor decomposition analysis (2018) Energy J., 39 (1), pp. 1-16. , JanMosquera-López, S., Nursimulu, A., Drivers of electricity price dynamics: Comparative analysis of spot and futures markets (2019) Energy Policy, 126, pp. 76-87. , http://www.sciencedirect.com/science/article/pii/S0301421518307432, MarBarlas, Y., Formal aspects of model validity and validation in system dynamics (1996) Syst. Dyn. Rev., 12 (3), pp. 183-210Qudrat-Ullah, H., Seong, B.S., How to do structural validity of a system dynamics type simulation model: The case of an energy policy model (2010) Energy Policy, 38 (5), pp. 2216-2224. , May(2019) Información Inteligente, , http://informacioninteligente10.xm.com.co/demanda/paginas/default.aspx, Accessed: Feb. 27 2019Xiang, Z.R., Wang, R.H., Robust stabilization of switched non-linear systems with time-varying delays under asynchronous switching (2009) Proc. Inst. Mech. Eng., I, J. Syst. Control Eng., 223 (8), pp. 1111-1128. , DecIbrahim, R.A., (2009) Vibro-Impact Dynamics: Modeling, Mapping and Applications, 43. , Berlin, Germany: Springer-VerlagLeine, R.I., Van Campen, D.H., Keultjes, W.J.G., Stick-slip whirl interaction in drillstring dynamics (2002) J. Vibrat. Acoust., 124 (2), pp. 209-220. , AprFang, H., Xu, J., Stick-slip effect in a vibration-driven system with dry friction: Sliding bifurcations and optimization (2014) J. Appl. Mech., 81 (5). , MayKuznetsov, Y.A., Rinaldi, S., Gragnani, A., One-parameter bifurcations in planar-lippov systems (2003) Int. J. Bifurcation Chaos, 13 (8), pp. 2157-2188. , http://www.worldscientific.com/doi/abs/10.1142/S0218127403007874, AugVerhoog, R., Van Baal, P., Finger, M., (2018) System Dynamics Simulation to Explore the Impact of Low European Electricity Prices on Swiss Generation Capacity Investments, pp. 31-61. , Cham, Switzerland: SpringerAssili, M., Ghazi, R., An improved mechanism for capacity payment based on system dynamics modeling for investment planning in competitive electricity environment (2008) Energy Policy, 36 (10), pp. 3703-3713. , http://www.sciencedirect.com/science/article/pii/S030142150800339X, OctOlsina, F., Garcés, F., Haubrich, H.-J., Modeling long-term dynamics of electricity markets (2006) Energy Policy, 34 (12), pp. 1411-1433. , http://www.sciencedirect.com/science/article/pii/S0301421504003325, AugIEEE AccessComplexitydynamic systemsenergy marketsenergy policyFillipov systemsmodelingnon-smooth dynamicpower marketssimulationssystem dynamicsDifferential equationsDynamical systemsNonlinear equationsPower marketsSystem theoryDynamical systems approachEnergy market modelingEquilibrium pointInvestment decisionsNon-smooth dynamicsNon-smooth vector fieldsNonlinear functionsSupply and demandInvestmentsNon-Smooth Dynamics in Energy Market Models: A Complex Approximation from System Dynamics and Dynamical Systems ApproachArticleinfo:eu-repo/semantics/articlehttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Valencia-Calvo, J., Universidad de Aysén, Aysén, Chile, Universidad de Medellín, Medellín, 050036, ColombiaOlivar-Tost, G., Universidad de Aysén, Aysén, Chile, Universidad Nacional de Colombia, Manizales, 170003, ColombiaMorcillo-Bastidas, J.D., Universidad de Monterrey, Monterrey, MexicoFranco-Cardona, C.J., Universidad Nacional de Colombia, Medellín, ColombiaDyner, I., Fundación Universidad de Bogotá Jorge Tadeo Lozano, Bogota, Colombiahttp://purl.org/coar/access_right/c_16ecValencia-Calvo J.Olivar-Tost G.Morcillo-Bastidas J.D.Franco-Cardona C.J.Dyner I.11407/5985oai:repository.udem.edu.co:11407/59852021-02-05 09:58:25.771Repositorio Institucional Universidad de Medellinrepositorio@udem.edu.co |