A generalized compensation theory for active filters based on mathematical optimization in ABC frame

This paper presents a generalization of the ABC compensation theory based on mathematical optimization which integrates the neutral losses into the optimization model. The classical ABC theory is shown to be a particular case of the presented generalized compensation approach. The main contribution of this paper is the generalization of the ABC theory considering conflictive objectives which include among them the minimization of the network losses. The work presented here takes into account not only conventional balanced and pure sinusoidal voltage source but also unbalances and harmonic distortions on the voltage. Four different compensation objectives are studied: invariant instantaneous power, constant power, unity power factor, and pure sinusoidal current. Through these four cases, the flexibility and simplicity of implementation of this approach is demonstrated. In addition, the proposed compensation strategy optimizes the line currents and therefore minimizes the network losses. The main contributions A simulation study which considers the switching effect, the control of the DC link and the size of the shunt compensator is presented. Experimental tests are carried out to verify the theory.

► We propose a new general strategy for reactive power compensation and active filtering based on mathematical optimization in the ABC frame.
► Neutral wire losses are considered directly in the optimization model.
► Four different compensation objectives are achieve using the same optimization approach.
► The compensation theory is as exible as other methodologies but with a simpler implementation.
► Experimental tests are carried out to verify the theory and the simplicity of its implementation.