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This paper presents a division-summation (D-\Sigma) digital control for a three-phase inverter to achieve active and reactive power injection to the ac grid. The proposed D-\Sigma approach summarizes the inductor-current variations over one switching cycle to derive control laws directly, which can overcome the limitation of d–q transformation. The inverter with this control can achieve various power factors (PFs) leading or lagging, by taking into account wide filter-inductance variation and grid-voltage distortion, reducing core size significantly. The control laws for achieving the desired features are derived in detail, and they are expressed in general forms for readily software programming. With the enhancement work of previous research, active and reactive power injection with PF from 0 to 1 can be controlled effectively, so that these control laws can be extended to wide current-tracking applications, such as static synchronous compensator and active power filter. In the design and implementation, the inductance values corresponding to various inductor currents were measured at the startup and stored in the controller for scheduling loop gain cycle by cycle. Measured results from a 10-kVA 3 \phi inverter have confirmed the analysis and discussion of the proposed control approaches. [ABSTRACT FROM PUBLISHER]

This paper presents dc-bus voltage control with a three-phase bidirectional inverter for dc distribution systems. The bidirectional inverter can fulfill both grid connection and rectification modes with power factor correction. The proposed control includes two approaches, one line-cycle regulation approach (OLCRA) and one-sixth line-cycle regulation approach (OSLCRA), which take into account dc-bus capacitance and control dc-bus voltage to track a linear relationship between the dc-bus voltage and inverter inductor current. Since both of the approaches require the parameter of dc-bus capacitance, this paper first presents determination of dc-bus capacitor size and an online capacitance estimation method. With the OLCRA, the inverter tunes the dc-bus voltage every line cycle, which can reduce the frequency of operation-mode change and current distortion. The OSLCRA adjusts current command every one-sixth line cycle to adapt to abrupt dc-bus voltage variation. The two approaches together can prevent dc-bus voltage from wide variation and improve the availability of the dc distribution systems without increasing dc-bus capacitance. Experimental results measured from a three-phase bidirectional inverter have verified the feasibility of the discussed control approaches. [ABSTRACT FROM AUTHOR]