Continuous State-Space Modeling of Switched Electric Networks

Posted by on Oct 21, 2009 in Automated State Model Generator, Charles Eric Lucas, Electronics, Eric A. Walters, Oleg Wasynczuk, Power Systems, Publications | 0 comments

J. Jatskevich, O. Wasynczuk, E. A. Walters, C. E. Lucas, PC Krause and Associates, Inc. An Automated State Model Generator (ASMG) is a tool for modeling and analysis of lumped-parameter power-electronic-based systems. In this modeling approach, the minimal state-space representation of the overall system is generated automatically and updated dynamically based upon the topological state of the system. However, due to the changing topology, simulation of a switched circuit using the ASMG requires the concatenation of solutions to the initial value problems (IVPs) corresponding to the time intervals between commutations. In this paper, a transformation of state variables is derived such that the states are continuous throughout the simulation process. This feature eliminates the need to re-initialize the ODE solver. The continuous state algorithm is verified on a high-pulse-count power supply and sets the stage for state-space averaging and system-level analysis of switched circuits. Proceedings IEEE International Conference on Control Applications, vol. 1, September 2000, pp....

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Analysis of Operational Modes of Switched Electrical Networks

Posted by on Oct 21, 2009 in Charles Eric Lucas, Electronics, Eric A. Walters, Oleg Wasynczuk, Power Systems, Publications | 0 comments

J. Jatskevich, O. Wasynczuk, S. D. Pekarek, Purdue University; C. E. Lucas, E. A. Walters, PC Krause and Associates, Inc. In the analysis of power-electronic-based energy conversion systems, it is important to identify the operational modes of the associated converters and inverters. However, as the number of switching elements increases, it becomes more difficult to analytically establish all possible modes of operation. In this paper, a modeling technique is described wherein a state-space representation of the overall system is generated automatically and updated dynamically as each new topology is encountered. Utilizing this approach, it becomes possible to identify the operational modes of converters and inverters based upon the cyclically repeated sequences of topologies that can be observed during steady-state operation. To demonstrate this technique, an example system comprised of a 6-phase synchronous machine, rectifier, and interphase transformer is considered. This system exhibits several distinct modes of operation that depend upon specific circuit connections. These operating modes are automatically identified using the proposed methodology and the results are compared with measured dynamic performance. SAE Transactions Journal of Aerospace, sec. 1, set 3, Month, 2000, pp....

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An Observer-Based Automated Averaging Technique for Power Electronic Circuits

Posted by on Oct 21, 2009 in Electronics, Eric A. Walters, Oleg Wasynczuk, Power Systems, Publications | 0 comments

E. A. Walters, O. Wasynczuk, J. V. Jatskevich, C. E. Lucas, PC Krause and Associates, Inc. Average-value models are commonly used in the design and analysis of power electronic-based systems as a method of portraying the overall system dynamics while neglecting discontinuities that arise from switching. Although numerous averaging methodologies have been developed to eliminate discontinuities, they are typically limited to specific circuits operating in specific modes. Therefore, substantial analytical effort is generally required to select an appropriate averaging technique and develop the corresponding average-value model that is valid for a given converter. To reduce this effort, an automated averaging technique is set forth in which an averaged model is established via coupling with a detailed simulation of the system. The structure of the averaged model is based upon state-space averaging with the detailed simulation used to calculate state models for each switching topology, the time spent per cycle in each topology, and the operating mode (continuous or discontinuous) of the circuit. However, since classical state-space averaging is not applicable to circuits with state-dependent switching logic and does not portray high- frequency dynamics associated with discontinuous states, a state feedback loop is introduced such that the high-frequency dynamics associated with state- dependent switching or discontinuous modes are accurately portrayed. To demonstrate the new technique, to example systems are examined, a PWM-controlled buck converter operating in both continuous and discontinuous modes and buck converter with a hysteresis current controller. The new averaging technique is verified by comparison with established analytical and numerical methods. SAE Transac­tions Journal of Aerospace, sec. 1, set 3, Month 2000, pp....

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