With the emergence of competitive electricity power markets, reactive power ancillary services and reactive power markets have attracted attention from researchers and system operators all over the world. Reactive power is an important system support service for secure and reliable operation of power systems. Improper management of reactive power can also hinder the operational efficiency of other power markets. It has been recognized that the reactive power of a generator has several roles, namely, supplying reactive demand, maintaining system security and supporting its real power transmission. It is rational that the minimal reactive power used to support its real power transmission should not receive financial compensation in power markets. Hence, this component of reactive power can be regarded as the minimal reactive power support of a generator. A reactive power optimization model along with a power flow tracing based method is proposed in this article to tackle this problem. The validity and rationality of the approach are verified using a simple meshed 5-bus system.