After presenting the equations that we will be using for the Complex MVA Method in Part 1, we shall be learning how to combine MVAs or KVAs in this part.

In this tutorial,I have presented the methodology of combining KVAs. This principle will still be used for the Complex MVA Method.

I. Parallel MVAs


II. Parallel MVARs


III. Parallel MWs



{{MVA_1}=200MVA}, {{X/R}=5} is connected in parallel with {{MVA2}=500MVA}, {{X/R}=12}

Using the equations in Part 1:

{MVA_1} = 200 MVA

{theta_1} = {tan^-1}{5} = 78.7^o

{MW_1} = {MVA_1}*cos {theta_1} = 39.2

{MVAR_1} = {MVA_1}*sin {theta_1} = 196.1

{MVA_2} = 500 MVA

{theta_2} = {tan^-1}(12) = 85.2^o

{MW_2} = {MVA_2}*cos {theta_2} = 41.8

{MVAR_2} = {MVA_2}*sin {theta_2} = 498.2

The resulting values will be:

MVA_total = 200+500 = 700

{MW_total} = 39.2+41.8 = 81

{MVAR_total} = 196.1+498.2 = 694.3

{X/R}_total = {694.3/81} = 8.6

On the next part, we will be dealing with Complex MVA Method for MVAs in series.


  • A Filipino Engineer, Registered Professional Engineer of Queensland (RPEQ) - Australia, and Professional Electrical Engineer (PEE 2574 - 1st Place April 1991) - Philippines with extensive experience in concept selection, front-end engineering, HV & LV detail design, construction, and commissioning of Hazardous and Non-Hazardous Area electrical installations in water and wastewater pipeline and pumping facilities, offshore platforms, hydrocarbon process plants and pipelines including related facilities. Hazardous area classification and design certification (UEENEEM015B, UEENEEM016B, UEENEEM017B).