diff --git a/src/main/java/com/powsybl/openloadflow/AcLoadFlowFromCache.java b/src/main/java/com/powsybl/openloadflow/AcLoadFlowFromCache.java
index 175174aa95..db4922c4bf 100644
--- a/src/main/java/com/powsybl/openloadflow/AcLoadFlowFromCache.java
+++ b/src/main/java/com/powsybl/openloadflow/AcLoadFlowFromCache.java
@@ -24,6 +24,7 @@
 import org.slf4j.Logger;
 import org.slf4j.LoggerFactory;
 
+import java.util.Collections;
 import java.util.List;
 import java.util.Objects;
 import java.util.stream.Collectors;
@@ -120,7 +121,10 @@ private static AcLoadFlowResult run(AcLoadFlowContext context) {
             context.setNetworkUpdated(false);
             return result;
         }
-        return new AcLoadFlowResult(context.getNetwork(), 0, 0, AcSolverStatus.CONVERGED, OuterLoopResult.stable(), 0d, 0d);
+        return new AcLoadFlowResult(context.getNetwork(), 0,
+                0, AcSolverStatus.CONVERGED, OuterLoopResult.stable(),
+                0d, 0d,
+                Collections.EMPTY_MAP);
     }
 
     public List<AcLoadFlowResult> run() {
diff --git a/src/main/java/com/powsybl/openloadflow/ac/AcLoadFlowContext.java b/src/main/java/com/powsybl/openloadflow/ac/AcLoadFlowContext.java
index f5ce66745f..daab4d50ee 100644
--- a/src/main/java/com/powsybl/openloadflow/ac/AcLoadFlowContext.java
+++ b/src/main/java/com/powsybl/openloadflow/ac/AcLoadFlowContext.java
@@ -8,6 +8,7 @@
 package com.powsybl.openloadflow.ac;
 
 import com.powsybl.openloadflow.ac.equations.asym.AsymmetricalAcEquationSystemCreator;
+import com.powsybl.openloadflow.ac.outerloop.AcOuterLoop;
 import com.powsybl.openloadflow.equations.JacobianMatrix;
 import com.powsybl.openloadflow.lf.AbstractLoadFlowContext;
 import com.powsybl.openloadflow.ac.equations.AcEquationSystemCreator;
@@ -18,6 +19,9 @@
 import com.powsybl.openloadflow.equations.TargetVector;
 import com.powsybl.openloadflow.network.LfNetwork;
 
+import java.util.HashMap;
+import java.util.Map;
+
 /**
  * @author Geoffroy Jamgotchian {@literal <geoffroy.jamgotchian at rte-france.com>}
  */
@@ -31,6 +35,8 @@ public class AcLoadFlowContext extends AbstractLoadFlowContext<AcVariableType, A
 
     private boolean networkUpdated = true;
 
+    private Map<Class<? extends AcOuterLoop>, Object> outerLoopInitData = new HashMap<>();
+
     public AcLoadFlowContext(LfNetwork network, AcLoadFlowParameters parameters) {
         super(network, parameters);
     }
@@ -84,6 +90,14 @@ public void setNetworkUpdated(boolean networkUpdated) {
         this.networkUpdated = networkUpdated;
     }
 
+    public Object getOuterLoopInitData(Class<? extends AcOuterLoop> outerLoopClass) {
+        return outerLoopInitData.get(outerLoopClass);
+    }
+
+    public void setOuterLoopInitData(Map<Class<? extends AcOuterLoop>, Object> outerLoopInitData) {
+        this.outerLoopInitData = outerLoopInitData;
+    }
+
     @Override
     public void close() {
         super.close();
diff --git a/src/main/java/com/powsybl/openloadflow/ac/AcLoadFlowResult.java b/src/main/java/com/powsybl/openloadflow/ac/AcLoadFlowResult.java
index 370839c919..4b8bac7be3 100644
--- a/src/main/java/com/powsybl/openloadflow/ac/AcLoadFlowResult.java
+++ b/src/main/java/com/powsybl/openloadflow/ac/AcLoadFlowResult.java
@@ -8,6 +8,7 @@
 package com.powsybl.openloadflow.ac;
 
 import com.powsybl.loadflow.LoadFlowResult;
+import com.powsybl.openloadflow.ac.outerloop.AcOuterLoop;
 import com.powsybl.openloadflow.ac.solver.AcSolverStatus;
 import com.powsybl.openloadflow.lf.AbstractLoadFlowResult;
 import com.powsybl.openloadflow.lf.outerloop.OuterLoopResult;
@@ -15,6 +16,8 @@
 import com.powsybl.openloadflow.network.LfNetwork;
 import com.powsybl.openloadflow.util.PerUnit;
 
