Estimation of composite load model with aggregate induction motor dynamic load for an isolated hybrid power system

Abstract

It is well recognized that the voltage stability of a power system is affected by the load model and hence, to effectively analyze the reactive power compensation of an isolated hybrid wind-diesel based power system, the loads need to be considered along with the generators in a transient analysis. This paper gives a detailed mathematical modeling to compute the reactive power response with small voltage perturbation for composite load. The composite load is a combination of the static and dynamic load model. To develop this composite load model, the exponential load is used as a static load model and induction motors (IMs) are used as a dynamic load model. To analyze the dynamics of IM load, the fifth, third and first order model of IM are formulated and compared using differential equations solver in Matlab coding. Since the decentralized areas have many small consumers which may consist large numbers of IMs of small rating, it is not realistic to model either a single large rating unit or all small rating IMs together that are placed in the system. In place of using a single large rating IM, a group of motors are considered and then the aggregate model of IM is developed using the law of energy conservation. This aggregate model is used as a dynamic load model. For different simulation studies, especially in the area of voltage stability with reactive power compensation of an isolated hybrid power system, the transfer function \mathrm{\Delta }Q/\mathrm{\Delta }V of the composite load is required. The transfer function of the composite load is derived in this paper by successive derivation for the exponential model of static load and for the fifth and third order IM dynamic load model using state space model.

Keywords

isolated hybrid power system (IHPS) / composite load model / static load / dynamic load / induction motor load model / aggregate load

参考文献

[1] Sharma P, Kumar Saxena N, Ramakrishna K S S, Bhatti T S. Reactive power compensation of isolated wind-diesel hybrid power systems with STATCOM and SVC. International Journal on Electrical Engineering and Informatics, 2010, 2(3): 192–203

[2] Hunter R, Elliot G. Wind-diesel systems, a guide to the technology and its implementation. Cambridge: Cambridge University Press, 1994

[3] Cardenas R, Pena R, Perez M, Clare J, Asher G, Vargas F. Vector control of frond end converters for variable speed wind-diesel systems. IEEE Transactions on Industrial Electronics, 2006, 53(4): 1127–1136

[4] Bansal R C, Bhatti T S, Kumar V. Reactive power control of autonomous wind diesel hybrid power systems using ANN. In: Proceedings of the International Power Engineering Conference, Singapore, 2007, 982–987

[5] Bansal R C. Automatic reactive power control of autonomous hybrid power system. Dissertation for the Doctoral Degree. Delhi: Indian Institute of Technology, 2002

[6] Sharma P, Saxena N K, Bhatti T S. Study of autonomous hybrid power system using SVC and STATCOM. In: Proceedings of International Conference on Power Systems. Kharagpur, India, 2009, 27–29

[7] Stojanović D P, Korunović L M, Milanović J V. Dynamic load modelling based on measurements in medium voltage distribution network. Electric Power Systems Research, 2008, 78(2): 228–238

[8] Kim B H, Kim H, Lee B, 0. Kim H, Lee B. Parameter estimation for the composite load model. Journal of International Council on Electrical Engineering, 2012, 2(2): 215–218

[9] Parveen T. Composite load model decomposition: induction motor contribution. Dissertation for the Doctoral Degree. Brisbane: Queensland University of Technology, 2009

[10] Choi B K, Chiang H D, Li Y, Chen Y T, Huang D H, Lauby M G. Development of composite load models of power systems using on-line measurement data. Journal of Electrical Engineering & Technology, 2006, 1(2): 161–169

[11] Aree P. Aggregating method of induction motor group using energy conservation law. ECTI Transactions on Electrical & Computer Engineering, 2014, 12(1): 1–6

[12] Muriuki J K, Muriithi C M. Comparison of aggregation of small and large induction motors for power system stability study. Global Engineers & Technologists Review, 2013, 3(2): 9–13

[13] Sharma P, Bhatti T S. Performance investigation of isolated wind-diesel hybrid power systems with WECS having PMIG. IEEE Transactions on Industrial Electronics, 2013, 60(4): 1630–1637

[14] Bansal R C, Bhatti T S, Kothari D P. A novel mathematical modelling of induction generator for reactive power control of isolated hybrid power systems. International Journal of Modelling and Simulation, 2004, 24(1): 1–7

[15] Sharma P, Sulkowski W, Hoff B. Dynamic stability study of an isolated wind-diesel hybrid power system with wind power generation using IG, PMIG and PMSG: a comparison. International Journal of Electrical Power and Energy Systems, 2013, 53: 857–866

[16] Vachirasricirikul S, Ngamroo I, Kaitwanidvilai S. Coordinated SVC and AVR for robust voltage control in a hybrid wind-diesel system. Energy Conversion and Management, 2010, 51(12): 2383–2393

[17] Saxena N, Kumar A. Load modeling interaction on hybrid power system using STATCOM. In: Proceedings of Annual IEEE India Conference. Kolkata, India, 2010.

[18] Kosterev D, Meklin A. Load modelling in WECC. Power Systems Conference and Exposition (PSCE’06), 2006, 576–581

[19] Fahmy O M, Attia A S, Badr M A L. A novel analytical model for electrical loads comprising static and dynamic components. Electric Power Systems Research, 2007, 77(10): 1249–1256

[20] Hiskens I A, Milanovic J V. Load modelling in studies of power system damping. IEEE Transactions on Power Systems, 1995, 10(4): 1781–1788

[21] Krause P C, Wasynczuk O, Sudhoff S D. Analysis of Electric Machinery and Drive Systems, 2nd Ed. New York: John Wiley & Sons Publication-IEEE Press, 2002

[22] Lehtla T. Parameter identification of an induction motor using fuzzy logic controller. 2014-10

[23] Sandhu K S, Pahwa V. A novel approach to incorporate the main flux saturation effect in a three-phase induction machine during motoring and plugging. International Journal of Computer and Electrical Engineering, 2011, 3(3): 443–448

[24] Kundur P. Power System Stability and Control. India: Tata-Mcgraw-Hill, 2006

[25] Boldea I, Nasar S A. The Induction Machine Handbook. New York, USA: CRC Press LLC, 2001, Chapter 13

[26] Wang K, Chiasson J, Bodson M, Tolbert L M. A nonlinear least-squares approach for identification of the induction motor parameters. In: Proceedings of the 43rd IEEE Conference on Decision and Control. Atlantis, Paradise Island, Bahamas, 2004, 14–17

[27] Pedra J, Sainz L, Corcoles F. Study of aggregate models for squirrel-cage induction motors. IEEE Transactions on Power Systems, 2005, 20(3): 1519–1527

版权

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