Analytical equations of the induction machine

Kanelis, K.

doi:10.1109/icelmach.2016.7732928

“…The derivation of the transient equations has been based on [24], which deviates from the alternative one presented in [23]. In predicting the initial state of the DFIM transients, some initial conditions (written with the subscript 'o') are needed.…”

Section: Fundamental Dfim Transient Equationsmentioning

confidence: 99%

An Analytical Prediction Model of Balanced and Unbalanced Faults in Doubly-Fed Induction Machines

Maurer¹,

Toftevaag²,

Nøland³

2021

Preprint

0

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This paper presents the exact transient solution to the unbalanced and balanced faults in the doubly-fed induction machine (DFIM). Stator currents, rotor currents, and stator fluxes have been validated using simulation and experiment. The work is meant to strengthen and fasten the predictability of large DFIMs in the design stage to comply with mechanical constraints or grid fault issues. Moreover, the analytical approach reduces the computational costs of large-scale stability studies and is especially suited to the initial phase where a plethora design computations must be carried out for the DFIM before it is checked for its transient interaction with the power system. The possibility to dynamically estimate DFIM performance is simplified by original equations derived from first principles. First, a case study of a large 265.50 MVA DFIM is used to verify the proposed "large machine approximation" using simulation, achieving an exact match. Then, laboratory measurements were conducted on a 10.96 kVA and a 1.94 kVA DFIM to validate the transient current peaks predicted in the proposed analytic expressions for two-phase and three-phase faults, respectively.

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“…The principle of the derivation of the transient equations has been taken from [15] and is different from the ones presented in [14]. This contribution has also derived the complete set of equations as done in [14].…”

Section: A Initial Conditionsmentioning

confidence: 99%

“…A complete set of transient equations of an induction machine is presented in [14], whereas the wellknown expression for an induction machine (doubly fed or not) can be found in [15]. The original contribution of this study lies in the transient equation for DFIM applicable for the "large machine assumption" [15], which can be derived using the work done in [14] adapted for a DFIM. The exact analytical equation for predicting the two-phase short-circuit is presented.…”

Section: Introductionmentioning

confidence: 99%

An Analytical Model for Detailed Transient Fault Analysis of Doubly-Fed Induction Machines

Maurer

¹

,

Nøland

²

2020

2020 International Conference on Electrical Machines (ICEM)

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This paper presents an exact analytical solution to the two-phase and three-phase short-circuit events of the doublyfed induction machine (DFIM). The contribution is intended to strengthen the predictability of DFIMs under the design stage or for control tuning purposes and reduce the computational costs of large-scale transient stability studies of the interconnected power system. In general, the approach enables to simplify and improve the analysis DFIMs. The original analytical equations are derived from first principles. A case study of a doublyfed induction generator (DFIG) is considered, where the "large machine approximation" is shown to be valid as well. The analytical equations are used to predict the torque transients in different handpicked transient scenarios and assessed against numerical simulations. Finally, the proposed analytical model shows excellent agreement with the numerical results in the SIMSEN environment.

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“…This paper takes the transient domain a step further, with an earlier preliminary work already taken as a basis [22]. A complete set of dynamic equations for the induction machine was presented in [23], whereas the well-known expressions for an induction machine were already provided in [24]. However, both of these did not consider the specific case of DFIMs under terminal short-circuits.…”

Section: Introductionmentioning

confidence: 99%

“…However, both of these did not consider the specific case of DFIMs under terminal short-circuits. The original contribution of this study lies in the transient equations for DFIM that are applicable for the "large machine approximation" (refer to [24] for its definition), which are further derived based on the work presented by [23], and specifically adapted for a DFIM. In addition, the exact equations for predicting the unbalanced two-phase fault are also included in this paper, which is in itself a contribution.…”

Section: Introductionmentioning

confidence: 99%

An Analytical Prediction Model of Balanced and Unbalanced Faults in Doubly-Fed Induction Machines

Maurer¹,

Toftevaag²,

Nøland³

2021

Preprint

0

View full text Add to dashboard Cite

This paper presents the exact transient solution to the unbalanced and balanced faults in the doubly-fed induction machine (DFIM). Stator currents, rotor currents, and stator fluxes have been validated using simulation and experiment. The work is meant to strengthen and fasten the predictability of large DFIMs in the design stage to comply with mechanical constraints or grid fault issues. Moreover, the analytical approach reduces the computational costs of large-scale stability studies and is especially suited to the initial phase where a plethora design computations must be carried out for the DFIM before it is checked for its transient interaction with the power system. The possibility to dynamically estimate DFIM performance is simplified by original equations derived from first principles. First, a case study of a large 265.50 MVA DFIM is used to verify the proposed "large machine approximation" using simulation, achieving an exact match. Then, laboratory measurements were conducted on a 10.96 kVA and a 1.94 kVA DFIM to validate the transient current peaks predicted in the proposed analytic expressions for two-phase and three-phase faults, respectively.

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Analytical equations of the induction machine

Cited by 4 publications

References 15 publications

An Analytical Prediction Model of Balanced and Unbalanced Faults in Doubly-Fed Induction Machines

An Analytical Prediction Model of Balanced and Unbalanced Faults in Doubly-Fed Induction Machines

An Analytical Model for Detailed Transient Fault Analysis of Doubly-Fed Induction Machines

An Analytical Prediction Model of Balanced and Unbalanced Faults in Doubly-Fed Induction Machines

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