Macromodeling of Electric Machines from Ab Initio Models

Ajay Pratap Yadav; Tuncay Altun; Ramtin Madani; Ali Davoudi

doi:10.1109/TEC.2020.2970965

Macromodeling of Electric Machines from Ab Initio Models

Ajay Pratap Yadav
, Tuncay Altun
, Ramtin Madani
, Ali Davoudi

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

We extract the lumped-parameter model of a wound-rotor synchronous machine from its physics-based magnetic-equivalent circuit model. Model extraction is formulated as a weighted least square optimization with nonlinear constraints in which time-domain trajectories of flux linkages, currents, and the electromagnetic torque are used as input data to obtain the parameters of the qd0 model of the machine. The resulting problem is non-convex and cannot be solved using standard methods. The optimization problem is, therefore, convexified using a cone programming relaxation. The solution to the relaxed problem is used as an initial point for the interior-point method, leading to a reliable framework. Accurate estimations on stator resistance, leakage and mutual inductances in stator and rotor, rotor speed, effective turns-ratio between the field and stator windings, and the number of poles are obtained. Estimated parameters are validated against measured and estimated values reported in literature, and are used to develop a behavioral qd0 macromodel of the machine.

Original language	English
Article number	8979159
Pages (from-to)	908-916
Number of pages	9
Journal	IEEE Transactions on Energy Conversion
Volume	35
Issue number	2
DOIs	https://doi.org/10.1109/TEC.2020.2970965
State	Published - Jun 2020
Externally published	Yes

Funding

Manuscript received July 31, 2019; revised December 17, 2019; accepted January 28, 2020. Date of publication February 3, 2020; date of current version May 20, 2020. This work was supported by the National Science Foundation under Grant ECCS-1509804. The work of T. Altun was supported by the National Science Foundation under Award ECCS-1809454. Paper no. TEC-00803-2019. (Corresponding author: Ali Davoudi.) The authors are with the Department of Electrical Engineering, University of Texas, Arlington, TX 76019 USA (e-mail: [email protected]; [email protected]; [email protected]; [email protected]).

Keywords

Convex relaxation
cone programming
magnetic-equivalent circuit
parameter estimation
wound-rotor synchronous machine

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10.1109/TEC.2020.2970965

Cite this

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title = "Macromodeling of Electric Machines from Ab Initio Models",

abstract = "We extract the lumped-parameter model of a wound-rotor synchronous machine from its physics-based magnetic-equivalent circuit model. Model extraction is formulated as a weighted least square optimization with nonlinear constraints in which time-domain trajectories of flux linkages, currents, and the electromagnetic torque are used as input data to obtain the parameters of the qd0 model of the machine. The resulting problem is non-convex and cannot be solved using standard methods. The optimization problem is, therefore, convexified using a cone programming relaxation. The solution to the relaxed problem is used as an initial point for the interior-point method, leading to a reliable framework. Accurate estimations on stator resistance, leakage and mutual inductances in stator and rotor, rotor speed, effective turns-ratio between the field and stator windings, and the number of poles are obtained. Estimated parameters are validated against measured and estimated values reported in literature, and are used to develop a behavioral qd0 macromodel of the machine.",

keywords = "Convex relaxation, cone programming, magnetic-equivalent circuit, parameter estimation, wound-rotor synchronous machine",

author = "Yadav, \{Ajay Pratap\} and Tuncay Altun and Ramtin Madani and Ali Davoudi",

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year = "2020",

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T1 - Macromodeling of Electric Machines from Ab Initio Models

AU - Yadav, Ajay Pratap

AU - Altun, Tuncay

AU - Madani, Ramtin

AU - Davoudi, Ali

PY - 2020/6

Y1 - 2020/6

N2 - We extract the lumped-parameter model of a wound-rotor synchronous machine from its physics-based magnetic-equivalent circuit model. Model extraction is formulated as a weighted least square optimization with nonlinear constraints in which time-domain trajectories of flux linkages, currents, and the electromagnetic torque are used as input data to obtain the parameters of the qd0 model of the machine. The resulting problem is non-convex and cannot be solved using standard methods. The optimization problem is, therefore, convexified using a cone programming relaxation. The solution to the relaxed problem is used as an initial point for the interior-point method, leading to a reliable framework. Accurate estimations on stator resistance, leakage and mutual inductances in stator and rotor, rotor speed, effective turns-ratio between the field and stator windings, and the number of poles are obtained. Estimated parameters are validated against measured and estimated values reported in literature, and are used to develop a behavioral qd0 macromodel of the machine.

AB - We extract the lumped-parameter model of a wound-rotor synchronous machine from its physics-based magnetic-equivalent circuit model. Model extraction is formulated as a weighted least square optimization with nonlinear constraints in which time-domain trajectories of flux linkages, currents, and the electromagnetic torque are used as input data to obtain the parameters of the qd0 model of the machine. The resulting problem is non-convex and cannot be solved using standard methods. The optimization problem is, therefore, convexified using a cone programming relaxation. The solution to the relaxed problem is used as an initial point for the interior-point method, leading to a reliable framework. Accurate estimations on stator resistance, leakage and mutual inductances in stator and rotor, rotor speed, effective turns-ratio between the field and stator windings, and the number of poles are obtained. Estimated parameters are validated against measured and estimated values reported in literature, and are used to develop a behavioral qd0 macromodel of the machine.

KW - Convex relaxation

KW - cone programming

KW - magnetic-equivalent circuit

KW - parameter estimation

KW - wound-rotor synchronous machine

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SP - 908

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JO - IEEE Transactions on Energy Conversion

JF - IEEE Transactions on Energy Conversion

IS - 2

M1 - 8979159

ER -

Macromodeling of Electric Machines from Ab Initio Models

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Keywords

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