Improved Power Flow Algorithm for VSC-HVDC System Based on High-Order Newton-Type Method

Table 3

Results of the power flow calculation of AC system.

Control mode	Method	Bus Number
		1		2		3		4
		𝑉	θ	𝑉	θ	𝑉	θ	𝑉	θ
①+③	Newton	1.0600	0	1.0450	−5.5025	1.0333	−8.1365	1.0271	−9.8132
	Algorithm 1	1.0600	0	1.0450	−5.5025	1.0333	−8.1365	1.0271	−9.8132
	Algorithm 2	1.0600	0	1.0450	−5.5025	1.0333	−8.1365	1.0271	−9.8132
	Sixth-order Newton	1.0600	0	1.0450	−5.5025	1.0333	−8.1365	1.0271	−9.8132
①+④	Newton	1.0600	0	1.0450	−5.5012	1.0340	−8.1415	1.0279	−9.8187
	Algorithm 1	1.0600	0	1.0450	−5.5012	1.0340	−8.1415	1.0279	−9.8187
	Algorithm 2	1.0600	0	1.0450	−5.5012	1.0340	−8.1415	1.0279	−9.8187
	Sixth-order Newton	1.0600	0	1.0450	−5.5012	1.0340	−8.1415	1.0279	−9.8187
②+③	Newton	1.0600	0	1.0450	−5.5013	1.0341	−8.1434	1.0281	−9.8208
	Algorithm 1	1.0600	0	1.0450	−5.5013	1.0341	−8.1434	1.0281	−9.8208
	Algorithm 2	1.0600	0	1.0450	−5.5013	1.0341	−8.1434	1.0281	−9.8208
	Sixth-order Newton	1.0600	0	1.0450	−5.5013	1.0341	−8.1434	1.0281	−9.8208
②+④	Newton	1.0600	0	1.0450	−5.4996	1.0344	−8.1435	1.0284	−9.8208
	Algorithm 1	1.0600	0	1.0450	−5.4996	1.0344	−8.1435	1.0284	−9.8208
	Algorithm 2	1.0600	0	1.0450	−5.4996	1.0344	−8.1435	1.0284	−9.8208
	Sixth-order Newton	1.0600	0	1.0450	−5.4996	1.0344	−8.1435	1.0284	−9.8208