Significance of K factor in High VoltageCircuit Breaker Ratings

High Voltage Circuit Breaker Interrupting Rating

The interrupting ratings of a high-voltage circuit breaker are primarily defined by two parameters: the rated short-circuit current, I, and the rated maximum voltage, V, at which the breaker must interrupt I. These concepts are straight forward and widely understood. However, high-voltage circuit breakers also feature a lesser-known parameter called the voltage range factor, K.

Note: This factor is unrelated to the K-factor used for assessing a transformer's suitability in circuits with high harmonic levels.
High Voltage Circuit Breaker Nameplate
High Voltage Circuit Breaker Nameplate

ANSI Standards

In many circuit breaker designs, the physics of arc interruption enable a breaker to interrupt higher currents at lower voltages. To account for this characteristic in circuit breaker applications, the K factor was introduced in ANSI standards. The K factor is a dimensionless value that defines the range of voltages over which the interrupting current increases. The ratio of the rated maximum voltage to K, or V/K, identifies the voltage below which no increase in interrupting current is required.

The K factor also determines the extent of the required increase in interrupting capacity. At V/K, the interrupting current must equal KI. Between V and V/K, the increase in current is proportional to the decrease in voltage, and it can be calculated using the formula:

Required~symmetrical~current~interrupting~capability~=~rated~short-circuit~current * {(rated maximum voltage/operating voltage)}

This formula ensures a constant MVA interrupting rating (calculated as sqrt{3}*V*I) between V and V/K, and a constant current interrupting rating (KI) at voltages below V/K.

Important Notes About the K Factor

1. Alignment with Circuit Breaker Technology
The concept of the K factor aligns with the physical characteristics of oil-blast and air-magnetic circuit breakers. These technologies inherently have higher interrupting capacities at lower voltages, and using a K factor other than 1 allows for broader application of a single breaker. However, circuit breakers utilizing vacuum or SF6 puffer interrupters exhibit nearly constant current interrupting capabilities up to their maximum voltage limits. For these technologies, assigning a K factor other than 1 does not reflect their physical attributes. Consequently, in the 1987 edition of ANSI C37.06, K is set to 1.0 for all breakers except indoor oilless types used in metal-clad switchgear.
2. Relevance in System Applications
For a system with a known voltage, the K factor is less critical. In practice, if system voltage decreases, the available short-circuit current also decreases rather than increases. If a circuit breaker is correctly rated for the maximum system voltage, it will have sufficient interrupting capacity for any lower voltage within the same system.
See also  Protection Against Electric Shock

Leave a Reply

Your email address will not be published. Required fields are marked *

This site uses Akismet to reduce spam. Learn how your comment data is processed.