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Energy saving for separately excited DC motor via optimization method with deterministic recursive linear least square algorithm

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Abstract

This paper presents the energy saving for separately excited direct current (DC) motor. The optimization method is adopted to calculate the field current for loss minimization. The appropriate motor and power loss parameters are important for calculating the field current for energy saving. Therefore, the deterministic recursive linear least square (DRLS) algorithm is used for the online estimation of the parameters of separately excited DC motor. Moreover, the adaptive Tabu search is used for the identification of power loss parameters. The results of the energy saving obtained using the optimization method with DRLS algorithm are compared with those obtained using the conventional and optimization methods without parameter estimation. The comparison results indicate that the optimization method with DRLS algorithm can achieve the minimum power loss for separately excited DC motor. The maximum percentage of energy saving is 77.77% compared with the conventional method.

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Abbreviations

LS:

The least square algorithm

DRLS:

The deterministic recursive linear least square

ATS:

Adaptive tabu search

OM:

Optimization method

OM + DRLS:

Optimization method with the deterministic recursive linear least square

\(v_{a}\) :

Armature voltage (V)

\(i_{a}\) :

Armature current (A)

\(R_{a}\) :

Armature resistance (\(\Omega\))

\(L_{a}\) :

Armature inductance (H)

\(v_{f}\) :

Field voltage (V)

\(i_{f}^{{}}\) :

Field current (A)

\(R_{f}\) :

Field resistance (\(\Omega\))

\(L_{f}\) :

Field inductance (H)

\(\omega\) :

Motor speed (rad/s)

\(N\) :

Motor speed (rpm)

\(K_{v}\) :

Voltage constant (Vs/Arad)

\(K_{t}\) :

Torque constant (Nm/A2)

\(J\) :

The moment of inertia (kgm2)

\(B\) :

The viscous friction coefficient (Nms/rad)

\(T_{L}\) :

Torque load (Nm)

\(P_{a}\) :

Armature copper loss (W)

\(P_{f}\) :

Field copper loss (W)

Pm :

Friction and windage losses (W)

\(K_{m}\) :

Constant coefficient of the friction and windage losses

\(P_{i}\) :

Core losses (W)

\(K_{h}\) :

Coefficients of the hysteresis loss

\(K_{e}\) :

Coefficients of the eddy current loss

PBD :

Brush loss (W)

\(V_{e}\) :

Voltage drop across the brushes (V)

\(P_{s}\) :

Stray loss (W)

\(K_{st}\) :

Coefficients of the stray loss (W)

Ploss :

Power loss (W)

Pin :

Input power (W)

Pout :

Output power (W)

\(n\) :

The total data number

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Correspondence to Kongpol Areerak.

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This work was supported by Suranaree University of Technology (SUT).

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Homjan, J., Areerak, K., Areerak, T. et al. Energy saving for separately excited DC motor via optimization method with deterministic recursive linear least square algorithm. Electr Eng 104, 3955–3967 (2022). https://doi.org/10.1007/s00202-022-01593-6

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