samples/texts/1072043/page_13.md

Criterion (AIC), as shown in equation (16), is used to calculate a comparison of models with different structures.

$$\begin{array}{cccc}& AIC=\log V+\frac{2d}{N}& & \text{(16)}\end{array}AIC\; =\; \backslash log\; V\; +\; \backslash frac\{2d\}\{N\}\; \backslash tag\{16\}$$

Waveforms of input and output from the experimental setup consist of DC voltage, DC output current, AC voltage and AC output current. Model properties, estimators, percentage of accuracy, Final Prediction Error - FPE and Akaikae Information Criterion - AIC of the model are shown in Table 3. Examples of voltage and current output waveforms of multi input-multi output (MIMO) model in steady state condition (FVMC) having accuracy 97.03% and 91.7 % are shown in Fig 21.

Type	I/P	O/P	Linear model parameters [nb1 nb2 nb3 nb4] poles [nf1 nf2 nf3 nf4] zeros [nk1 nk2 nk3 nk4] delays	% fit Voltage Current	FPE	AIC
Steady state conditions
FCLV	DZ	DZ	[4 4 3 5];	87.3	3,080.90	10.9
			[5 5 3 6];	85.7
			[3 4 4 2]
FCMV	PW	PW	[5 2 4 4];	84.5	729.03	6.59
			[4 2 3 4];	86.4
			[2 2 4 3];
FCHV	ST	ST	[2 2 3 4];	89.5	26.27	3.26
			[1 2 1 2];	88.7
			[2 1 3 2];
FVLC	SN	SN	[3 6 3 2];	56.8	0.07	2.57
			[8 5 4 3];	60.5
			[2 4 3 5];
FVMC	WN	WN	[3 4 2 5];	97.03	254.45	7.89
			[4 2 3 4];	91.7
			[2 3 2 4];
FVHC	WN	WN	[1 4 3 5];	88	3,079.8	10.33
			[5 2 3 5];	94
			[1 3 2 4];
Transient conditions
Step Up	DZ	DZ	[3 4 2 4];	91.75	3,230	7.40
			[4 5 4 3];	87.20
			[2 3 5 5];
			[4 5 2 2];
Step Down	PW	PW	[3 5 5 3];	85.99	3,233	10.0
			[3 5 4 3];	85.12
			[3 5 5 4];
			[4 4 4 1];

Table 3. Results of a PV inverter modeling using a Hammerstein-Wiener model