Modeling Electromechanical Overcurrent Relays Using Singular Value Decomposition

Table 4

The 40 parameters in (4.2) for the CO-8 relay.

TDS	0.5	3	6	9
n	9	12	15	19
𝐶1	2.2260𝐸+00	2.5261𝐸+01	3.7055𝐸+01	5.8957𝐸+01
𝛼1	3.6161𝐸+00	3.7976𝐸+00	4.2328𝐸+00	3.5943𝐸+00
𝐶2	9.4399𝐸−01	4.8815𝐸−01	2.3176𝐸+01	2.9885𝐸+01
𝛼2	9.7475𝐸−01	3.7793𝐸−03	1.8071𝐸+00	1.5467𝐸+00
𝐶3	1.6429𝐸−01	5.1059𝐸−01	7.0000𝐸+00	9.1230𝐸+00
𝛼3	2.6196𝐸−01	1.1208𝐸−01	6.2423𝐸−01	6.0876𝐸−01
𝐶4	2.3958𝐸−02	1.9846𝐸+00	1.0226𝐸+00	1.6539𝐸+00
𝛼4	−9.7055𝐸−03	4.1472𝐸−01	2.1111𝐸−01	2.3403𝐸−01
𝐶5	5.1724𝐸−02	0	9.8116𝐸−01	1.5020𝐸+00
𝛼5	1.9268𝐸−02	0	3.4244𝐸−03	4.0665𝐸−03
𝐶6	0	0	5.4251𝐸−01	1.0217𝐸+00
𝛼6	0	0	7.9622𝐸−02	7.9132𝐸−02
𝐾1	1.2639𝐸−04	3.1088𝐸+00	3.7043𝐸+00	2.9481𝐸−01
𝑓1	8.1404𝐸−02	6.7874𝐸−02	1.5581𝐸+00	1.0716𝐸+00
𝐴𝑟1	1.5162𝐸+00	7.4100𝐸+05	5.2041𝐸+02	1.3713𝐸+01
𝜑1	−3.4533𝐸−02	1.6373𝐸−01	1.2089𝐸+00	−2.5188𝐸+00
𝐾2	8.8486𝐸−02	2.3338𝐸−02	6.1002𝐸−03	4.7967𝐸−03
𝑓2	3.3685𝐸+00	6.0254𝐸−01	2.8122𝐸+00	2.0997𝐸+00
𝐴𝑟2	8.2508𝐸+00	4.8391𝐸+00	1.1917𝐸+00	1.1848𝐸+00
𝜑2	−1.7509𝐸+00	−2.5597𝐸+00	−7.5985𝐸+00	7.1928𝐸−02
𝐾3	0	5.8643𝐸+00	2.1803𝐸−02	1.6860𝐸−02
𝑓3	0	2.8484𝐸+00	3.3973𝐸+00	2.4543𝐸+00
𝐴𝑟3	0	1.5179𝐸+02	1.3685𝐸+00	1.3082𝐸+00
𝜑3	0	−6.8235𝐸+00	3.3636𝐸+00	−1.1421𝐸+00
𝐾4	0	1.5217𝐸−01	4.9041𝐸−01	3.8013𝐸−02
𝑓4	0	4.3811𝐸+00	4.2044𝐸+00	2.8364𝐸+00
𝐴𝑟4	0	1.7508𝐸+00	1.9500𝐸+00	1.3904𝐸+00
𝜑4	0	4.6268𝐸−01	−4.5837𝐸+00	−1.5897𝐸+00
𝐾5	0	0	0	1.1831𝐸−01
𝑓5	0	0	0	3.3797𝐸+00
𝐴𝑟5	0	0	0	1.6111𝐸+00
𝜑5	0	0	0	−2.6524𝐸+00
𝐾6	0	0	0	7.6744𝐸−01
𝑓6	0	0	0	4.0923𝐸+00
𝐴𝑟6	0	0	0	1.9734𝐸+00
𝜑6	0	0	0	−3.8092𝐸+00
𝐾7	0	0	2.8143𝐸+00	2.9320𝐸+00
𝑓7	0	0	5.0000𝐸+00	5.0000𝐸+00
𝐴𝑟7	0	0	3.5972𝐸+00	2.7190𝐸+00
𝜑7	0	0	−3.1416𝐸+00	−3.1416𝐸+00

Please refer to Table 1 for the meanings of the terms.