Calculating line-to-neutral voltages without a connection to a system neutral or earth ground

An apparatus comprising:

• a measurement module that measures three line-to-line voltages for the phases in a three-phase power system, each line-to-line voltage comprising a voltage magnitude;
• a triangle module that constructs, on a two-dimensional coordinate system with an origin, a phasor triangle comprising the three line-to-line voltages represented as phasors, wherein a first phasor Vab originates at a first point and extends in a direction along a horizontal axis of the coordinate system to the origin, a second phasor Vbc extends between the origin and a second point, the second point in a direction vertically and horizontally from the origin, and a third phasor Vca extends between the second point and the first point;
• a first line module that adds a first line segment that extends from a point that bisects the second phasor Vbc in a direction perpendicular to the second phasor Vbc and away from the phasor triangle, the first line segment terminating at a third point;
• a second line module that adds a second line segment that extends from a point that bisects the third phasor Vca in a direction perpendicular to the third phasor Vca and away from the phasor triangle, the second line segment terminating at a fourth point;
• a third line module that adds a third line segment from the third point to the first point;
• a fourth line module that adds a fourth line segment from the fourth point to the origin, wherein the third line segment intersects the fourth line segment at a neutral point;
• and
• a line-to-neutral module that determines a line-to-neutral voltage, the line to-neutral voltage comprising a line from the neutral point to a vertex of the phasor triangle,
• wherein at least a portion of said modules comprise one or more of hardware and executable code, the executable code stored on one or more computer readable storage media.

A computer program product for determining a voltage, the computer program product comprising a computer readable storage medium having program code embodied therein, the program code readable/executable by a processor for:

• measuring three line-to-line voltages for the phases in a three-phase power system, each line-to-line voltage comprising a voltage magnitude;
• constructing, on a two-dimensional coordinate system with an origin, a phasor triangle comprising the three line-to-line voltages represented as phasors, wherein a first phasor Vab originates at a first point and extends in a direction along a horizontal axis of the coordinate system to the origin, a second phasor Vbc extends between the origin and a second point, the second point in a direction vertically and horizontally from the origin, and a third phasor Vca extends between the second point and the first point;
• determining a third point by adding a first line segment that extends from a point that bisects the second phasor Vbc in a direction perpendicular to the second phasor Vbc and away from the phasor triangle, the first line segment terminating at the third point;
• determining a fourth point by adding a second line segment that extends from a point that bisects the third phasor Vca in a direction perpendicular to the third phasor Vca and away from the phasor triangle, the second line segment terminating at the fourth point;
• determining a neutral point by adding a third line segment from the third point to the first point and adding a fourth line segment from the fourth point to the origin, wherein the third line segment intersects the fourth line segment at the neutral point;
• and
• determining a line-to-neutral voltage, the line-to-neutral voltage comprising a line from the neutral point to a vertex of the phasor triangle.