Determination of PV Generator I-V/P-V Characteristic Curves Using a DC-DC Converter Controlled by a Virtual Instrument

Table 1

Values of 𝑅_𝑖, 𝑅_crit., and 𝐾_crit. for different DC-DC converters.

	Buck Converter	Boost Converter	Buck-Boost-derived Converters
𝑅𝑖 (CCM)	𝑅𝐷^2	𝑅(1−𝐷)^2	𝑅(1−𝐷)^2𝐷^2
𝑅𝑖 (DCM)	𝑅4⋅1+1+4𝐾𝐷^22	4⋅𝑅(1+1+4𝐷^2/𝐾)^2	𝐾⋅𝑅𝐷^2
K crit.	1−𝐷	𝐷(1−𝐷)^2	(1−𝐷)^2
R crit.	2𝐿eq.(1−𝐷)𝑇𝑆	2𝐿eq.𝐷(1−𝐷)^2𝑇𝑆	2𝐿eq.(1−𝐷)^2𝑇𝑆
With 𝐾=2𝐿eq𝑅𝑇𝑆 and 1𝐿eq=1𝐿1+1𝐿2.DCM occurs for 𝐾<𝐾crit. or 𝑅>𝑅crit.