+import java.util.Collections;
+import java.util.Map;
 import java.util.Objects;
 
 /**
@@ -23,19 +26,24 @@
 public class AcLoadFlowResult extends AbstractLoadFlowResult {
 
     public static AcLoadFlowResult createNoCalculationResult(LfNetwork network) {
-        return new AcLoadFlowResult(network, 0, 0, AcSolverStatus.NO_CALCULATION, OuterLoopResult.stable(), Double.NaN, Double.NaN);
+        return new AcLoadFlowResult(network, 0, 0, AcSolverStatus.NO_CALCULATION, OuterLoopResult.stable(), Double.NaN, Double.NaN,
+                Collections.EMPTY_MAP);
     }
 
     private final int solverIterations;
 
     private final AcSolverStatus solverStatus;
 
+    private final Map<Class<? extends AcOuterLoop>, Object> outerLoopInitData;
+
     public AcLoadFlowResult(LfNetwork network, int outerLoopIterations, int solverIterations,
                             AcSolverStatus solverStatus, OuterLoopResult outerLoopResult,
-                            double slackBusActivePowerMismatch, double distributedActivePower) {
+                            double slackBusActivePowerMismatch, double distributedActivePower,
+                            Map<Class<? extends AcOuterLoop>, Object> outerLoopInitData) {
         super(network, slackBusActivePowerMismatch, outerLoopIterations, outerLoopResult, distributedActivePower);
         this.solverIterations = solverIterations;
         this.solverStatus = Objects.requireNonNull(solverStatus);
+        this.outerLoopInitData = outerLoopInitData;
     }
 
     public int getSolverIterations() {
@@ -79,6 +87,10 @@ public Status toComponentResultStatus() {
         }
     }
 
+    public Map<Class<? extends AcOuterLoop>, Object> getOuterLoopInitData() {
+        return outerLoopInitData;
+    }
+
     @Override
     public String toString() {
         return "AcLoadFlowResult(outerLoopIterations=" + outerLoopIterations
diff --git a/src/main/java/com/powsybl/openloadflow/ac/AcOuterLoopContext.java b/src/main/java/com/powsybl/openloadflow/ac/AcOuterLoopContext.java
index 2af20334a5..0b1936845c 100644
--- a/src/main/java/com/powsybl/openloadflow/ac/AcOuterLoopContext.java
+++ b/src/main/java/com/powsybl/openloadflow/ac/AcOuterLoopContext.java
@@ -13,15 +13,23 @@
 import com.powsybl.openloadflow.lf.outerloop.AbstractOuterLoopContext;
 import com.powsybl.openloadflow.network.LfNetwork;
 
+import java.util.Optional;
+
 /**
  * @author Geoffroy Jamgotchian {@literal <geoffroy.jamgotchian at rte-france.com>}
  */
 public class AcOuterLoopContext extends AbstractOuterLoopContext<AcVariableType, AcEquationType, AcLoadFlowParameters, AcLoadFlowContext> {
 
     private AcSolverResult lastSolverResult;
+    private Object outerLoopInitData;
 
-    AcOuterLoopContext(LfNetwork network) {
+    AcOuterLoopContext(LfNetwork network, Object dataForRunFromPreviousValues) {
         super(network);
+        this.outerLoopInitData = dataForRunFromPreviousValues;
+    }
+
+    public Optional<Object> getOuterLoopInitData() {
+        return Optional.ofNullable(outerLoopInitData);
     }
 
     public AcSolverResult getLastSolverResult() {
diff --git a/src/main/java/com/powsybl/openloadflow/ac/AcloadFlowEngine.java b/src/main/java/com/powsybl/openloadflow/ac/AcloadFlowEngine.java
index 2afcd6f13b..159cee3f82 100644
--- a/src/main/java/com/powsybl/openloadflow/ac/AcloadFlowEngine.java
+++ b/src/main/java/com/powsybl/openloadflow/ac/AcloadFlowEngine.java
@@ -26,6 +26,7 @@
 import org.slf4j.Logger;
 import org.slf4j.LoggerFactory;
 
