Modeling Electromechanical Overcurrent Relays Using Singular Value Decomposition

Table 1

The 26 parameters in (4.1) for the IAC51 relay.

TDS	1	4	7	10
𝑛	4	9	12	13
𝐶1	4.7488𝐸−01	1.7515𝐸+00	3.4807𝐸+00	5.6144𝐸+00
𝛼1	2.4356𝐸+00	3.5435𝐸+00	3.5331𝐸+00	3.5255𝐸+00
𝐶2	3.3871𝐸−01	1.7317𝐸+00	3.4524𝐸+00	5.1574𝐸+00
𝛼2	5.9703𝐸−01	9.9106𝐸−01	9.5370𝐸−01	9.6362𝐸−01
𝐶3	2.4584𝐸−01	8.9496𝐸−01	1.2812𝐸+00	2.6120𝐸+00
𝛼3	4.0672𝐸−03	2.6039𝐸−01	5.5443𝐸−03	2.6972𝐸−01
𝐶4	1.7784𝐸−01	6.3240𝐸−01	1.4444𝐸+00	1.8188𝐸+00
𝛼4	1.2779𝐸−01	3.2351𝐸−03	1.0340𝐸−01	4.7116𝐸−03
𝐶5	0	4.7301𝐸−01	0	1.4377𝐸+00
𝛼5	0	6.2658𝐸−02	0	7.2246𝐸−02
𝐾1	0	3.9552𝐸−04	5.5417𝐸−01	3.4270𝐸−03
𝑓1	0	1.0527𝐸−01	1.7904𝐸−02	1.2421𝐸−01
𝐴𝑟1	0	1.3835𝐸+00	1.7813𝐸+05	1.9980𝐸+00
𝜑1	0	−1.9811𝐸+00	6.7820𝐸−01	1.4603𝐸+00
𝐾2	0	3.2805𝐸−02	8.4039𝐸−04	2.4583𝐸−03
𝑓2	0	4.4042𝐸+00	1.0384𝐸−01	2.2450𝐸−01
𝐴𝑟2	0	2.4185𝐸+00	1.5521𝐸+00	1.5293𝐸+00
𝜑2	0	−6.6692𝐸+00	4.0532𝐸+00	−6.1765𝐸+00
𝐾3	0	0	1.7842𝐸−04	6.4674𝐸−04
𝑓3	0	0	1.7112𝐸−01	3.1642𝐸−01
𝐴𝑟3	0	0	1.1211𝐸+00	1.1454𝐸+00
𝜑3	0	0	1.5805𝐸+00	1.7011𝐸−01
𝐾4	0	0	6.6388𝐸−02	1.2479𝐸−01
𝑓4	0	0	4.4591𝐸+00	4.5025𝐸+00
𝐴𝑟4	0	0	2.2498𝐸+00	2.4045𝐸+00
𝜑4	0	0	−4.9733𝐸−01	−6.0588𝐸−01

TDS: time dial setting; 𝑛: number of fitted waveform components.