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The issue is the use of the COP where the expression requires EER. Using the COP of 3.16 you reference, that is an EER of 10.78. NOTE: my 90.1-2007 has slightly different EER ratings than what you are referencing. It has EER= 10.6 which is a COP of 3.1067. Minor, but may impact answer.

COP_nfcooling = 7.84e-8(10.78)*(136480)+0.338(10.78) = 0.115 + 3.644 = 3.759 where "nf" = no fan I believe.

Unsure why you bumped the cooling capacity from 39 kW to 40kW. any reason?

The expressions in the post you linked from @Anna Osborne Brannon should work for the heating COP as well.

The issue is the use of the COP where the expression requires EER. Using the COP of 3.16 you reference, that is an EER of 10.78. NOTE: my 90.1-2007 has slightly different EER ratings than what you are referencing. It has EER= 10.6 which is a COP of 3.1067. Minor, but may impact answer.

COP_nfcooling = 7.84e-8(10.78)*(136480)+0.338(10.78) = 0.115 + 3.644 = 3.759 where "nf" = no fan I believe.

Unsure why you bumped the cooling capacity from 39 kW to 40kW. any reason?

The expressions in the post you linked from @Anna Osborne Brannon @Anna_Osborne_Brannon should work for the heating COP as well.

The issue is the use of the COP where the expression requires EER. Using the COP of 3.16 you reference, that is an EER of 10.78. NOTE: my 90.1-2007 has slightly different EER ratings than what you are referencing. It has EER= 10.6 which is a COP of 3.1067. Minor, but may impact answer.

COP_nfcooling = 7.84e-8(10.78)*(136480)+0.338(10.78) = 0.115 + 3.644 = 3.759 where "nf" = no fan I believe.

Unsure why you bumped the cooling capacity from 39 kW to 40kW. any reason?

The expressions in the post you linked from @Anna_Osborne_Brannon @(Anna Osborne Brannon) should work for the heating COP as well.

The issue is the use of the COP where the expression requires EER. Using the COP of 3.16 you reference, that is an EER of 10.78. NOTE: my 90.1-2007 has slightly different EER ratings than what you are referencing. It has EER= 10.6 which is a COP of 3.1067. Minor, but may impact answer.

COP_nfcooling = 7.84e-8(10.78)*(136480)+0.338(10.78) = 0.115 + 3.644 = 3.759 where "nf" = no fan I believe.

Unsure why you bumped the cooling capacity from 39 kW to 40kW. any reason?

The expressions in the post you linked from @(Anna Osborne Brannon) should work for the heating COP as well.

The issue is the use of the COP where the expression requires EER. Using the COP of 3.16 you reference, that is an EER of 10.78. NOTE: my 90.1-2007 has slightly different EER ratings than what you are referencing. It has EER= 10.6 which is a COP of 3.1067. Minor, but may impact answer.

COP_nfcooling = 7.84e-8(10.78)*(136480)+0.338(10.78) = 0.115 + 3.644 = 3.759 where "nf" = no fan I believe.

Unsure why you bumped the cooling capacity from 39 kW to 40kW. any reason?

The expressions in the post you linked from should work for the heating COP as well.

The issue is the use of the COP where the expression requires EER. Using the COP of 3.16 you reference, that is an EER of 10.78. NOTE: my 90.1-2007 has slightly different EER ratings than what you are referencing. It has EER= 10.6 which is a COP of 3.1067. Minor, but may impact answer.

COP_nfcooling = 7.84e-8(10.78)*(136480)+0.338(10.78) = 0.115 + 3.644 = 3.759 where "nf" = no fan I believe.

Unsure why you bumped the cooling capacity from 39 kW to 40kW. any reason?

The expressions in the post you linked from @"Anna Osborne Brannon" should work for the heating COP as well.

The issue is the use of the COP where the expression requires EER. Using the COP of 3.16 you reference, that is an EER of 10.78. NOTE: my IP 90.1-2007 has slightly different EER ratings than what you are referencing. It has EER= 10.6 which is a COP of 3.1067. Minor, but may impact answer.

COP_nfcooling = 7.84e-8(10.78)*(136480)+0.338(10.78) = 0.115 + 3.644 = 3.759 where "nf" = no fan I believe.

Unsure why you bumped the cooling capacity from 39 kW to 40kW. any reason?

The expressions in the post you linked from @"Anna Osborne Brannon" should work for the heating COP as well.