+import java.util.Collections;
 import java.util.HashMap;
 import java.util.List;
 import java.util.Map;
@@ -138,7 +139,7 @@ public AcLoadFlowResult run() {
             LOGGER.info("Network must have at least one bus with generator voltage control enabled");
             Reports.reportNetworkMustHaveAtLeastOneBusGeneratorVoltageControlEnabled(reportNode);
             runningContext.lastSolverResult = new AcSolverResult(AcSolverStatus.SOLVER_FAILED, 0, Double.NaN);
-            return buildAcLoadFlowResult(runningContext, OuterLoopResult.stable(), distributedActivePower);
+            return buildAcLoadFlowResult(runningContext, OuterLoopResult.stable(), distributedActivePower, Collections.EMPTY_LIST);
         }
 
         AcSolver solver = solverFactory.create(context.getNetwork(),
@@ -150,7 +151,7 @@ public AcLoadFlowResult run() {
 
         List<AcOuterLoop> outerLoops = context.getParameters().getOuterLoops();
         List<Pair<AcOuterLoop, AcOuterLoopContext>> outerLoopsAndContexts = outerLoops.stream()
-                .map(outerLoop -> Pair.of(outerLoop, new AcOuterLoopContext(context.getNetwork())))
+                .map(outerLoop -> Pair.of(outerLoop, new AcOuterLoopContext(context.getNetwork(), context.getOuterLoopInitData(outerLoop.getClass()))))
                 .toList();
 
         // outer loops initialization
@@ -218,17 +219,25 @@ public AcLoadFlowResult run() {
                     new OuterLoopResult(runningContext.lastOuterLoopResult.outerLoopName(), OuterLoopStatus.UNSTABLE, runningContext.lastOuterLoopResult.statusText());
         }
 
-        return buildAcLoadFlowResult(runningContext, outerLoopFinalResult, distributedActivePower);
+        return buildAcLoadFlowResult(runningContext, outerLoopFinalResult, distributedActivePower, outerLoopsAndContexts);
     }
 
-    private AcLoadFlowResult buildAcLoadFlowResult(RunningContext runningContext, OuterLoopResult outerLoopFinalResult, double distributedActivePower) {
+    private AcLoadFlowResult buildAcLoadFlowResult(RunningContext runningContext,
+                                                   OuterLoopResult outerLoopFinalResult,
+                                                   double distributedActivePower,
+                                                   List<Pair<AcOuterLoop, AcOuterLoopContext>> outerLoopsAndContexts) {
+
+        Map<Class<? extends AcOuterLoop>, Object> outerLoopInitData = new HashMap<>();
+        outerLoopsAndContexts.forEach(p -> p.getLeft().getInitData(p.getRight()).ifPresent(d -> outerLoopInitData.put(p.getLeft().getClass(), d)));
+
         AcLoadFlowResult result = new AcLoadFlowResult(context.getNetwork(),
                                                        runningContext.outerLoopTotalIterations,
                                                        runningContext.nrTotalIterations.getValue(),
                                                        runningContext.lastSolverResult.getStatus(),
                                                        outerLoopFinalResult,
                                                        runningContext.lastSolverResult.getSlackBusActivePowerMismatch(),
-                                                       distributedActivePower
+                                                       distributedActivePower,
+                                                       outerLoopInitData
                                                        );
 
         LOGGER.info("AC loadflow complete on network {} (result={})", context.getNetwork(), result);
diff --git a/src/main/java/com/powsybl/openloadflow/ac/outerloop/AcOuterLoop.java b/src/main/java/com/powsybl/openloadflow/ac/outerloop/AcOuterLoop.java
index 72be221001..3ff07e97c2 100644
--- a/src/main/java/com/powsybl/openloadflow/ac/outerloop/AcOuterLoop.java
+++ b/src/main/java/com/powsybl/openloadflow/ac/outerloop/AcOuterLoop.java
@@ -14,8 +14,17 @@
 import com.powsybl.openloadflow.ac.equations.AcVariableType;
 import com.powsybl.openloadflow.lf.outerloop.OuterLoop;
 
