Table 4.

Offset injection for regulating flying capacitor voltages in 9L-HCHB inverter.

$\mathbf{Cluster} \mathbf{of} {\mathit{v}}_{\mathit{c}\mathit{m}}$	Condition	${∆\mathit{v}}_{\mathit{o}\mathit{f}\mathit{f}\mathit{s},\mathit{F}\mathit{C}}$
		${\mathit{i}}_{\mathit{c}\mathit{m}}\ge 0$	${\mathit{i}}_{\mathit{c}\mathit{m}}<0$
All	$\left|{∆V}_{f,max}\right|\le {\epsilon }_{FC}E$	$0$	$0$
Cluster I ($2\le v_{cm}\le 4$)	${∆V}_{f,max}>{\epsilon }_{FC}E$	$4-v_{cm}$	$2-v_{cm}$
	${∆V}_{f,max}<-{\epsilon }_{FC}E$	$2-v_{cm}$	$4-v_{cm}$
Cluster II ($0\le v_{cm}<2$)	${∆V}_{f,max}>{\epsilon }_{FC}E$	$1-v_{cm}$	$2-v_{cm}$
	${∆V}_{f,max}<-{\epsilon }_{FC}E$	$2-v_{cm}$	$1-v_{cm}$
Cluster III ($-2\le v_{cm}<0$)	${∆V}_{f,max}>{\epsilon }_{FC}E$	$-2-v_{cm}$	$-1-v_{cm}$
	${∆V}_{f,max}<-{\epsilon }_{FC}E$	$-1-v_{cm}$	$-2-v_{cm}$
Cluster IV ($-4\le v_{cm}\le -2$)	${∆V}_{f,max}>{\epsilon }_{FC}E$	$-2-v_{cm}$	$-4-v_{cm}$
	${∆V}_{f,max}<-{\epsilon }_{FC}E$	$-4-v_{cm}$	$-2-v_{cm}$