Units for constants in simscape custom module

I have a constant that I have declared in the variables section. I'm assuming that everything needs units. Some papers use constants that use equations with units that don't match (on one side of the equation its a constant and on the other side might be V/K)

variables(Access=private)
    cm = { 0, '' };
    i = { 2, 'A' };
    V1= { 0, 'V' };
    T1 = { 0, 'K' }; 
end

in the equations section if I mix up the units will it throw an error?

equations
 i == V1*T1;
end

is there some way to have a unitless constant that doesn't have units?

equations
 cm == V1*T1;
end

[Steven]

Sure enough, Got an error: Provided units 'Ohm' and 'K' are not commensurate

[Steven]

Found some help : https://www.mathworks.com/help/physmod/simscape/lang/declaring-domains-and-components.html#bruso4j-1

To declare a unitless parameter, you can either use the same syntax:

 par1 = { value , '1' };

[Steven]

This doesn't solve my problem right now however, because I have Kelvin/Kelvin and its not going to unitless. Example:

nodes %conserving ports
 Ta = foundation.thermal.thermal; % H:top 
 Tb = foundation.thermal.thermal; % C:bottom
end

variables
   R  = {334, '1'};
end

parameters
   cTemp = {3.2342, '1'}; 
end

equations
   R == (Th.T - cTemp)/Th.T;
end

This will not compile. Even changing R and cTemp to units of K will not compile

Answer 1

[Nirja Mehta]

Assign '1' as the unit of "cm".

[Steven]

That compiles, but I can't combine a that is set with R = {334, '1'}; value with any other unit in an equation so it doesn't have that much use. I need a true unitless value that will compile