+import java.util.Optional;
+
 /**
  * @author Geoffroy Jamgotchian {@literal <geoffroy.jamgotchian at rte-france.com>}
  */
 public interface AcOuterLoop extends OuterLoop<AcVariableType, AcEquationType, AcLoadFlowParameters, AcLoadFlowContext, AcOuterLoopContext> {
+
+    /**
+     * Returns data needed to initialize the outerloop for a rerun from previous values.
+     */
+    default Optional<Object> getInitData(AcOuterLoopContext context) {
+        return Optional.empty();
+    }
 }
diff --git a/src/main/java/com/powsybl/openloadflow/ac/outerloop/ReactiveLimitsOuterLoop.java b/src/main/java/com/powsybl/openloadflow/ac/outerloop/ReactiveLimitsOuterLoop.java
index becf192405..484de296d8 100644
--- a/src/main/java/com/powsybl/openloadflow/ac/outerloop/ReactiveLimitsOuterLoop.java
+++ b/src/main/java/com/powsybl/openloadflow/ac/outerloop/ReactiveLimitsOuterLoop.java
@@ -56,6 +56,14 @@ private static final class ContextData {
 
         private final Map<String, MutableInt> pvPqSwitchCount = new HashMap<>();
 
+        public ContextData(Optional<Object> initData) {
+            initData.ifPresent(d -> {
+                if (d instanceof Map map) {
+                    pvPqSwitchCount.putAll(map);
+                }
+            });
+        }
+
         void incrementPvPqSwitchCount(String busId) {
             pvPqSwitchCount.computeIfAbsent(busId, k -> new MutableInt(0))
                     .increment();
@@ -163,7 +171,7 @@ private boolean switchPvPq(List<ControllerBusToPqBus> pvToPqBuses, int remaining
 
     @Override
     public void initialize(AcOuterLoopContext context) {
-        context.setData(new ContextData());
+        context.setData(new ContextData(context.getOuterLoopInitData()));
     }
 
     private static boolean switchPqPv(List<PqToPvBus> pqToPvBuses, ContextData contextData, ReportNode reportNode, int maxPqPvSwitch) {
@@ -349,4 +357,9 @@ public OuterLoopResult check(AcOuterLoopContext context, ReportNode reportNode)
         }
         return new OuterLoopResult(this, status);
     }
+
+    @Override
+    public Optional<Object> getInitData(AcOuterLoopContext context) {
+        return Optional.of(Collections.unmodifiableMap(((ContextData) context.getData()).pvPqSwitchCount));
+    }
 }
diff --git a/src/main/java/com/powsybl/openloadflow/sa/AbstractSecurityAnalysis.java b/src/main/java/com/powsybl/openloadflow/sa/AbstractSecurityAnalysis.java
index 57d634ffc2..eb48186908 100644
--- a/src/main/java/com/powsybl/openloadflow/sa/AbstractSecurityAnalysis.java
+++ b/src/main/java/com/powsybl/openloadflow/sa/AbstractSecurityAnalysis.java
@@ -616,6 +616,8 @@ protected static void distributedMismatch(LfNetwork network, double mismatch, Lo
 
     protected abstract LoadFlowEngine<V, E, P, R> createLoadFlowEngine(C context);
 
+    protected abstract void updateContext(R result, C context);
+
     protected void afterPreContingencySimulation(P acParameters) {
     }
 
@@ -649,6 +651,7 @@ protected SecurityAnalysisResult runSimulations(LfNetwork lfNetwork, List<Propag
 
             // only run post-contingency simulations if pre-contingency simulation is ok
             if (preContingencyComputationOk) {
+                updateContext(preContingencyLoadFlowResult, context);
                 afterPreContingencySimulation(acParameters);
 
