Advanced numerical methods for simulating nonlinear multirate lumped parameter models. PDF
Preview Advanced numerical methods for simulating nonlinear multirate lumped parameter models.
ADVANCED NUMERICAL METHODS FOR SIMULATING NONLINEAR MULTIRATE LUMPED PARAMETER MODELS by NORBERT HENRYpOERRY Naval Engineer S.M. Electrical Engineering and Computer Science Massachusetts Institute ofTechnology (1989) B.S. Electrical Engineering United States Naval Academy (1983) SUBMITTED TO THE DEPARTMENT OF OCEAN ENGINEERING IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY in the field of NAVAL ELECTRICAL POWER SYSTEMS at the MASSACHUSETTS INSTITUTE OF TECHNOLOGY May 1991 © Norbert H. Doerry 1991 Signature ofAuthor Department ofOcean Engineering 12 May 1991 Certified by James L. Kirtley, Thesis Supervisor Associate Professor of Electrical Engineering Certified by Marija Die, Thesis Supervisor Senior Research Engineer, Department ofElectrical Engineering and Computer Science Accepted by A. Douglas Carmichael, Chairman Ocean Engineering Departmental Graduate Committee 1 - zOQQ n M32J3 ADVANCED NUMERICAL METHODS FOR SIMULATING NONLINEAR MULTIRATE LUMPED PARAMETER MODELS by Norbert H. Doerry Submitted on May 12, 1991 to the Department of Ocean Engineering in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the field of Naval Electrical Power Systems. ABSTRACT Naval shipboard electric power systems are transitioning from the relatively simple distribution of ship service electric power to extremely complex integrated electric drive (IED) systems. The optimal design of warships employing IED is presently hampered by the lack of existing simulation computer tools for analyzing the highly coupled and controlled electro-mechanical systems characteristic of IED. As a first step in the development of a viable computer simulation tool, the numerical algorithm testing program WAVESIM was created. WAVESIM The key contributions of are the systematic treatment of waveforms as an abstract data type, the development of the terminal description of devices, and the use of structuraljacobians in system reduction. WAVESIM represents variables by waveforms consisting of a vector of coefficients and a waveform type code indicating how the coefficients should be interpreted. The principal advantage of using waveforms over conventional discrete point methods is the avoidance of unstable integration techniques since for most waveform types, integration and differentiation are linear matrix operations. WAVESIM Devices are described in by relationships between terminal interface variables. WAVESIM recognizes two types of terminals: normal terminals having both potential and flow variables, and information terminals having only a potential variable. In WAVESIM this manner, can simulate processes involving both energy transfer and control signals. WAVESIM extends the structural jacobian matrix concept to reflect the properties of the dependence of system equations on system variables. The system structural jacobian matrix is constructed from the constitutive device structural jacobian matrices and is used to identfiy a sequence of smaller blocks when can be solved consecutively for all the system variables. To demonstrate and verify the capabilities of WAVESIM, several simulations were WAVESIM conducted. In all simulations, provide results matching data generated by other simulation methods. Thesis Supervisor: James L. Kirtley, Associate Professor of Electrical Engineering Thesis Supervisor: Marija Ilic, Senior Research Engineer, Department of Electrical Engineering and Computer Science -2 The author hereby grants to the United States Government and the Massachusetts Institute of Technology permission to reproduce and distribute copies of this thesis document in whole or in part. Norbert Henry Doerry -3-
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