Method for modeling conductor surface roughness

A non-transitory computer readable medium for storing a program, executable by a computer system, for modeling surface roughness effect of an electrical conductor, the computer readable medium comprising:

• an identifying code segment for identifying first protrusions of a first level using an original flat surface of the conductor as a first base surface, and for identifying second protrusions of a second level using the first protrusions and the first base surface as a second base surface;
• a determining code segment for determining a first correction factor of the first level using parameters of the first protrusions, and for determining a second correction factor of the second level using parameters of the second protrusions and regarding the second base surface as a smooth surface, the smooth surface being a surface of the conductor without surface roughness effect;
• and
• a final determining code segment for determining a final correction factor of the conductor by multiplying the first correction factor and the second correction factor.

A system comprising:

• a processor configured to execute a computer program for modeling surface roughness effect of an electrical conductor using a multi-level model;
• and
• a memory accessible by the processor and configured to store the computer program, wherein the computer program causes the processor to perform the steps of:
• identifying a plurality of protrusions corresponding to a plurality of model levels, protrusions of a first model level being identified using an original flat surface of the conductor as a base surface, and protrusions of each subsequent model level being identified using protrusions and a base surface of an immediately preceding model level as a base surface of the subsequent model level;
• determining a plurality of level correction factors for the plurality of model levels, respectively, using parameters of the protrusions corresponding to the model levels;
• determining a final correction factor of the conductor by multiplying the plurality of level correction factors;
• and
• calculating a final surface resistance of the conductor by multiplying the final correction factor of the conductor and a surface resistance of the original flat surface of the conductor,
• wherein the protrusions of each subsequent model level are smaller than the protrusions of the immediately preceding model level.