Mathematical methods for non-intrusive load monitoring

The calculation of the Discrete Fourier Transform (DFT) of a discrete time signal is a fundamental problem in discrete-time signal processing. This thesis presents algorithms that use methods from number theory and algebra to exploit additional constraints about a signal to aid in the calculation of its DFT. First, an algorithm is presented that estimates the DFT of an unquantized signal given only a quantized version of that signal. Second, an algorithm to estimate the value of one subset of DFT coefficients from knowledge of another subset of DFT coefficients, for an appropriately constrained class of waveforms, is presented and analyzed. Thirdly, an algorithm to classify electrical loads on the basis of a subset of the DFT coefficients of load current is demonstrated. Finally, an embedded system that calculates DFT coefficients of measured current and makes this information available in convenient forms is considered.

Department dc:contributor.department

Massachusetts Institute of Technology. Dept. of Electrical Engineering and Computer Science.

Grantor dc:publisher

Massachusetts Institute of Technology

Year dc:date.issued

2010

Author dc:creator

• Remscrim, Zachary (Zachary N.)

Advisor dc:contributor.advisor

• Steven B. Leeb.

• Electrical Engineering and Computer Science.

Statement dc:rights

• M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.

Licence dc:rights.uri

• http://dspace.mit.edu/handle/1721.1/7582

Language dc:language.iso

eng

Handle dc:identifier.uri

http://hdl.handle.net/1721.1/61617

OAI identifier oai:identifier

oai:dspace.mit.edu:1721.1/61617