                 // update network result
diff --git a/src/main/java/com/powsybl/openloadflow/sa/AcSecurityAnalysis.java b/src/main/java/com/powsybl/openloadflow/sa/AcSecurityAnalysis.java
index 441559dce8..574e6b4127 100644
--- a/src/main/java/com/powsybl/openloadflow/sa/AcSecurityAnalysis.java
+++ b/src/main/java/com/powsybl/openloadflow/sa/AcSecurityAnalysis.java
@@ -112,4 +112,9 @@ protected PostContingencyComputationStatus postContingencyStatusFromLoadFlowResu
     protected void beforeActionLoadFlowRun(AcLoadFlowContext context) {
         context.getParameters().setVoltageInitializer(new PreviousValueVoltageInitializer(true));
     }
+
+    @Override
+    protected void updateContext(AcLoadFlowResult result, AcLoadFlowContext context) {
+        context.setOuterLoopInitData(result.getOuterLoopInitData());
+    }
 }
diff --git a/src/main/java/com/powsybl/openloadflow/sa/DcSecurityAnalysis.java b/src/main/java/com/powsybl/openloadflow/sa/DcSecurityAnalysis.java
index c6004a6ea9..5ad0e4919e 100644
--- a/src/main/java/com/powsybl/openloadflow/sa/DcSecurityAnalysis.java
+++ b/src/main/java/com/powsybl/openloadflow/sa/DcSecurityAnalysis.java
@@ -73,4 +73,9 @@ protected DcLoadFlowEngine createLoadFlowEngine(DcLoadFlowContext context) {
     protected PostContingencyComputationStatus postContingencyStatusFromLoadFlowResult(DcLoadFlowResult result) {
         return result.isSuccess() ? PostContingencyComputationStatus.CONVERGED : PostContingencyComputationStatus.FAILED;
     }
+
+    @Override
+    protected void updateContext(DcLoadFlowResult result, DcLoadFlowContext context) {
+        // Nothing to do
+    }
 }
diff --git a/src/main/java/com/powsybl/openloadflow/sensi/AcSensitivityAnalysis.java b/src/main/java/com/powsybl/openloadflow/sensi/AcSensitivityAnalysis.java
index d9f296955c..b0b331dcb1 100644
--- a/src/main/java/com/powsybl/openloadflow/sensi/AcSensitivityAnalysis.java
+++ b/src/main/java/com/powsybl/openloadflow/sensi/AcSensitivityAnalysis.java
@@ -110,7 +110,7 @@ private void calculatePostContingencySensitivityValues(List<LfSensitivityFactor<
             activePowerDistribution.run(lfNetwork, lfContingency.getActivePowerLoss());
         }
 
-        if (!runLoadFlow(context, false)) {
+        if (!runLoadFlow(context, false, false)) {
             // write contingency status
             resultWriter.writeContingencyStatus(contingencyIndex, SensitivityAnalysisResult.Status.FAILURE);
             return;
@@ -145,10 +145,15 @@ private void calculatePostContingencySensitivityValues(List<LfSensitivityFactor<
         calculateSensitivityValues(lfFactors, factorGroups, factorsStates, contingencyIndex, resultWriter);
     }
 
-    private static boolean runLoadFlow(AcLoadFlowContext context, boolean throwsExceptionIfNoConvergence) {
+    private static boolean runLoadFlow(AcLoadFlowContext context,
+                                       boolean throwsExceptionIfNoConvergence,
+                                       boolean updateContext) {
         AcLoadFlowResult result = new AcloadFlowEngine(context)
                 .run();
         if (result.isSuccess() || result.getSolverStatus() == AcSolverStatus.NO_CALCULATION) {
+            if (updateContext) {
+                context.setOuterLoopInitData(result.getOuterLoopInitData());
+            }
             return true;
         } else {
             if (throwsExceptionIfNoConvergence) {
@@ -249,7 +254,7 @@ public void analyse(Network network, List<PropagatedContingency> contingencies,
 
             try (AcLoadFlowContext context = new AcLoadFlowContext(lfNetwork, acParameters)) {
 
-                runLoadFlow(context, true);
+                runLoadFlow(context, true, true);
 
                 // index factors by variable group to compute a minimal number of states
                 SensitivityFactorGroupList<AcVariableType, AcEquationType> factorGroups = createFactorGroups(validLfFactors.stream()
diff --git a/src/test/java/com/powsybl/openloadflow/sa/OpenSecurityAnalysisTest.java b/src/test/java/com/powsybl/openloadflow/sa/OpenSecurityAnalysisTest.java
index 07a08ee6b8..a5bb2806cc 100644
--- a/src/test/java/com/powsybl/openloadflow/sa/OpenSecurityAnalysisTest.java
+++ b/src/test/java/com/powsybl/openloadflow/sa/OpenSecurityAnalysisTest.java
@@ -1818,7 +1818,9 @@ void testStatusConversion() {
 
     private AcLoadFlowResult buildTestAcLoadFlowResult(AcSolverStatus solverStatus, OuterLoopStatus outerLoopStatus) {
         LfNetwork lfNetwork = Mockito.mock(LfNetwork.class);
-        return new AcLoadFlowResult(lfNetwork, 0, 0, solverStatus, new OuterLoopResult("", outerLoopStatus), 0d, 0d);
+        return new AcLoadFlowResult(lfNetwork, 0, 0,
+                solverStatus, new OuterLoopResult("", outerLoopStatus),
+                0d, 0d, Collections.EMPTY_MAP);
     }
 
     @Test