An Instantaneous Power Theory Extension for the Inter-Phase Power Imbalance Problem

Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Publication Type:
Journal Article
Citation:
IEEE Transactions on Power Electronics, 2024, PP, (99), pp. 1-10
Issue Date:
2024-01-01
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1727337.pdfPublished version3.65 MB
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In grid-connected power converters, active and reactive power references are typically provided for calculating current and/or voltage references. This is generally achieved by using the standard instantaneous power theory (IPT). However, when a converter is required to operate with different per-phase power levels, the IPT cannot be applied to fully describe this inter-phase power interaction. To address this limitation, this work presents an interpretation of the inter-phase power imbalance problem, which enables the representation of the system as a combined electrical interaction between the unequal per-phase active powers on the inverter side and balanced power on the grid side. To achieve this, a Clarke transformation based on sequence order rotation is proposed. Thus, per-phase quadrature $\alpha \beta$-components can be obtained, allowing the instantaneous per-phase unbalanced power on the inverter side to be analytically derived. Based on this representation, an analytical expression of the instantaneous zero-sequence voltage (ZSV) is obtained. This ZSV allows one to extract unbalanced per-phase power on the inverter side while injecting balanced power on the grid side. A case study showing experimental results from a 10 kVA cascaded H-bridge converter applied to a scaled-down medium-voltage (MV) photovoltaic system are presented.
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