Dr. Ahmed G. Abo-Khalil

Electrical Engineering Department

Harmonic function

In mathematics, mathematical physics and the theory ofstochastic processes, a harmonic function is a twicecontinuously differentiable function f : U → R (where U is anopen subset of Rn) which satisfies Laplace's equation, i.e.

frac{partial^2f}{partial x_1^2} + frac{partial^2f}{partial x_2^2} + cdots + frac{partial^2f}{partial x_n^2} = 0

everywhere on U. This is usually written as

abla^2 f = 0

or

extstyle Delta f = 0

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2019 IEEE Power and Energy Conference at Illinois (PECI)

2019 International Conference on Electrical Systems for Aircraft, Railway, Ship Propulsion and Road Vehicles (ESARS)
2019 Clemson University Power Systems Conference (PSC)
2019 IEEE Applied Power Electronics Conference and Exposition (APEC)

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