The most accurate and versatile method of achieving reactive power compensation is by using switched capacitors with controlled reactors. This method combines the benefits of both capacitors and reactors to effectively compensate for reactive power in electrical systems. Let's explore why this option is the correct answer in detail.

**Switched Capacitors:**
- Capacitors are commonly used in power systems to provide reactive power compensation. They can quickly absorb or release reactive power to maintain the desired power factor.
- Switched capacitors are a type of capacitor bank that can be switched on or off based on the system requirements. This allows for dynamic reactive power compensation as the system load changes.
- Switching capacitors can provide fast response times, allowing for immediate compensation of reactive power.

**Controlled Reactors:**
- Reactors are passive devices used to limit the flow of current and control voltage in electrical systems.
- Controlled reactors, also known as variable reactors or saturable reactors, have the ability to vary their inductance based on the system conditions.
- By adjusting the inductance of the reactor, it is possible to control the flow of reactive power in the system.
- Controlled reactors can provide precise and accurate compensation for reactive power, ensuring that the power factor is maintained within desired limits.

**Benefits of Switched Capacitors with Controlled Reactors:**
- The combination of switched capacitors and controlled reactors provides a versatile solution for reactive power compensation.
- Switched capacitors can quickly respond to changes in the system load, providing immediate compensation.
- Controlled reactors can fine-tune the reactive power compensation, ensuring accurate and precise correction of the power factor.
- By using both capacitors and reactors together, it is possible to achieve a high level of flexibility in reactive power compensation.
- This method can effectively mitigate reactive power issues such as voltage fluctuations, power factor distortion, and excessive line losses.

In conclusion, the most accurate and versatile method of achieving reactive power compensation is by using switched capacitors with controlled reactors. This combination allows for fast response times, precise compensation, and flexibility in handling varying system conditions. By implementing this method, power systems can maintain a stable and efficient operation while ensuring the power factor remains within desired limits.