Simulation Study on Clustering Approaches for Short-Term Electricity Forecasting

Table 2

Size of each cluster by the type of partition and time series similarity measure.

Partition number	Autocorrelation-based distances									Partition number	Fourier coefficients-based distance
1	35	11								1	40	6
2	26	11	9							2	30	6	10
3	23	11	3	9						3	30	2	4	10
4	7	16	11	3	9					4	30	1	4	10	1
5	7	16	4	7	3	9				5	21	1	9	4	10	1
6	7	11	4	5	7	3	9			6	21	1	8	4	10	1	1
7	7	11	4	5	7	3	4	5		7	13	1	8	8	4	10	1	1
8	3	4	11	4	5	7	3	4	5	8	13	1	8	8	3	1	10	1	1
Partition number	Distance based on cross-correlation									Partition number	Periodogram-based distances
1	40	6								1	37	9
2	40	5	1							2	26	9	11
3	40	1	4	1						3	26	3	6	11
4	39	1	4	1	1					4	10	3	16	6	11
5	39	1	2	1	2	1				5	10	3	11	6	11	5
6	36	3	1	2	1	2	1			6	5	3	11	6	5	11	5
7	35	3	1	2	1	2	1	1		7	5	3	11	3	5	3	11	5
8	35	3	1	1	1	2	1	1	1	8	5	2	11	3	5	3	1	11	5
Partition number	DTW distance									Partition number	LCSS distance
1	40	6								1	40	6
2	30	6	10							2	38	2	6
3	24	6	6	10						3	9	29	2	6
4	24	2	6	4	10					4	9	12	2	17	6
5	24	1	6	4	10	1				5	4	12	2	17	6	5
6	15	1	6	9	4	10	1			6	4	12	2	16	6	5	1
7	15	1	6	9	1	3	10	1		7	4	7	2	5	16	6	5	1
8	6	1	9	6	9	1	3	10	1	8	4	6	2	5	16	6	5	1	1
Partition number	EDR distance									Partition number	STS distance
1	24	22								1	25	21
2	24	7	15							2	24	21	1
3	18	7	15	6						3	23	1	21	1
4	14	7	15	6	4					4	22	1	21	1	1
5	14	3	15	4	6	4				5	21	1	21	1	1	1
6	12	3	15	4	2	6	4			6	19	1	21	2	1	1	1
7	12	2	15	4	2	6	1	4		7	19	1	21	1	1	1	1	1
8	12	2	7	4	8	2	6	1	4	8	18	1	21	1	1	1	1	1	1
Partition number	distance									Partition number	TQuest distance
1	40	6								1	42	4
2	30	6	10							2	42	3	1
3	30	2	4	10						3	41	3	1	1
4	30	1	4	10	1					4	41	1	2	1	1
5	18	1	12	4	10	1				5	39	1	2	1	2	1
6	18	1	11	4	10	1	1			6	35	4	1	2	1	2	1
7	18	1	10	1	4	10	1	1		7	35	3	1	2	1	2	1	1
8	18	1	6	4	1	4	10	1	1	8	35	3	1	2	1	1	1	1	1