Generic loss minimization for nonlinear synchronous machines by analytical computation of optimal reference currents considering copper and iron losses

Author(s):  
Christoph Hackl ◽  
Julian Kullick ◽  
Niklas Monzen
2020 ◽  
Author(s):  
Christoph Hackl ◽  
Julian Kullick ◽  
Niklas Monzen

The unified theory (introduced in [1]), which allows<br>to analytically solve the optimal feedforward torque control<br>(OFTC) problem of anisotropic synchronous machines (SM),<br>is extended by considering all relevant machine nonlinearities<br>and copper and iron losses and, thus, minimizing the overall<br>(steady-state) losses in the machine. Instead of the well known maximum torque per current (MTPC) operation strategy, maximum torque per losses (MTPL) is realized. The unified theory for the derivation of the analytical solution is briefly recapitulated. Moreover, current and speed dependent iron losses, as well as, magnetic saturation and cross-coupling effects are considered. The resulting nonlinear optimization problem is solved via online linearization of the relevant expressions. The linearization is exemplified for flux linkages and machine torque. The presented decision tree guarantees an optimal operation management and smooth transitions between all operation strategies such as MTPL, field weakening (FW), maximum current (MC) and maximum torque per voltage (MTPV). Finally, the extended unified theory is validated for a real, highly nonlinear SM.


2020 ◽  
Author(s):  
Christoph Hackl ◽  
Julian Kullick ◽  
Niklas Monzen

The unified theory (introduced in [1]), which allows<br>to analytically solve the optimal feedforward torque control<br>(OFTC) problem of anisotropic synchronous machines (SM),<br>is extended by considering all relevant machine nonlinearities<br>and copper and iron losses and, thus, minimizing the overall<br>(steady-state) losses in the machine. Instead of the well known maximum torque per current (MTPC) operation strategy, maximum torque per losses (MTPL) is realized. The unified theory for the derivation of the analytical solution is briefly recapitulated. Moreover, current and speed dependent iron losses, as well as, magnetic saturation and cross-coupling effects are considered. The resulting nonlinear optimization problem is solved via online linearization of the relevant expressions. The linearization is exemplified for flux linkages and machine torque. The presented decision tree guarantees an optimal operation management and smooth transitions between all operation strategies such as MTPL, field weakening (FW), maximum current (MC) and maximum torque per voltage (MTPV). Finally, the extended unified theory is validated for a real, highly nonlinear SM.


Author(s):  
Hai-Jin Chen ◽  
Jin-Yang Li

Purpose The purpose of this paper is to present a simple and effective method to search the optimal turn-on and turn-off angles on-line for the control of the switched reluctance motor (SRM). The optimal turn-on and turn-off angles are defined as the ones that can meet torque production requirements with minimum copper loss. Design/methodology/approach The optimal turn-on and turn-off angles are first defined based on the analysis of the SRM losses and torque production principles. Then the algorithm for optimal angles searching is developed, and the searching parameters are determined through analytical computation. The optimal angles are approached on-line with iterative process. Simulation and experiments are finally performed to verify the proposed method. Findings The presented method can meet torque production requirements while copper loss is minimized. The optimal turn-on and turn-off angles are generally approached within five phase cycles for most of the SRM operation modes. Furthermore, the SRM drive system using the presented method exhibits good dynamics during starting and sudden load operations. Practical implications The presented method is simple, and implementation of it is easy. It is an eligible candidate for industrial applications where energy conversion efficiency is crucial. Originality/value The optimal turn-off angle definition that considers both torque production and copper loss minimization is proposed. The turn-on and turn-off angles are searched independently on-line with little SRM geometrical information. The searching steps are derived through analytical computation and qualitative analysis so that both the searching speed and algorithm convergence are balanced.


2018 ◽  
Vol 81 ◽  
pp. 101-113
Author(s):  
Pedram Asef ◽  
Ramon Bargallo Perpina ◽  
M. R. Barzegaran ◽  
Jianning Dong ◽  
Andrew Lapthorn ◽  
...  

2021 ◽  
Author(s):  
Gereon Goldbeck ◽  
Gerd Bramerdorfer ◽  
Daniel Wockinger ◽  
Christoph Dobler ◽  
Wolfgang Amrhein

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