Abstract
Recent advances in the real-time simulation of electric machines are linked with the increase in the operation speed of the numerical models retaining the calculation accuracy. We propose utilizing the method of average voltages at the integration step (AVIS) for the design of a three-phase induction machine’s model in its natural abc reference frame. The method allows for avoiding rotational e.m.f. calculation at every step; in turn, the electromagnetic energy conversion is accounted by the change of flux-linkage. The model is integrated into the object-oriented environment in C++ for designing the computer models of electromechanical systems. The design of the model of an electromechanical system utilizing the proposed approach is explained in an example. The behavior of the numerical models of a three-phase IM has been compared for the set of conventional numerical methods as well as first- and second-order AVIS. It has been demonstrated that both first- and second-order AVIS methods are suitable tools for high-speed applications, namely, AVIS provides higher maximum possible integration step (e.g., first-order AVIS provides 4 times higher than the second-order Runge–Kutta method, and the second-order AVIS provides 2.5 times higher than the first-order method). Therefore, we consider the most preferable order of the AVIS method for the high-speed applications is the second order, while the first order may be a suitable alternative to increase the calculation speed by 30% with the acceptable decrease in the accuracy.
Highlights
Plenty of approaches are proposed to develop the models of rotating electric machines; many of them are examined in a review [1]
We propose utilizing the method of average voltages at the integration step (AVIS) for the design of a three-phase induction machine’s model in its natural abc reference frame. e method allows for avoiding rotational e.m.f. calculation at every step; in turn, the electromagnetic energy conversion is accounted by the change of flux-linkage. e model is integrated into the object-oriented environment in C++ for designing the computer models of electromechanical systems. e design of the model of an electromechanical system utilizing the proposed approach is explained in an example. e behavior of the numerical models of a three-phase IM has been compared for the set of conventional numerical methods as well as first- and second-order AVIS
Most problems related to the design and analysis of electromechanical systems (EMS) require less accurate representation of the machine; e.g., in [3], the simplified IM model is exploited for power system dynamic analysis
Summary
Plenty of approaches are proposed to develop the models of rotating electric machines; many of them are examined in a review [1]. In [9], both are examined in detail, but the use of orthogonal reference frames reduces the number of equations and allows avoiding interdependences between axes As it was mentioned in [12], the standard dq0 IM model calculates the current after the fundamental harmonic and the average torque—only near the operating point. Reducing the number of equations is critical for the high-speed applications; the representation of an IM in an orthogonal reference frame is widely utilized for the real-time applications, e.g., in [13], for the real-time emulation of induction motor loaded with a centrifugal compressor. We limit ourselves to the model of an IM in a natural abc reference frame as far as it provides the ability of modeling plenty of possible machine’s modes of operation, remaining simple for the calculation, e.g., in comparison with finite element models. We summarize the results reported earlier by us in [21,22,23] as well as deepen the mathematical background of our previous works
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